Question

In an Atwood's machine, one block has a mass of 860.0 g, and the other a mass of 1020.0 g. The pulley, which is mounted in horizontal frictionless bearings, has a radius of 4.50 cm. When released from rest, the heavier block is observed to fall 62.2 cm in 2.55 s (without the string slipping on the pulley).

What is the magnitude of the acceleration of the 860.0-g block?  

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What is the magnitude of the acceleration of the 1020.0-g block?

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What is the magnitude of the tension in the part of the cord that supports the 860.0-g block?

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What is the magnitude of the tension in the part of the cord that supports the 1020.0-g block?

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What is the magnitude of the angular acceleration of the pulley?

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What is the rotational inertia of the pulley?

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What is the change in the potential energy of the system after 2.55 s?

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Answer 1

Distace fall by block d= 62.2 cm = 0.622 m

Time taken to fall t = 2.55 s

Let acceleration of blocks has magnitude a

Answer for part A and B will be same

Part - C

Ligher block will move upwards with acceleration a

So tension in string is given as

Part-D

Heavier block

Part-E

Angular acceleration