A block of mass m 1.3 kg is attached to a string that is wrapped around the circ

Question

A block of mass m 1.3 kg is attached to a string that is wrapped around the circumference of a wheel of radius R-8.1 cm. The wheel rotates freely about its axis and the string wraps around its circumference without slipping Initially the wheel rotates with an angular speed w, causing the block to rise with a linear speed v 0.33 m/s (Figure 1) ? Part A Find the moment of inertia of the wheel if the block rises to a height of h 8.3 cm before momeritarily coming to rest. Express your answer using two significant figures Figure 1 of 1 kg m2 Submit Next Provide Feedback Initial Final

Explanation / Answer

by using the conservation of enegry,

1/2*m*v^2 + 1/2*I*w^2 = m*g*h

1/2*m*v^2 + 1/2*I*(V/R)^2 = m*g*h

1/2*1.3*0.33^2 + 1/2*I*(0.33/0.081)^2 = 1.3*9.8*0.083

===> I=0.119 kg.m^2

moment of inertia, I=0.119 kg.m^2

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