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← JEE Main 2022 · 28 Jun · Shift 2
PhysicsInteger+4 / -1Question 59 of 90

JEE Main 2022 · 28 Jun · Shift 2, Physics question 59

A uniform disc with mass M=4M=4 kg and radius R=10R=10 cm is mounted on a fixed horizontal axle as shown in figure. A block with mass m=2m=2 kg hangs from a massless cord that is wrapped around the rim of the disc. During the fall of the block, the cord does not slip and there is no friction at the axle. The tension in the cord is ______ N.

(Take g=10g=10 ms−2^{-2})

A uniform disc M on a horizontal axle fixed to a wall; a cord wrapped round its rim hangs down to a block m.
Answer and worked solution

Official answer: 10

Acceleration. a=mgm+M/2=204=5a=\dfrac{mg}{m+M/2}=\dfrac{20}{4}=5 m s−2^{-2}.

Tension. T=m(g−a)=2×5=10T=m(g-a)=2\times5=10 N.

Answer: 10

Topics:Torque and rotational dynamicsConstraint motion and pulleys
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