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23 Nov 2019

A block (mass = 2.4 kg) is hanging from a massless cord that iswrapped around a pulley (moment of inertia = 2.0 10-3 kg · m2), asthe drawing shows. Initially the pulley is prevented from rotatingand the block is stationary. Then, the pulley is allowed to rotateas the block falls. The cord does not slip relative to the pulleyas the block falls. Assume that the radius of the cord around thepulley remains constant at a value of 0.044 m during the block'sdescent. Find the angular acceleration of the pulley and thetension in the cord.
? rad/s2
? N

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Reid Wolff
Reid WolffLv2
10 Jan 2019
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Related textbook solutions

Physics: Principles with Applications
7th Edition, 2013
Giancoli
ISBN: 9780321625922

Related questions

A block (mass = 1.3 kg) is hanging from a massless cord that is wrapped around a pulley (moment of inertia = 1.7 x 10-3 kg·m2), as the figure shows. Initially the pulley is prevented from rotating and the block is stationary. Then, the pulley is allowed to rotate as the block falls. The cord does not slip relative to the pulley as the block falls. Assume that the radius of the cord around the pulley remains constant at a value of 0.032 m during the block's descent. Find (a) the angular acceleration of the pulley and (b) the tension in the cord. see textbook for picture.

In the figure below, one block has mass M = 500.00 g, the other hasmass m = 460.00 g, and the pulley, which is mounted in horizontalfrictionless bearings, has a radius of 5.0000 cm. When releasedfrom rest, the more massive block falls 85.600 cm in 2.5000 s(without the cord slipping on the pulley, do not treat the pulleyas a uniform disk). (Give your answers to five significant figures.Use these rounded values in subsequent calculations.)

(a) What is the magnitude of the block's acceleration?
m/s2

(b) What is the tension in the part of the cord that supports theheavier block?
N

(c) What is the tension in the part of the cord that supports thelighter block?
N

(d) What is the magnitude of the pulley's angularacceleration?
rad/s2

(e) What is its rotational inertia? (Give this answer to threesignificant figures.)
kg · m2

1) You accelerate your car from rest at a constant rate downastraight road, and reach 22.0 m/s in 117 s. The tires on yourcarhave radius 0.320 m. Assuming the tires rotate inacounterclockwise direction, what is the angular acceleration ofthetires?

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3) A pulley is uniform disk of mass 2.8 kg and radius0.24 m,which is free to rotate without friction. The mass of theblock is1.2 kg. Downward and clockwise are negative directions.(a) What isthe angular acceleration of the pulley? (b) What is theaccelerationof the falling block?
4) A pulley Ca is a uniform disk of mass 2.40 kg andradius0.220 m. The block applies a contant torque to the pulley,which isfree to rotate without friction, resulting in anangularacceleration of magnitude 0.180 rad/s2 for the pulley. Asthe blockfalls 0.500 m, how much work does it do on thepulley?

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