Center of Mass & Collision PYQ | Part - 1

Center Of Mass - Momentum & Collision|Motion Of COM

Verticle Circular Motion|Example|Center Of Mass - Momentum & Collision

Center of Mass of Continous Bodies | Displacement | Velocity and Acceleration of Center of Mass

A body of mass m_(1) moving at a constant speed undergoes an elastic head on collision with a body of mass m_(2) initially at rest. The ratio of the kinetic energy of mass m_(1) after the collision to that before the collision is -

A uniform rod of mass M and length L lies on a smooth horizontal plane. A particle of mass m moving at a speed v perpendicular to the length of the rod strikes it at a distance L//6 from the center and stops after the collision. Find (a) the velocity of center of mass of rod and (b) the angular velocity of the rod about its center just after collision.

In one dimeensional collision of two particles velocities are interchanged when (a)Collision is elastic and masses are equal (b)Collision is inelastic but masses are unequal

Challenging Problems in Impulse, Collisions & Center of Mass

Challenging Problems in Impulse, Collisions & Center of Mass

While dealing with collision between particles, you must have deal from and Inertial reference frame Often we choose that frame to be fixed in the Laboratary in which the collision is observed. So it is called the Laboratary reference frame or Lab frame From Lab frame we define an elastic collision as a collision in which KE before and after collision is conserved and a perfectly inelastic collision as a collision in which after collision the two colliding bodies have same velocity vector along the line of action of impulse during collision. If we discusss the head-on collsion between two particles from center of mass reference frame, then the velocity of center of mass (CM) will be taken to be zero in any type of collision i.e. velocity of CM before and after collision will both be zero. Since before collsion velocity of CM was zero (as our frame is fixed to CM) and no external impulse acts, it will remain zero forever Two particles of mass 2 kg and 1kg as shown in the figure make a perfectly inelastic collision. Then if we are dealing with center of mass reference frame, the velocity of B before collision is: