Problem

Collar $A$ can slide freely on the semicircular r…

Question

Answered step-by-step

Problem 87 Easy Difficulty

Collar $A$ can slide freely on the semicircular rod shown. Knowing that the constant of the spring is $k$ and that the unstretched length of the spring is equal to the radius $r,$ determine the value of $u$ corresponding to equilibrium when $W=50$ Ib, $r=$ 9 in., and $k=15$ lb/in.

Video Answer

Solved by verified expert

Textbook Answer

Official textbook answer

Video by Ajay Singhal

Numerade Educator

This textbook answer is only visible when subscribed! Please subscribe to view the answer

Related Courses

Physics 101 Mechanics

Vector Mechanics for Engineers: Statics and Dynamics

Chapter 10

Method of Virtual Work

Discussion

You must be signed in to discuss.

Top Physics 101 Mechanics Educators

Christina Krawiec

Rutgers, The State University of New Jersey

Watch More Solved Questions in Chapter 10

Problem 1

Problem 2

Problem 3

Problem 4

Problem 5

Problem 6

Problem 7

Problem 8

Problem 9

Problem 10

Problem 11

Problem 12

Problem 13

Problem 14

Problem 15

Problem 16

Problem 17

Problem 18

Problem 19

Problem 20

Problem 21

Problem 22

Problem 23

Problem 24

Problem 25

Problem 26

Problem 27

Problem 28

Problem 29

Problem 30

Problem 31

Problem 32

Problem 33

Problem 34

Problem 35

Problem 36

Problem 37

Problem 38

Problem 39

Problem 40

Problem 41

Problem 42

Problem 43

Problem 44

Problem 45

Problem 46

Problem 47

Problem 48

Problem 49

Problem 50

Problem 51

Problem 52

Problem 53

Problem 54

Problem 55

Problem 56

Problem 57

Problem 58

Problem 59

Problem 60

Problem 61

Problem 62

Problem 63

Problem 64

Problem 65

Problem 66

Problem 67

Problem 68

Problem 69

Problem 70

Problem 71

Problem 72

Problem 73

Problem 74

Problem 75

Problem 76

Problem 77

Problem 78

Problem 79

Problem 80

Problem 81

Problem 82

Problem 83

Problem 84

Problem 85

Problem 86

Problem 87

Problem 88

Problem 89

Problem 90

Problem 91

Problem 92

Problem 93

Problem 94

Problem 95

Problem 96

Problem 97

Problem 98

Problem 99

Problem 100

Problem 101

Problem 102

Problem 103

Problem 104

Problem 105

Problem 106

Problem 107

Problem 108

Problem 109

Problem 110

Problem 111

Problem 112

Video Transcript

question the free body diagram of the given situation can be shown as along this. Okay, so this is the diagram for the given situation. Okay, so, no. First we need to express distance in terms of data, so we can write. That is, this distance equals two are signed to. Okay, this is angle to to to and this is angle to initial angle. And this is final angle after stretching. So now we will calculate the language in of the spring using method of section 10 point to see. So now, potential energy in the system so we can write as not initially, is equal to our and s will be equals. Two to our course, Tita. Okay, this is stretched position, and this is a stress position. So as minus has not can be bitterness to our course. Tita minus is smaller. That will be equal to R to cost two to minus one. Okay, so now we can right. Repeat equals 21 by two k s minus s not fools. Minus w y mhm. Okay, so, substituting the values we get, we p equals 21 by two k s minus is not equal to this so far, Who goes to minus one Holy square minus W Y A. And the blue Y is equal to our scientific data sign boutique. Okay, No. Okay. To determine the equilibrium of the system, Uh, the first derivative will be equals to zero. So solving it, we get minus K are square to cause Cheetah minus one, multiplied by two scientists to minus two. The blue part the blue part cause to Tita. Okay. And this will be equal to zero for the equilibrium position. So from here, we get minus care to cost two to minus one. Who sent it to minus two? W course to Tita equals to zero. So from here, after rearranging weekend, right, Who caused cheetah minus one scientific, The whereby cause to Tita equals two minus w by care. Okay, now substituting the values of the bouquet. And are we get to cost two to minus one, Manipulated by scientists to develop a course to this is a duty to mhm. Okay, equals two minus of 50 divided by 15 multiplied by nine. And that will be equals two minus zero point 370 Okay, so using the graphic calculators, we can determine the value of Twitter as 0.957 radiant, and that will be quest to 54.83 degree. Okay, so the answer for this question for the

Get More Help with this Textbook

Ferdinand Beer, Jr., E. Russell Johnston, David Mazurek

Vector Mechanics for Engineers: Statics and Dynamics

View More Answers From This Book

Find Another Textbook

Study Groups

Study with other students and unlock Numerade solutions for free.

Problem