Home Physics Center of Mass General A block of mass M has a circular cut with a …
Physics Center of Mass General MCQ (Single Correct)

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 coordinate system fixed to the table. A point mass m is released from rest at the topmost point of the path as shown and its slides down. When the mass loses contact with the block, its position is x and the velocity is v. At the instant, which of the following options is/are correct ?

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

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The correct answer is:
CHECK THE SOLUTION.

(a, b)

If speed of point mass is v, then using conservation of linear momentum V =

mgR =

mgR =

X M =

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