In an Atwood\'s machine, one block has a mass of 714.0 g, and the other a mass o

Question

In an Atwood's machine, one block has a mass of 714.0 g, and the other a mass of 874.0 g. The pulley, which is mounted in horizontal frictionless bearings, has a radius of 9.30 cm. When released from rest, the heavier block is observed to fall 63.8 cm in 1.58 s (without the string slipping on the pulley). What is the magnitude of the acceleration of the 714.0-g block? Sulonit AnswerTries 0/10 What is the magnitude of the acceleration of the 874.0-g block? Submit AnswerTries 0/10 What is the magnitude of the tension in the part of the cord that supports the 714.0-g block? Submit AnwerTries 0/10 What is the magnitude of the tension in the part of the cord that supports the 874.0-g block? Submit AnswerTries 0/10 What is the magnitude of the angular acceleration of the pulley? Submit Answer Tries 0/10 What is the rotational inertia of the pulley? Submit Answer Tries 0/10 What is the change in the potential energy of the system after 1.58 s? Submit Answer Tries 0/10

Explanation / Answer

a] acceleration a = 2s/t^2 = 2*0.638/1.58^2 = 0.511 m/s^2

b] magnitude will be same because of string constraint, a = 0.511 m/s^2

c] T1= ma+mg = 0.714*(9.8+0.511) = 7.362 N

d] T2 = Mg- Ma = 0.874*(9.8-0.511) = 8.118 N

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