Problem

A small clamp of mass $m_{B}$ is attached at $B$ …

Question

Answered step-by-step

Problem 113 Easy Difficulty

The center of gravity $G$ of a 1.5 -kg unbalanced tracking wheel is located at a distance $r=18 \mathrm{mm}$ from its geometric center $B$. The radius of the wheel is $R=60 \mathrm{mm}$ and its centroidal radius of gyration is $44 \mathrm{mm}$. At the instant shown, the center $B$ of the wheel has a velocity of $0.35 \mathrm{m} / \mathrm{s}$ and an acceleration of $1.2 \mathrm{m} / \mathrm{s}^{2},$ both directed to the left. Knowing that the wheel rolls without sliding and neglecting the mass of the driving yoke $A B,$ determine the horizontal force $\mathbf{P}$ applied to the yoke.

Video Answer

Solved by verified expert

Textbook Answer

Official textbook answer

Video by Khoobchandra Agrawal

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 16

Plane Motion of Rigid Bodies: Forces and Accelerations

Section 2

Constrained Plane Motion

Discussion

You must be signed in to discuss.

Top Physics 101 Mechanics Educators

Watch More Solved Questions in Chapter 16

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 110

Problem 111

Problem 112

Problem 113

Problem 114

Problem 115

Problem 116

Problem 117

Problem 118

Problem 119

Problem 120

Problem 121

Problem 122

Problem 123

Problem 124

Problem 125

Problem 126

Problem 127

Problem 128

Problem 129

Problem 130

Problem 131

Problem 132

Problem 133

Problem 134

Problem 135

Problem 136

Problem 137

Problem 138

Problem 139

Problem 140

Problem 141

Problem 142

Problem 143

Problem 144

Problem 145

Problem 146

Problem 147

Problem 148

Problem 149

Problem 150

Problem 151

Problem 152

Video Transcript

Hello friends as surrender figure there is unbalanced cracking bill off months. 1.5 kg on the radios up 60 millimeter having geometrical center and center off months. 18 millimeter away so that distance between the metrical center and center off mass or center of gravity will be 18. Limited radio central radius aberration is 40 form limited at that explain. So the center off will be having the velocity at given positions. Velocity off the is while 35 meter per second towards left on acceleration is also towards slept 1.2 m per second squared. We have to calculate the value of peace for you're rolling. Wish it first we will analyze the free body diagram off it. Mhm. Mhm. This is the B point geometrical center. This is the center off months. I hate having acceleration be towards left center Having the acceleration x Andi, if I value off by is R A B upon art and that off exit A B plus our Omega Chi Square acceleration, it can be defined at so we can write acceleration. It will be Evie plus our Omega Square towards left, unless are a B upon Capitola towards right. Sorry. Vertically apart. Now we have to throw the free body diagram. Maybe this is or gentle four street here the weight off the wheel will act. This will be normal reaction. And here it will be friction. Oh, it will be am a bar X. I am ever but calculating moment Top force about see point She is contact point with or gentle surface toe be into art Minus for me going toe are I am a bite into our I m a X and to our plus I into Alfa substituting the value Yeah, bait will be mgr I am a bye bye is our upon capital are into acceleration off the into r plus m h m Every palace our Amigas square are but as M K square. So this can be written as in the right hand side we can write mask Maybe you can take over Mars into every You will get r squared upon Capitola but smaller is square by art Bless Emma Here Omega will be the way they are unsolved ing it. This can be written. It's it's called two Can Britain m g are upon our m A. V is this a question to be one. Substituting the value mark off the really is given 1.5 g is 9.81 It's more art 18 limited, that is 180.0 bonnet capital are 60.6 mass 1.5 acceleration off the acceleration off. These given 1.2 small are quite zero bonnet in this radius of violation. 44 million to the point. Jiro Poor 40 square upon choir 2060 square Much 1.5 point 018 Why do you know 60 is square Where the city off These given Why do you fight on solving in while you were? Probably get 8.2 60 Newton towards left. That is the answer for this problem. Thanks for watching it.

Get More Help with this Textbook

Ferdinand P. Beer, E. Russell Johnston, Jr., David F. 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

A small clamp of mass $m_{B}$ is attached at $B$ …

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

Related Courses

Vector Mechanics for Engineers: Statics and Dynamics

Related Topics

Discussion

Top Physics 101 Mechanics Educators

Andy Chen

Liev Birman

Marshall Styczinski

Farnaz Mohseni

Physics 101 Mechanics Courses

Recommended Videos

Watch More Solved Questions in Chapter 16

Video Transcript

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

Vector Mechanics for Engineers: Statics and Dynamics

Andy Chen

Liev Birman

Marshall Styczinski

Farnaz Mohseni

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

Vector Mechanics for Engineers: Statics and Dynamics

Andy Chen

Liev Birman

Marshall Styczinski

Farnaz Mohseni

Ferdinand P. Beer, E. Russell Johnston, Jr., David F. Mazurek Vector Mechanics for Engineers: Statics and Dynamics

Andy Chen

Liev Birman

Marshall Styczinski

Farnaz Mohseni

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

Vector Mechanics for Engineers: Statics and Dynamics