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Accelerate JEE 2020: Centre of Mass and Rigid Body Dynamics Class 5 (04.09.2019)

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Question 1

A 500 kg boat is 9 m long and is floating without motion on still water. A man of mass 100 kg is at one end and if he runs to the other end of the boat and stops, the displacement of the boat is

Question 2

There identical spheres of mass m each are placed at the corners of an equilateral triangle of side 2 m. Taking one of the corner as the origin, the position vector of the centre of mass is

Question 3

Two particles A and B which are initially at rest move towards each other under the mutual force of attraction. At the instant when the speed of A is v and the speed of B is 2v. The speed of the centre of mass of the system is -

Question 4

The velocities of three particles of masses 20g, 30g and 50 g are

respectively. The velocity of the centre of mass of the three particles is

Question 5

A man weighing 80 kg is standing on a trolley weighing 320 kg. The trolley is resting on frictionless horizontal rails. If the man starts walking on the trolley along the rails at speed 1 m/s. Then after 4 s, his displacement relative to ground will be

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Sep 4JEE & BITSAT