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Class XI Physics System of Particles & Rotational Motion 1

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Question 1

Consider a two particle system with particles having masses m₁ and m₂. If the first particle is pushed towards the center of mass through a distance d, by what distance should the second particle be moved, so as to keep the centre of mass at the same position

Question 2

A circular disc of radius R is removed from a bigger disc of radius 2R such that the circumferences of the discs coincide. The center of mass of the new disc is aR from the center of the bigger disc. The value of a is

Question 3

A body A of mass M while falling vertically downwards under gravity breaks into two parts. A body B of mass
1/3 M and a body C of mass 2/3 M. The center of mass of bodies B and C taken together shifts compared to that of body A towards

Question 4

Distance of the center of mass of a solid uniform cone from its vertex is z₀. If the radius of its base is R an its height is h then z₀ is equal to

Question 5

The bob of a simple pendulum is a spherical hollow ball filled with water. A plugged hole near the bottom of the oscillation bob gets suddenly unplugged. During observation, till water is coming out, the time period of oscillation would

Question 6

A monkey of mass 20 kg rides on a 40 kg trolley moving with constant speed of 8 m/s along a horizontal track. If the monkey jumps vertically to grab the overhanging branch of a tree, the speed (in m/s) of the trolley in the horizontal direction after the monkey has jumped off is -

Question 7

A ball of mass 1kg, moving with a velocity of 0.4 m/s, collides with another stationary ball. After the collision, the first ball moves with a velocity of 0.3 m/s in a direction making an angle of 90 º with its initial direction. The momentum of second ball after collision will be (in kg-m/s) -

Question 8

Two elastic bodies P and Q having equal masses are moving along the same line with velocities of 16 m/s and 10m/s respectively. Their velocities after the elastic collision will be in m/s -

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Dec 10JEE & BITSAT