Home Maths JEE - Advanced Previous Year Paper JEE-Advanced-2017-Paper-1 A block of mass M has a circular cut with a …
Maths JEE - Advanced Previous Year Paper JEE-Advanced-2017-Paper-1 Single Correct MCQ
Published on: August 13, 2026

A block of mass M has a circular cut with a frictionless surface as shown. The block rests on the horizontal frictionless surface of a fixed table. Initially the right edge of the block is at x = 0, in a co-ordinate system fixed to the table. A point mass m is released from rest at the topmost point of the path as shown and it slides down. When the mass loses contact with the block, its position is x and the velocity is v. At that instant, which of the following options is/are correct?

A
The x component of displacement of the center of mass of the block M is :
B
The position of the point mass is :
C
The velocity of the point mass m is :
D
The velocity of the block M is: V =

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Text Solution

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The correct answer is:
CHECK THE SOLUTION.

(a, c)

of the block & point mass system = 0

m (x + R) + mx = 0

where x is displacement of the block.

From conservation of momentum and mechanical energy of the combined system

0 = mv - MV

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