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Questions  

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 :

a
3.85 kg m2
b
4.85 kg m2
c
5.85 kg m2
d
2.85 kg m2

detailed solution

Correct option is B

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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