The Physical Universe
15th Edition
ISBN: 9780073513928
Author: Konrad Krauskopf, Arthur Beiser
Publisher: MCGRAW-HILL HIGHER EDUCATION
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Chapter 3, Problem 29E
To determine
Which ball will reach first at the bottom and what is the reason behind it.
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A hanging weight, with a mass of m₁ = 0.365 kg, is attached by a rope to a block with mass m₂ 0.835 kg as shown in the figure below. The rope goes over a pulley with a mass of M = 0.350 kg. The pulley can be modeled as a hollow cylinder with an inner radius of R₁ = 0.0200 m, and
an outer radius of R2 = 0.0300 m; the mass of the spokes is negligible. As the weight falls, the block slides on the table, and the coefficient of kinetic friction between the block and the table is μk = 0.250. At the instant shown, the block is moving with a velocity of v; = 0.820 m/s toward
the pulley. Assume that the pulley is free to spin without friction, that the rope does not stretch and does not slip on the pulley, and that the mass of the rope is negligible.
mq
R₂ R₁
mi
(a) Using energy methods, find the speed of the block (in m/s) after it has moved a distance of 0.700 m away from the initial position shown.
m/s
(b) What is the angular speed of the pulley (in rad/s) after the block has moved this…
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