A ladder of weight W stands on a rough floor and rests against a frictionless wall, illustrated above. It is only stable if the angle between the ladder and the ground is greater than theta (theta > 60 degree). a. Find the coefficient of static friction between the floor and the ladder. b. A child of weight 4W places the ladder against the wall at angle 70 degree(theta = 70 degree). Calculate how far up the ladder it is safe for the child to climb.

An Introduction to Physical Science
14th Edition
ISBN:9781305079137
Author:James Shipman, Jerry D. Wilson, Charles A. Higgins, Omar Torres
Publisher:James Shipman, Jerry D. Wilson, Charles A. Higgins, Omar Torres
Chapter1: Measurement
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A ladder of weight W stands on a rough floor and rests against a frictionless wall, illustrated above. It is only stable if the angle between the ladder and the ground is greater than theta (theta > 60 degree).

a. Find the coefficient of static friction between the floor and the ladder.

b. A child of weight 4W places the ladder against the wall at angle 70 degree(theta = 70 degree). Calculate how far up the ladder it is safe for the child to climb.

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Transcribed Image Text:1 2 3 4 Ꮎ 5 6 W 7
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If the child climbs too high, then the ladder will slide along the ground.

c. In this situation, is work done by the friction force?

d. Is work done by any force acting when a ball rolls along a horizontal surface?

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