Chapter 9 – Rotation

Two blocks of mass 6 kg and 4 kg are placed in contact on a frictionless surface and connected by a spring. if the heavier mass is given a velocity of 14m/s in the direction of lighter one, then the velocity gained by the centre of mass will be then the velocity gained by the [...]

A child stands at one end of a boat moving with a speed v in still water. If the child starts running towards the other end of the boat with a speed u, the centre of mass of the system (boat and child) will move with a speed A child stands at one end of [...]

A system consists of three particles, each of mass m and located at (1,1)(2,2) and (3,3). The coordinates of the centre of the mass are: -12 2) and (3 3). The coordinates of the centre of the mass are: A system consists of three particles each of mass m and located at (1 October 29, [...]

Two particles of masses 1kg and 2kg are located at x1=0, y1=0 and x2 = 1, y2 = 0 respectively. The centre of mass of the system is at Two particles of masses 1kg and 2kg are located at x1=0 y1=0 and x2 = 1 y2 = 0 respectively. The centre of mass of the [...]

In a two-particle system with particle masses m1 and m2, the first particle is pushed towards the centre of mass through a distance d, the distance through which second particle must be moved to keep the centre of mass at the same position is. In a two-particle system with particle masses m1 and m2 the [...]

Two masses of 6 and 2 units are at position (6i – 7j) and (2i + 5j – 8k) respectively. The coordinates of the centre of mass (CM) are Two masses of 6 and 2 units are at position (6i - 7j) and (2i + 5j - 8k) respectively. The coordinates of the centre of [...]

Two bodies of masses m1 and m2 ​are separated by a distance R. The distance of the centre of mass of the bodies from the mass m1 ​is Two bodies of masses m1 and m2 ​are separated by a distance R. The distance of the centre of mass of the bodies from the mass m1 [...]

The position vectors of two identical particles with respect to the origin in three-dimensional coordinate system are r1 and r2 . The position vector of centre of mass of the system is given by: The position vectors of two identical particles with respect to the origin in three-dimensional coordinate system are r1 and r2 . [...]

Two bodies of different masses of 2kg and 4kg are moving with velocities with 2m/s and 10m/s towards each other due to mutual gravitational attraction. What is the velocity of their centre of mass? Two bodies of different masses of 2kg and 4kg are moving with velocities with 2m/s and 10m/s towards each other due [...]

Centre of mass of three particles of masses 1kg, 2kg and 3kg lies at the point (1,2,3) and centre of mass of another system of particles 3kg and 2kg lies at the point (−1,3,−2). Where should we put a particle of mass 5kg so that the centre of mass of entire system lies at the [...]