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A $3.5-\mathrm{kg}$ slender rod $A B$ and a $2-\mathrm{kg}$ slender rod $B C$ are connected by a pin at $B$ and by the cord $A C .$ The assembly can rotate in a vertical plane under the combined effect of gravity and a couple $\mathbf{M}$ applied to rod $B C$. Knowing that in the position shown the angular velocity of the assembly is zero and the tension in cord $A C$ is equal to $25 \mathrm{N}$, determine $(a)$ the angular acceleration of the assembly, $(b)$ the magnitude of the couple $\mathbf{M}$

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Physics 101 Mechanics

Chapter 16

Plane Motion of Rigid Bodies: Forces and Accelerations

Section 2

Constrained Plane Motion

Motion Along a Straight Line

Cornell University

University of Michigan - Ann Arbor

Hope College

University of Winnipeg

Lectures

04:34

In physics, kinematics is the description of the motion of objects and systems in the frame of reference defined by the observer. An observer has to be specified, otherwise the term is meaningless.

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In mathematics, a position is a point in space. The concept is abstracted from physical space, in which a position is a location given by the coordinates of a point. In physics, the term is used to describe a family of quantities which describe the configuration of a physical system in a given state. The term is also used to describe the set of possible configurations of a system.

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under the agreement as soon in the figure there is a 3.5 KT letter or a V. The marks off letter Lord Davies 3.5 Katie on its elected is 800 millimeters and little B c off. Must be kidding. The assembly can repeat in a vertical plane under the combined effect of gravity, and couple applied to the road visit. Given that in positions only figured where the city off assembly zero so at initial position are given position. Vetter City off the assembly's zero and tension in the court 80. It complete five nutrients. Calculate first part angular acceleration off assembly and magnitude of couple and first part angular acceleration. First, we will find moment off ownership the moment often accept that our A B about its geometrical center are sent droid one by 12 Product off Mars off heavy in tow. Let off a V. Substituting developed mass is 3.5. If the length is 0.8 m, it would be while 18 double six seven. Give me to the square. No, Let us see your free body diagram off the road 80. Okay, a city off brought baby. This is a point. This is the is attends to the card. Easy it, having that attention be a C on its value is given 25 minutes, and it's making and the C 45 This is the center off mask. Here it's a bit MD will act having a reaction at three point. A long haul genter and vertical direction. It's been routine, and it'll be acceleration long this direction. No, no, it doesn't start celebrating moment off. Couple about the three point taking clockwise to be positive. He waved it off from five in 2.8 minus you. Point fight 9.81 until 5 ft has felt. Oh, I A B and toe alfa. So from here, value off Alphas can find 15 and toe point it 14 and 29.81 upon I A B is quite 18 667 So angular acceleration off the road, maybe you will get it is negative means that is, rotating in counter plug by direction. Hundreds value is 9.28 93 a radiant per second squared Toby we write Al Fais 9.28938 profile direction of radiant per second squared. So this is one of the answers we have. Okay? No. They will see that kind of metrics off assembly. This is a threat. Er, got a V. This is basic. And this is the part. Yes, this is the center off much off 80 mhm. You may call it G a V. The center off must be See. You may call it GVC. So this distinct Bilby find 4 m. This will be also quite 4 m. This is while to 5 m And this would be also trying to 5 m And this is given 20 m. So from here, let off the relent on TV while three chi square get baby. Why five Meeting the spent off the UBC hard talk TV That is 0.25 m as mark acceleration off. Amazing while to five in tow. Alfa direction between this one acceleration off a B like while four in tow. Alfa along this direction moment offing herself. There are BC, about its geometrical center 1/12 off product off Mass off. Not busy and tow. Let off Easy Chi square. Most off. This is given to Katie length off the C B A major fight fight. It would be why you know, four one, 667 Hey, Jimmy. Chris Quest calculating couple about. See point. And here this debate every year did abate bc I v c and Tau Alpha on here it will be I l for Hi, Avian 12. Let us start solving it. Taking the couple in counterclockwise to be positive. Submission off EMC we will get and minus MBC and to G fine, too. Moment due to the very top pc May moment, moment Due toa acceleration off busy. I ve seen toe Alfa similarly must off a V in tow. Angular story acceleration off a V and 2.3 m. No, I A b And to help let me make a correction. Yeah, there is some correction. Let me correct it. Acceleration off a V. Here it is 20. No substituting develop. We will get the value up em and minus MBC must obviously is given. So G is 9.81 and 2.2 is going toe to acceleration off the we have options. Yeah, Why? To fight into Alfa while 041 just We are succeeding. Develop? Yeah. Employs 9.2893 while 315 and toe 9.2893 But let's I may be 0.1. Age 667 into nine points. 28 live three. So value off and we will get from here. 10.13 Newton meter and counter clockwise direction. So this is the answer off. Taken part? Uh huh. Uh huh, that's

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