JEE MAIN - Physics (2022 - 28th June Evening Shift - No. 27)

A uniform disc with mass M = 4 kg and radius R = 10 cm is mounted on a fixed horizontal axle as shown in figure. A block with mass m = 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 = 10 ms$$-$$2)

JEE Main 2022 (Online) 28th June Evening Shift Physics - Rotational Motion Question 76 English

Answer
10

Explanation

JEE Main 2022 (Online) 28th June Evening Shift Physics - Rotational Motion Question 76 English Explanation

20 $$-$$ T = 2a

and 0.1 $$\times$$ T = 0.02 $$\alpha$$ = $${{0.02a} \over {0.1}}$$

T = 2a

$$\Rightarrow$$ a = 5 m/sec2

So T = 10 N

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