Q.

A mass m= 1 kg hangs from the wheel of radius R = 1m When released from rest the mass falls through a height h = 2 m in 1 second. The moment of inertia of the wheel is (g = 10 m/s2).

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a

3.6 kg m2

b

2.6 kg m2

c

3.0 kg m2

d

1.5 kg m2

answer is C.

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Detailed Solution

The acceleration of mass m is 
a=mgm+IR2=g1+ImR2        Here , h=12at2
 a=4m/s2 I=ga1mR2=1.5kgm2

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A mass m= 1 kg hangs from the wheel of radius R = 1m When released from rest the mass falls through a height h = 2 m in 1 second. The moment of inertia of the wheel is (g = 10 m/s2).