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A wheel and an axle is made to rotate about a horizontal axis with the help of a body of mass 5 kg attached to a string wound around the axle. The radius of the axle is l0 cm. The body falls vertically through 5 m in 10 s starting from rest. The moment of inertia of the wheel and axle is :

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a

3.85 kg m2

b

4.85 kg m2

c

5.85 kg m2

d

2.85 kg m2

answer is B.

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Detailed Solution

a0=5g5+IR2From s=ut+12at2a=2st2=2×5102=110So, 110=5g5+I(0.1)2⇒5+I(0.1)2=50gSo, I = 485 x 10-2 = 4.85kg-m2

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A wheel and an axle is made to rotate about a horizontal axis with the help of a body of mass 5 kg attached to a string wound around the axle. The radius of the axle is l0 cm. The body falls vertically through 5 m in 10 s starting from rest. The moment of inertia of the wheel and axle is :