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Physics System of Particles Rotational Motion Mix MCQ (Single Correct)

A uniform disc of mass m and radius r and a point mass m are arranged as shown in the figure. The acceleration of point mass is: (Assume there is no slipping between pulley and thread and the disc can rotate smoothly about a fixed horizontal axis passing through its centre and perpendicular to its plane)

A
B
C
D
none of these

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The correct answer is:
C

There is no slipping between pulley and thread.

So, (a = α r) ..........(i)

For point mass :

mg – T = ma ...........(ii)

Equation of torque for disc

Tr = Ι . α

Tr =

T = = ...........(iii)

mg – = ma

mg =

a = .

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