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Engineering Mechanics: Statics and Dynamics

R. C. Hibbeler

Chapter 5

Equilibrium of a Rigid Body - all with Video Answers

Educators

Chapter Questions

02:54

Problem 1

Draw the free-body diagram for the following problems.
a) The cantilevered beam in Prob. $5-10$.
b) The beam in Prob. $5-11$
c) The beam in Prob. $5-12$.
d) The beam in Prob. $5-14$

Eric Mockensturm
Eric Mockensturm
Numerade Educator
02:50

Problem 2

Draw the free-body diagram for the following problems.
a) The truss in Prob. $5-15$
b) The beam in Prob. $5-16$
c) The man and load in Prob. $5-17$
d) The beam in Prob. $5-18$

Eric Mockensturm
Eric Mockensturm
Numerade Educator
02:33

Problem 3

Draw the frec-body diagram for the following problems.
a) The man and beam in Prob. $5-19$
b) The rod in Prob. $5-20$
c) The rod in Prob. $5-21$
d) The beam in Prob. $5-22$

Eric Mockensturm
Eric Mockensturm
Numerade Educator
02:56

Problem 4

Draw the free-body diagram for the following problems.
a) The beam in Prob. $5-25$
b) The crane and boom in Prob. $5-26$
c) The bar in Prob. $5-27$
d) The rod in Prob. $5-28$

Eric Mockensturm
Eric Mockensturm
Numerade Educator
02:23

Problem 5

Draw the free-body diagram for the following problems.
a) The boom in Prob. $5-32$
b) The jib crane in Prob. $5-33$
c) The smooth pipe in Prob. $5-35$
d) The beam in Prob. $5-36$

Eric Mockensturm
Eric Mockensturm
Numerade Educator
02:37

Problem 6

Draw the free-body diagram for the following problems.
a) The jib crane in Prob. $5-37$
b) The bar in Prob. $5-39$
c) The bulkhead in Prob. $5-41$
d) The boom in Prob. $5-42$.

Eric Mockensturm
Eric Mockensturm
Numerade Educator
02:38

Problem 7

Draw the free-body diagram for the following problems.
a) The rod in Prob. $5-44$
b) The hand truck and load when it is lifted in Prob. $5-45$
c) The beam in Prob. $5-47$
d) The cantilever footing in Prob. $5-51$

Eric Mockensturm
Eric Mockensturm
Numerade Educator
02:21

Problem 8

Draw the free-body diagram for the following problems.
a) The beam in Prob. $5-52$
b) The boy and diving board in Prob. $5-53$
c) The rod in Prob. $5-54$
d) The rod in Prob. $5-56$

Eric Mockensturm
Eric Mockensturm
Numerade Educator
01:52

Problem 9

Draw the free-body diagram for the following problems.
a) The beam in Prob. $5-57$
b) The rod in Prob. $5-59$
c) The bar in Prob. $5-60$.

Eric Mockensturm
Eric Mockensturm
Numerade Educator
03:03

Problem 10

Determine the components of the support reactions at the fixed support $A$ on the cantilevered beam.

Eric Mockensturm
Eric Mockensturm
Numerade Educator
01:57

Problem 11

Determine the reactions at the supports.

Eric Mockensturm
Eric Mockensturm
Numerade Educator
01:25

Problem 12

Determine the horizontal and vertical components of reaction at the pin $A$ and the reaction of the rocker $B$ on the beam.

Eric Mockensturm
Eric Mockensturm
Numerade Educator
03:19

Problem 13

Determine the reactions at the supports.

Eric Mockensturm
Eric Mockensturm
Numerade Educator
01:46

Problem 14

Determine the reactions at the supports.

Eric Mockensturm
Eric Mockensturm
Numerade Educator
03:07

Problem 15

Determine the reactions at the supports.

Eric Mockensturm
Eric Mockensturm
Numerade Educator
02:13

Problem 16

Determine the tension in the cable and the horizontal and vertical components of reaction of the pin $A$ The pulley at $D$ is frictionless and the cylinder weighs 80 lb.

