Two blocks, one of 50 g and the other of 46 g, are connected by a string and hun

Question

Two blocks, one of 50 g and the other of 46 g, are connected by a string and hung over a frictionless pulley which has a radius of 5 cm. When released from rest, the heavier block is observed to fall 75 cm in 5 s without the string slipping on the pulley. What is the moment of inertia of the pulley? Two blocks, one of 50 g and the other of 46 g, are connected by a string and hung over a frictionless pulley which has a radius of 5 cm. When released from rest, the heavier block is observed to fall 75 cm in 5 s without the string slipping on the pulley. What is the moment of inertia of the pulley? Two blocks, one of 50 g and the other of 46 g, are connected by a string and hung over a frictionless pulley which has a radius of 5 cm. When released from rest, the heavier block is observed to fall 75 cm in 5 s without the string slipping on the pulley. What is the moment of inertia of the pulley?

Explanation / Answer

S = 75 cm = 0.75 m

t = 5 s

S = 0.5 a t^2

a = 2 S / t^2 = 2 * 0.75 / 5^2 = 0.06 m/s^2

a = (m2 - m1) g / ( m1 + m2 + i / (r^2) )

0.06 = (0.05 - 0.046) * 9.81 / ( 0.05 + 0.046 + (i/0.05^2) )

( 0.05 + 0.046 + (i/0.05^2) ) = (0.05 - 0.046) * 9.81 / 0.06

i = 0.001395 kgm^2

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moment of inertia of the pulley = 0.001395 kgm^2

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