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A uniform disc of mass M=4 kg and radius R=10 cm is mounted on a fixed horizontal axle. A block of mass m=2 kg hangs from a cord wrapped around the rim. During the fall (no slip, frictionless axle), the tension in the cord is ______ N. (take g=10 m/s²)

Asked in JEE Main 28th June 2nd Shift 2022 · Rotational energy and released bodies

Answer: 10

Step-by-step solution

For the disc, I=1/2 MR², so effective inertia I/(R²)=/M2=2 kg.

a=(mg)/(m+M/2)=(2(10))/(2+2)=5 m/s².

T=m(g-a)=2(10-5)=10 N.

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