Eric Mockensturm
Eric Mockensturm
Numerade Educator
04:06

Problem 17

The man attempts to support the load of boards having a weight $W$ and a center of gravity at $G$. If he is standing on a smooth floor, determine the smallest angle $\theta$ at which he can hold them up in the position shown. Neglect his weight.

Eric Mockensturm
Eric Mockensturm
Numerade Educator
02:36

Problem 18

Determine the components of reaction at the supports $A$ and $B$ on the rod.

Eric Mockensturm
Eric Mockensturm
Numerade Educator
02:43

Problem 19

The man has a weight $W$ and stands at the center of the plank. If the planes at $A$ and $B$ are smooth, determine the tension in the cord in terms of $W$ and $\theta$

Eric Mockensturm
Eric Mockensturm
Numerade Educator
07:26

Problem 20

A uniform glass rod having a length $L$ is placed in the smooth hemispherical bowl having a radius $r$. Determine the angle of inclination $\theta$ for equilibrium.

Eric Mockensturm
Eric Mockensturm
Numerade Educator
02:06

Problem 21

The uniform rod $A B$ has a mass of $40 \mathrm{kg}$. Determine the force in the cable when the rod is in the position shown. There is a smooth collar at $A$

Eric Mockensturm
Eric Mockensturm
Numerade Educator
02:38

Problem 22

If the intensity of the distributed load acting on the beam is $w=3 \mathrm{kN} / \mathrm{m},$ determine the reactions at the roller $A$ and pin $B$

Eric Mockensturm
Eric Mockensturm
Numerade Educator
02:17

Problem 23

If the roller at $A$ and the pin at $B$ can support a load up to $4 \mathrm{kN}$ and $8 \mathrm{kN}$, respectively, determine the maximum intensity of the distributed load $w,$ measured in $\mathrm{kN} / \mathrm{m},$ so that failure of the supports does not occur.

Eric Mockensturm
Eric Mockensturm
Numerade Educator
03:04

Problem 24

The relay regulates voltage and current. Determine the force in the spring $C D,$ which has a stiffness of $k=120 \mathrm{N} / \mathrm{m}$ so that it will allow the armature to make contact at $A$ in figure (a) with a vertical force of $0.4 \mathrm{N}$. Also, determine the force in the spring when the coil is energized and attracts the armature to $E,$ figure (b), thereby breaking contact at $A$.

Eric Mockensturm
Eric Mockensturm
Numerade Educator
02:45

Problem 25

Determine the reactions on the bent rod which is supported by a smooth surface at $B$ and by a collar at $A$ which is fixed to the rod and is free to slide over the fixed inclined rod.

Eric Mockensturm
Eric Mockensturm
Numerade Educator
05:40

Problem 26

The mobile crane is symmetrically supported by two outriggers at $A$ and two at $B$ in order to relieve the suspension of the truck upon which it rests and to provide greater stability. If the crane boom and truck have a mass of $18 \mathrm{Mg}$ and center of mass at $G_{1},$ and the boom has a mass of $1.8 \mathrm{Mg}$ and a center of mass at $G_{2}$, determine the vertical reactions at each of the four outriggers as a function of the boom angle $\theta$ when the boom is supporting a load having a mass of $1.2 \mathrm{Mg}$. Plot the results measured from $\theta=0^{\circ}$ to the critical angle where tipping starts to occur.

Eric Mockensturm
Eric Mockensturm
Numerade Educator
01:51

Problem 27

Determine the reactions acting on the smooth uniform bar, which has a mass of $20 \mathrm{kg}$

Eric Mockensturm
Eric Mockensturm
Numerade Educator
02:07

Problem 28

A linear torsional spring deforms such that an applied couple moment $M$ is related to the spring's rotation $\theta$ in radians by the equation $M=(20 \theta) \mathrm{N} \cdot \mathrm{m}$. If such a spring is attached to the end of a pin-connected uniform 10 -kg rod, determine the angle $\theta$ for equilibrium. The spring is undeformed when $\theta=0^{\circ}$

Eric Mockensturm
Eric Mockensturm
Numerade Educator
03:29

Problem 29

Determine the force $P$ needed to pull the $50-\mathrm{kg}$ roller over the smooth step. Take $\theta=30^{\circ}$

Eric Mockensturm
Eric Mockensturm
Numerade Educator
05:05

Problem 30

Determine the magnitude and direction $\theta$ of the minimum force $P$ needed to pull the 50 -kg roller over the smooth step.

