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Accelerate JEE 2020: Centre of Mass and Rigid Body Dynamics Class 4 (31.08.2019)

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Question 1

In the figure shown ABC is a uniform wire. If centre of mass of wire lies vertically below point A, then is close to

Question 2

In a two particle system with masses m and 2m, if the first particle with mass m is pushed towards the centre of mass through d/2 distance, how much second particle should be moved so as to keep the center of mass at the same distance ?

Question 3

A mass of 1 kg moving with speed of 4 m/s hits another mass 2 kg moving in the same direction with a speed of 2 m/s. Kinetic energy of the center of mass will be

Question 4

If there are two balls such that first ball (5 kg) is stationary and at the origin. Motion of second ball (7 kg) is represented by x = 3t2 + 8. Find the velocity (in m/s) of the center of mass when separation between the balls is 20 m.

Question 5

The coordinates of the positions of particles of mass are and respectively. The position of the centre of mass of the system would be
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Dec 2JEE & BITSAT