A sphere of radius 0.25 m and a weight of 108 N is released with no initial velocity on the incline making an angle of 35° with the horizontal and rolls without slipping. a. Determine the minimum value of the coefficient of friction compatible with the rolling motion. b. Determine the velocity of the center of the sphere after the sphere has rolled 4 meters. c. Determine the velocity of the center of the sphere if it were to move 4 meters down a frictionless 35° incline. Note: Draw the diagram/s before formulating any equation.

A sphere of radius 0.25 m and a weight of 108 N is released with no initial velocity on the incline making an angle of 35° with the horizontal and rolls without slipping. a. Determine the minimum value of the coefficient of friction compatible with the rolling motion. b. Determine the velocity of the center of the sphere after the sphere has rolled 4 meters. c. Determine the velocity of the center of the sphere if it were to move 4 meters down a frictionless 35° incline. Note: Draw the diagram/s before formulating any equation.

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

A sphere of radius 0.25 m and a weight of 108 N is released with no initial
velocity on the incline making an angle of 35° with the horizontal and rolls without
slipping.
a. Determine the minimum value of the coefficient of friction compatible with the
rolling motion.
b. Determine the velocity of the center of the sphere after the sphere has rolled 4
meters.
c. Determine the velocity of the center of the sphere if it were to move 4 meters down
a frictionless 35º incline.
Note: Draw the diagram/s before formulating any equation.

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