Eric Mockensturm
Eric Mockensturm
Numerade Educator
03:24

Problem 31

The operation of the fuel pump for an automobile depends on the reciprocating action of the rocker arm $A B C$ which is pinned at $B$ and is spring loaded at $A$ and $D$. When the smooth cam $C$ is in the position shown, determine the horizontal and vertical components of force at the pin and the force along the spring $D F$ for equilibrium. The vertical force acting on the rocker arm at $A$ is $F_{A}=60 \mathrm{N},$ and at $C$ it is $F_{C}=125 \mathrm{N}$

Eric Mockensturm
Eric Mockensturm
Numerade Educator
03:41

Problem 32

Determine the magnitude of force at the pin $A$ and in the cable $B C$ needed to support the 500 -lb load. Neglect the weight of the boom $A B$

Eric Mockensturm
Eric Mockensturm
Numerade Educator
02:57

Problem 33

The dimensions of a jib crane, which is manufactured by the Basick Co., are given in the figure. If the crane has a mass of $800 \mathrm{kg}$ and a center of mass at $\mathrm{G}$, and the maximum rated force at its end is $F=15 \mathrm{kN}$, determine the reactions at its bearings. The bearing at $A$ is a journal bearing and supports only a horizontal force, whereas the bearing at $B$ is a thrust bearing that supports both horizontal and vertical componcnts.

Eric Mockensturm
Eric Mockensturm
Numerade Educator
02:22

Problem 34

The dimensions of a jib crane, which is manufactured by the Basick Co., are given in the figure. The crane has a mass of $800 \mathrm{kg}$ and a center of mass at $G .$ The bearing at $A$ is a journal bearing and can support a horizontal force, whereas the bearing at $B$ is a thrust bearing that supports both horizontal and vertical components. Determine the maximum load $F$ that can be suspended from its end if the selected bearings at $A$ and $B$ can sustain a maximum resultant load of $24 \mathrm{kN}$ and $34 \mathrm{kN}$, respectively.

Eric Mockensturm
Eric Mockensturm
Numerade Educator
03:52

Problem 35

The smooth pipe rests against the opening at the points of contact $A, B,$ and $C .$ Determine the reactions at these points needed to support the force of 300 N. Neglect the pipe's thickness in the calculation.

Eric Mockensturm
Eric Mockensturm
Numerade Educator
04:09

Problem 36

The beam of negligible weight is supported horizontally by two springs. If the beam is horizontal and the springs are unstretched when the load is removed, determine the angle of tilt of the beam when the load is applicd.

Eric Mockensturm
Eric Mockensturm
Numerade Educator
02:59

Problem 37

The cantilevered jib crane is used to support the load of 780 lb. If $x=5 \mathrm{ft}$, determine the reactions at
the supports. Note that the supports are collars that allow the crane to rotate frecly about the vertical axis. The collar at $B$ supports a force in the vertical direction, whereas the one at $A$ does not.

Eric Mockensturm
Eric Mockensturm
Numerade Educator
02:42

Problem 38

The cantilevered jib crane is used to support the load of 780 lb. If the trolley $T$ can be placed anywhere between $1.5 \mathrm{ft} \leq x \leq 7.5 \mathrm{ft},$ determine the maximum magnitude of reaction at the supports $A$ and $B$. Note that the supports are collars that allow the crane to rotate freely about the vertical axis. The collar at $B$ supports a force in the vertical direction, whereas the one at $A$ does not.

Eric Mockensturm
Eric Mockensturm
Numerade Educator
03:08

Problem 39

The bar of negligible weight is supported by two springs, each having a stiffness $k=100 \mathrm{N} / \mathrm{m}$. If the springs are originally unstretched, and the force is vertical as shown, determine the angle $\theta$ the bar makes with the horizontal, when the 30 -N force is applied to the bar.

