Center of Mass Questions

Two persons of masses 55 kg and 65 kg respectively, are at the opposite ends of a boat. The length ofthe boat is 3.0 m and weighs 100 kg. The 55 kg man walks up to the 65 kg man and sits with him. If ...

Two spherical bodies of mass M and 5M and radii R and 2R respectively are released in free space with initial separation between their centres equal to 12R. If they attract each other due to gravitati...

Three masses the placed on the x-axis 300 g at origin, 500 g at x = 40 cm and 400 g at x = 70 cm.The distance of the centre of mass from the origin is

Two particles which are intially at rest, move towards each other due to the action of their internal attraction. If their speed are v and 2v at any instant, then the speed of the centre of mass of th...

Two partiicles A and B initially at rest, move twowards each other by mutual force of attraction. At the instant when the speed of A is v and speed of B is 2v, the speed of the centre of mass of the s...

An isolated particle of mass m is moving in horizontal plane (x-y), along x-axis, at a certain height above the ground. It suddenly explodes into two fragment of masses m/4 and 3m/4. An instant later,...

Two blocks of masses 10 kg and 4 kg are connected by a spring of negligible mass and placed on a frictionless horizontal surface. An impulse give a velocity of 14 m/s to the heavier block in the direc...

Consider a two particle system with particles having masses m1 and m2. If the first particle is pushed towards the centre of mass through a distance d, by what distance should the second particle be m...

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 centre of mass of bodies B and C taken together shifts...

Two identical particles move towards each other with velocity 2v and v respectively. The velocity of centre of mass is

A man m = 80 kg is standing on a trolley of mass 320 kg on a smooth surface. If man starts walking on trolley along rails at a speed of 1 ms-1, then after 4 sec, his displacement relative to ground is...

A person of mass m is standing on one end of a plank of mass M and length L and floating in water. The person moves from one end to another and stops. The displacement of the plank is -...

Two bulbs B1 & B2 each having resistance 50Ω are connected according to the figure. Which bulb will glow with more brightness :-...

A rectangular glass slab ABCD, of refractive index n1, is immersed in water of refractive index n2 (n1 > n2). A ray of light is incident at the surface AB of the slab as shown. The maximum value of...

At t = 0 activity of a sample is A. Let its mean life is Tm. At which instant its activity become...

Two blocks A and B of equal mass are released on two sides of a fixed wedge c as shown in figure, then what will be the acceleration of centre of mass of blocks A and B. Neglect friction...

A disc of radius a/4 is removed from a square plate of side a as shown in figure then what will be distance of centre of mass of the remaing plate from centre of the plate :-...

A lift starts moving upwards from rest. Its acceleration is plotted against time in the following graph. When it comes to rest its height above its starting point is:-...

Two skaters A and B of mass 50 kg and 70 kg, respectively, stand facing each other, 6 metres apart on a horizontal smooth surface. They pull a rope stretched between them. How far has each moved when ...

Distance of the centre of mass of a solid uniform cone from its vertex is z0. If the radius of its base is R and its height is h then z0 is equal to :-