Center of Mass Questions

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...

A rod of weight W is supported by two parallel knife edges A and B and is in equilibrium in a horizontal position. The knives are at a distance d from each other. The centre of mass of the rod is at d...

Two identical charged spheres suspended from a common point by two massless strings of lengths 𝑙, areinitially at a distance d(d< < 𝑙) apart because of their mutual repulsion. The charges ...

What is the minimum velocity with which a body of mass m must enter a vertical loop of radius R so that itcan complete the loop?

What is the minimum velocity with which a body of mass m must enter a vertical loop of radius R so that itcan complete the loop?

A solid sphere of radius r made of a soft material of bulk modulus K is surrounded by a liquid in a cylindrical container. A massless piston of area a floats on the surface of the liquid, covering ent...

A moving block having mass m, collides with another stationary block having mass 4m. The lighter block comes to rest after collision. When the initial velocity of the lighter block is v, then the valu...

Two identical photo cathodes receive light of frequencies f1 and f2. if the velocities of the photoelectrons (of mass m) coming out are respectively v1 and v2, then...

A cylinder of height 20 m is completely filled with water. The velocity of efflux of water (in ms-1) through a small hole on the side wall of the cylinder near its bottom is...

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

If a body looses half of its velocity on penetrating 3 cm in a wooden block, then how much will it penetrate more before coming to rest?

Two particle of mass m each are tied at the ends of a light string of length 2a. Thewhole system is kept on a frictionless horizontal surface with the string held tight so that each mass is at a dista...

A solid sphere of mass M, radius R and having moment of inertia about an axis passing through the centre of mass as I, is recast into a disc of thickness t, whose moment of inertia about an axis passi...

Two wires of same metal have the same length but their cross sections are Anthe ratio 3 : 1. They are joined in series. The resistance of the thicker wire is 10Ω . The total resistance of the com...

Two wires of same metal have the same length but their cross sections are Anthe ratio 3 : 1. They are joined in series. The resistance of the thicker wire is 10Ω . The total resistance of the com...

A tube of length L is filled completely with an imcompressible liquid of mass M closed at both the ends. The tube is then rotated in a horizontal plane about one of its ends with a uniform angular vel...

A person sees his virtual image by holding a mirror very close to the face. When he moves the mirror away from his face, the image becomes inverted. What type of mirror he is using :-...

A lift falling freely after the break down of its suspension. The mass of person inside the lift remain/would become :-

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

A mass of 0.2 kg moving with a speed of 2m/s strikes a horizontal spring and is brough to rest after compressing the spring by 2cm. If g = 10m/s2, then the spring constant should be :-...