Eric Mockensturm
Eric Mockensturm
Numerade Educator
01:35

Problem 40

Determine the stiffness $k$ of each spring so that the 30 -N force causes the bar to tip $\theta=15^{\circ}$ when the force is applicd. Originally the bar is horizontal and the springs are unstretched. Neglect the weight of the bar.

Eric Mockensturm
Eric Mockensturm
Numerade Educator
06:08

Problem 41

The bulk head $A D$ is subjected to both water and soil-backfill pressures. Assuming $A D$ is "pinned" to the ground at $A,$ determine the horizontal and vertical reactions there and also the required tension in the ground anchor $B C$ necessary for equilibrium. The bulk head has a mass of $800 \mathrm{kg}$

Eric Mockensturm
Eric Mockensturm
Numerade Educator
03:46

Problem 42

The boom supports the two vertical loads. Neglect the size of the collars at $D$ and $B$ and the thickness of the
boom, and compute the horizontal and vertical components of force at the pin $A$ and the force in cable $C B .$ Set $F_{1}=800 \mathrm{N}$ and $F_{2}=350 \mathrm{N}$

Susan Hallstrom
Susan Hallstrom
Numerade Educator
01:43

Problem 43

The boom is intended to support two vertical loads, $\mathbf{F}_{1}$ and $\mathbf{F}_{2}$. If the cable $C B$ can sustain a maximum load of $1500 \mathrm{N}$ before it fails, determine the critical loads if $F_{1}=2 F_{2}$. Also, what is the magnitude of the maximum reaction at pin $A ?$

Eric Mockensturm
Eric Mockensturm
Numerade Educator
03:55

Problem 44

The $10-\mathrm{kg}$ uniform rod is pinned at end $A$. If it is also subjected to a couple moment of $50 \mathrm{N} \cdot \mathrm{m}$, determine the smallest angle $\theta$ for equilibrium. The spring is unstretched when $\theta=0,$ and has a stiffness of $k=60 \mathrm{N} / \mathrm{m}$

Eric Mockensturm
Eric Mockensturm
Numerade Educator
04:15

Problem 45

The man uses the hand truck to move material up the step. If the truck and its contents have a mass of $50 \mathrm{kg}$ with center of gravity at $G,$ determine the normal reaction on both wheels and the magnitude and direction of the minimum force required at the grip $B$ needed to lift the load.

Eric Mockensturm
Eric Mockensturm
Numerade Educator
06:06

Problem 46

Three uniform books, each having a weight $W$ and length $a,$ are stacked as shown. Determine the maximum distance $d$ that the top book can extend out from the bottom one so the stack does not topple over.

Eric Mockensturm
Eric Mockensturm
Numerade Educator
02:17

Problem 47

Determine the reactions at the pin $A$ and the tension in cord $B C$. Set $F=40 \mathrm{kN}$. Neglect the thickness of the beam.

Eric Mockensturm
Eric Mockensturm
Numerade Educator
02:30

Problem 48

If rope $B C$ will fail when the tension becomes $50 \mathrm{kN}$ determine the greatest vertical load $F$ that can be applied to the beam at $B .$ What is the magnitude of the reaction at $A$ for this loading? Neglect the thickness of the beam.

Eric Mockensturm
Eric Mockensturm
Numerade Educator
05:26

Problem 49

The rigid metal strip of negligible weight is used as part of an electromagnetic switch. If the stiffness of the springs at $A$ and $B$ is $k=5 \mathrm{N} / \mathrm{m}$ and the strip is originally horizontal when the springs are unstretched, determine the smallest force $F$ needed to close the contact gap at $C$

Eric Mockensturm
Eric Mockensturm
Numerade Educator
01:54

Problem 50

The rigid metal strip of negligible weight is used as part of an electromagnetic switch. Determine the maximum stiffness $k$ of the springs at $A$ and $B$ so that the contact at $C$ closes when the vertical force developed there is $F=0.5 \mathrm{N}$ Originally the strip is horizontal as shown.

