A cord is wrapped around the inner hub of a wheel and pulled horizontally with a force of 200 N. The wheel has a mass of 50 kg and a radius of gyration of 70 mm. Knowing µ, = 0.20 and µ = 0.15, detemine the acceleration of G and the angular acceleration of the wheel.

A cord is wrapped around the inner hub of a wheel and pulled horizontally with a force of 200 N. The wheel has a mass of 50 kg and a radius of gyration of 70 mm. Knowing µ, = 0.20 and µ = 0.15, detemine the acceleration of G and the angular acceleration of the wheel.

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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Question

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SOLUTION:
100 mm 60 mm
• Draw the free-body-equation for the
wheel, expressing the equivalence of the
extemal and effective forces.
200 N
• Assuming rolling without slipping and
therefore, related linear and angular
accelerations, solve the scalar equations
for the acceleration and the normal and
A cord is wrapped around the inner
hub of a wheel and pulled
horizontally with a force of 200 N.
The wheel has a mass of 50 kg and a
radius of gyration of 70 mm.
Knowing µ, = 0.20 and µ, = 0.15,
determine the acceleration of G and
tangential reactions at the ground.
Compare the required tangential reaction
to the maximum possible friction force.
• If slipping occurs, calculate the kinetic
friction force and then solve the scalar
equations for the linear and angular
accelerations.
the angular acceleration of the wheel.
Answer: a = 2.53m/sec2 and a = 18.94 rad/sec²
la
ma
2000 N
0.100 m
EDIFIC
0.010 m

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