Two bodies of same mass tied with an inelastic string of length `l` lie together. One of them is projected vertically upwards with velocity `sqrt(6gl)`. Find the maximum height up to which the centre of mass system of the two masses rises.

Two particles A and B of equal masses lie close together on a horizontal table and are connected by a light inextensible string of length l . A is projected vertically upwards with a velocity sqrt(10gl) . Find the velocity with which it reaches the table again.

If two particles of masses m_(1) and m_(2) are projected vertically upwards with speed v_(1) and v_(2) , then the acceleration of the centre of mass of the system is

Two particles of same mass are project simultaneously with same speed 20ms^(-1) from the top of a tower of height 30m. One is projected vertically upwards and other projected horizontally.The maximum height attained by centre of mass from the ground will be (g=10ms^(-2))

Two stones of masses m and 2 m are projected vertically upwards so as to reach the same height. The ratio of the kinetic energies of their projection is

Two bodies are thrown vertically upwards with their initial velocity in the ratio 2:3. Then the ratio of the maximum height attained by them is

A body projected vertically upwards with a velocity of 19.6 m//s reaches a height of 19.8 m on earth. If it is projected vertically up with the same velocity on moon, then the maximum height reached by it is

Two particles of equal mass are projected simultaneously with speeds 20 m//s end 10sqrt(3)m//s as shown in figure. Find the maximum height reached by the centre of mass of the particles

A small ball is connected to a block by a light string of length l. Both are initially on the ground. There is sufficient friction on the ground to prevent the block from slipping. The ball is projected vertically up with a velocity u, where 2gl lt u^(2) lt 3gl . The centre of mass of the block + ball' system is C.

A body is projected vertically upwards with a speed of sqrt((GM)/R) ( M is mass and R is radius of earth ) . The body will attain a height of

A particle of mass m is suspended by a string of length l from a fixed rigid support. Particle is imparted a horizontal velocity u=sqrt(2gl) . Find the angle made by the string with the vertical when the acceleration of the particle is inclined to the string by 45^(@) ?