Eric Mockensturm
Eric Mockensturm
Numerade Educator
02:29

Problem 51

The cantilever footing is used to support a wall near its edge $A$ so that it causes a uniform soil pressure under the footing. Determine the uniform distribution loads, $w_{A}$ and $w_{B},$ measured in $1 \mathrm{b} / \mathrm{ft}$ at pads $A$ and $B,$ necessary to support the wall forces of 8000 lb and 20000 lb.

Eric Mockensturm
Eric Mockensturm
Numerade Educator
04:50

Problem 52

The uniform beam has a weight $W$ and length $l$ and is supported by a pin at $A$ and a cable $B C$. Determine the horizontal and vertical components of reaction at $A$ and the tension in the cable necessary to hold the beam in the position shown.

Eric Mockensturm
Eric Mockensturm
Numerade Educator
03:26

Problem 53

A boy stands out at the end of the diving board, which is supported by two springs $A$ and $B$, each having a stiffness of $k=15 \mathrm{kN} / \mathrm{m} .$ In the position shown the board is horizontal. If the boy has a mass of $40 \mathrm{kg}$, determine the angle of tilt which the board makes with the horizontal after he jumps off. Neglect the weight of the board and assume it is rigid.

Eric Mockensturm
Eric Mockensturm
Numerade Educator
07:44

Problem 54

The 30 -N uniform rod has a length of $l=1 \mathrm{m}$ If $s=1.5 \mathrm{m},$ determine the distance $h$ of placement at the end $A$ along the smooth wall for equilibrium.

Eric Mockensturm
Eric Mockensturm
Numerade Educator
01:41

Problem 55

The uniform rod has a length $l$ and weight $W$. It is supported at one end $A$ by a smooth wall and the other end by a cord of length $s$ which is attached to the wall as shown. Determine the placement $h$ for equilibrium.

Eric Mockensturm
Eric Mockensturm
Numerade Educator
06:09

Problem 56

The uniform rod of length $L$ and weight $W$ is supported on the smooth planes. Determine its position $\theta$ for equilibrium. Neglect the thickness of the rod.

Eric Mockensturm
Eric Mockensturm
Numerade Educator
03:41

Problem 57

The beam is subjected to the two concentrated loads. Assuming that the foundation exerts a linearly varying load distribution on its bottom, determine the load intensities $w_{1}$ and $w_{2}$ for equilibrium if $P=500$ 1b and $L=12 \mathrm{ft}$

Eric Mockensturm
Eric Mockensturm
Numerade Educator
00:48

Problem 58

The beam is subjected to the two concentrated loads. Assuming that the foundation exerts a linearly varying load distribution on its bottom, determine the load intensities $w_{1}$ and $w_{2}$ for equilibrium in terms of the parameters shown.

Eric Mockensturm
Eric Mockensturm
Numerade Educator
06:16

Problem 59

The rod supports a weight of 200 lb and is pinned at its end $A$. If it is also subjected to a couple moment of $100 \mathrm{lb} \cdot \mathrm{ft},$ determine the angle $\theta$ for equilibrium. The spring has an unstretched length of $2 \mathrm{ft}$ and a stiffness of $k=50 \mathrm{lb} / \mathrm{ft}$

Eric Mockensturm
Eric Mockensturm
Numerade Educator
04:57

Problem 60

Determine the distance $d$ for placement of the load $\mathbf{P}$ for equilibrium of the smooth bar in the position $\theta$ as shown. Neglect the weight of the bar.

Eric Mockensturm
Eric Mockensturm
Numerade Educator
01:56

Problem 61

If $d=1 \mathrm{m},$ and $\theta=30^{\circ},$ determine the normal reaction at the smooth supports and the required distance $a$ for the placement of the roller if $P=600$ N. Neglect the weight of the bar.

