Home Physics System of Particles Rotational Motion Mix A uniform disc of mass 2kg and radius 1m is …
Physics System of Particles Rotational Motion Mix Matrix Match Questions
Published on: September 11, 2026

A uniform disc of mass 2kg and radius 1m is mounted on an axle supported on fixed frictionless bearings. A light chord is wrapped around the rim of the disc and mass of 1kg is tied to the free end. If it is released from rest-

Correct Matrix Matching

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Text Solution

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The correct answer is:
(i) By FBD of disc TR ; (ii) By eq; (i) and ; (ii) a 

(a, b, c, d)

By FBD of particle

mg – T = ma

10–T = a ... (i)

By FBD of disc

TR = I ∝ = L ⇒ T=

T = Ma/2 = a …. (ii)

By eq. (i) and (ii)

a = 5 m/s 2 and T = 5N and ∝ = a/R = 5 rad/s 2 For angular displacement of disc :

θ = ω t + 1/2 ∝ t

2

Work done by torque

=

Δ K.E. = Δ w = 200 J

K 2 – K 1 = 200 J

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