Show that in the absence of any external force, the velocity of the centre of mass remains constant.

Assertion : If there is no external torque on a body about its centre of mass, then the velocity of the centre of mass remains constant. Reason : The linear momentum of an isolated system remains constant.

Satement-1: if there is no external torque on a body about its centre of mass, then the velocity of the center of mass remains constant. Statement-2: The linear momentum of an isolated system remains constant.

Statement 1: Two spheres undergo a perfectly elastic collision. The kinetic energy of system of both spheres is always constant. [There is no external force on system of both spheres]. Statement 2: If net external force on a system is zero, the velocity of centre of mass remains constant.

If the resultant of all external forces is zero, then velocity of centre of mass will be

Velocity Of Centre Of Mass Of System

According to the principle of conservation of linear momentum if the external force acting on the system is zero, the linear momentum of the system will remain conserved. It means if the centre of mass of a system is initially at rest, it will remain at rest in the absence of external force, that is, the displacement of centre of mass will be zero. A plank of mass M is placed on a smooth horizontal surface. light identical springs, each of stiffness K , are rigidly connected to struts at the end of the plank as shown in Fig. When the springs are in their unextended position, the distance between their free ends is 3l . A block of mass m is placed on the plank and pressed against one of the springs so that it is compressed to l . To keep the block at rest it is connected to the strut means of a light string. Initially, the system is at rest, Now the string is burnt. The maximum velocity of the plank is