Eric Mockensturm
Eric Mockensturm
Numerade Educator
03:15

Problem 62

The uniform load has a mass of $600 \mathrm{kg}$ and is lifted using a uniform 30 -kg strongback beam $B A C$ and four ropes as shown. Determine the tension in each rope and the force that must be applied at $A$

Eric Mockensturm
Eric Mockensturm
Numerade Educator
04:48

Problem 63

Due to an unequal distribution of fuel in the wing tanks, the centers of gravity for the airplane fuselage $A$ and wings $B$ and $C$ are located as shown. If these components have weights $W_{A}=45000 \mathrm{lb}, \quad W_{B}=8000 \mathrm{lb}, \quad$ and
$W_{C}=6000 \mathrm{lb},$ determine the normal reactions of the wheels $D, E,$ and $F$ on the ground.

Eric Mockensturm
Eric Mockensturm
Numerade Educator
03:00

Problem 64

Determine the components of reaction at the fixed support $A .$ The $400 \mathrm{N}, 500 \mathrm{N},$ and $600 \mathrm{N}$ forces are parallel to the $x, y,$ and $z$ axes, respectively.

Eric Mockensturm
Eric Mockensturm
Numerade Educator
02:49

Problem 65

The 50 -lb mulching machine has a center of gravity at $G$. Determine the vertical reactions at the wheels $C$ and $B$ and the smooth contact point $A$

Eric Mockensturm
Eric Mockensturm
Numerade Educator
04:11

Problem 66

The smooth uniform rod $A B$ is supported by a balland-socket joint at $A$, the wall at $B$, and cable $B C$. Determine the components of reaction at $A,$ the tension in the cable, and the normal reaction at $B$ if the rod has a mass of $20 \mathrm{kg}$

Eric Mockensturm
Eric Mockensturm
Numerade Educator
02:49

Problem 67

The uniform concrete slab has a mass of $2400 \mathrm{kg}$ Determine the tension in each of the three parallel supporting cables when the slab is held in the horizontal plane as shown.

Eric Mockensturm
Eric Mockensturm
Numerade Educator
03:46

Problem 68

The $100-16$ door has its center of gravity at $G$ Determine the components of reaction at hinges $A$ and $B$ if hinge $B$ resists only forces in the $x$ and $y$ directions and $A$ resists forces in the $x, y, z$ directions.

Eric Mockensturm
Eric Mockensturm
Numerade Educator
04:35

Problem 69

Determine the tension in each cable and the components of reaction at $D$ needed to support the load.

Eric Mockensturm
Eric Mockensturm
Numerade Educator
06:02

Problem 70

The stiff-leg derrick uscd on ships is supported by a ball-and-socket joint at $D$ and two cables $B A$ and $B C$. The cables are attached to a smooth collar ring at $B,$ which allows rotation of the derrick about $z$ axis. If the derrick supports a crate having a mass of $200 \mathrm{kg}$, determine the tension in the cables and the $x, y, z$ components of reaction at $D$

Eric Mockensturm
Eric Mockensturm
Numerade Educator
04:23

Problem 71

Determine the components of reaction at the balland-socket joint $A$ and the tension in each cable necessary for equilibrium of the rod.

Eric Mockensturm
Eric Mockensturm
Numerade Educator
05:51

Problem 72

Determine the components of reaction at the balland-socket joint $A$ and the tension in the supporting cables $D B$ and $D C$

Eric Mockensturm
Eric Mockensturm
Numerade Educator
04:24

Problem 73

The bent rod is supported at $A, B,$ and $C$ by smooth journal bearings. Determine the components of reaction at the bearings if the rod is subjected to the force $F=800 \mathrm{N}$ The bearings are in proper alignment and exert only force reactions on the rod.

Eric Mockensturm
Eric Mockensturm
Numerade Educator
01:56

Problem 74

The bent rod is supported at $A, B,$ and $C$ by smooth journal bearings. Determine the magnitude of $\mathbf{F}$ which will cause the positive $x$ component of reaction at the bearing $C$ to be $C_{x}=50$ N. The bearings are in proper alignment and exert only force reactions on the rod.

Eric Mockensturm
Eric Mockensturm
Numerade Educator
04:45

Problem 75

Member $A B$ is supported by a cable $B C$ and at $A$ by a square rod which fits loosely through the square hole in the collar fixed to the member as shown. Determine the components of reaction at $A$ and the tension in the cable needed to hold the rod in equilibrium.

Eric Mockensturm
Eric Mockensturm
Numerade Educator
04:28

Problem 76

The member is supported by a pin at $A$ and cable $B C .$ Determine the components of reaction at these supports if the cylinder has a mass of $40 \mathrm{kg}$

Eric Mockensturm
Eric Mockensturm
Numerade Educator
07:47

Problem 77

The member is supported by a square rod which fits loosely through the smooth square hole of the attached collar at $A$ and by a roller at $B$. Determine the components of reaction at these supports when the member is subjected to the loading shown.

Eric Mockensturm
Eric Mockensturm
Numerade Educator
04:17

Problem 78

The bent rod is supported at $A, B,$ and $C$ by smooth journal bearings. Compute the $x, y, z$ components of reaction at the bearings if the rod is subjected to forces $F_{1}=300$ lb and $F_{2}=250 \mathrm{lb} . \mathbf{F}_{1}$ lies in the $y-z$ plane. The bearings are in proper alignment and exert only force reactions on the rod.

Eric Mockensturm
Eric Mockensturm
Numerade Educator
02:23

Problem 79

The bent rod is supported at $A, B,$ and $C$ by smooth journal bearings. Determine the magnitude of $\mathbf{F}_{2}$ which will cause the reaction $\mathbf{C}_{y}$ at the bearing $C$ to be equal to zero. The bearings are in proper alignment and exert only force reactions on the rod. Set $F_{1}=300 \mathrm{lb}$

Eric Mockensturm
Eric Mockensturm
Numerade Educator
09:02

Problem 80

The bar $A B$ is supported by two smooth collars. At $A$ the connection is with a ball-and-socket joint and at $B$ it is a rigid attachment. If a 50 -lb load is applicd to the bar, determine the $x, y, z$ components of reaction at $A$ and $B$

Eric Mockensturm
Eric Mockensturm
Numerade Educator
07:46

Problem 81

The rod has a weight of $6 \mathrm{lb} / \mathrm{ft}$. If it is supported by a ball-and-socket joint at $C$ and a journal bearing at $D$ determine the $x, y, z$ components of reaction at these supports and the moment $M$ that must be applied along the axis of the rod to hold it in the position shown.

Eric Mockensturm
Eric Mockensturm
Numerade Educator
04:03

Problem 82

The sign has a mass of $100 \mathrm{kg}$ with center of mass at $G .$ Determine the $x, y, z$ components of reaction at the ball-and-socket joint $A$ and the tension in wires $B C$ and $B D$

Eric Mockensturm
Eric Mockensturm
Numerade Educator
06:59

Problem 83

Both pulleys are fixed to the shaft and as the shaft turns with constant angular velocity, the power of pulley $A$ is transmitted to pulley $B$. Determine the horizontal tension $\mathbf{T}$ in the belt on pulley $B$ and the $x, y, z$ components of reaction at the journal bearing $C$ and thrust bearing $D$ if $\theta=0^{\circ} .$ The bearings are in proper alignment and exert only force reactions on the shaft.

Eric Mockensturm
Eric Mockensturm
Numerade Educator
06:59

Problem 84

Both pulleys are fixed to the shaft and as the shaft turns with constant angular velocity, the power of pulley $A$ is transmitted to pulley $B$. Determine the horizontal tension $\mathbf{T}$ in the belt on pulley $B$ and the $x, y, z$ components of reaction at the journal bearing $C$ and thrust bearing $D$ if $\theta=45^{\circ} .$ The bearings are in proper alignment and exert only force reactions on the shaft.

Eric Mockensturm
Eric Mockensturm
Numerade Educator
03:22

Problem 85

Member $A B$ is supported by a cable $B C$ and at $A$ by a square rod which fits loosely through the square hole at the end joint of the member as shown. Determine the components of reaction at $A$ and the tension in the cable needed to hold the 800 -lb cylinder in equilibrium.

Eric Mockensturm
Eric Mockensturm
Numerade Educator