List of top Physics Questions on Centre of mass

Two masses 2 kg and 6 kg lie on the x-axis at distances of 3 m and 6 m, respectively, from the origin. The distances of the centre of mass of the system from the origin and from the 2 kg mass are in the ratio
Two bodies A and B of masses 2 kg and 3 kg respectively are moving along the same straight line such that the linear momentum of body A is greater than the linear momentum of body B. The velocity of centre of mass of the system of the two bodies when they are moving in the same direction is 9 times the velocity of centre of mass when they are moving in opposite directions. The ratio of the velocities of the bodies A and B is
Three small particles \(A\), \(B\) and \(C\) of equal mass move with equal speed \(v\) along the medians of an equilateral triangle as shown. They collide at the centroid \(G\) of the triangle. After the collision, \(A\) comes to rest, while \(B\) retraces its path with the same speed \(v\). What is the speed and direction of motion of \(C\) after the collision?
Two particles of masses $m_1$ and $m_2$ ($m_1 > m_2$) are separated by a distance 'd'. When the positions of the two particles are interchanged, the shift in the centre of mass is:
Two identical particles move towards each other with velocities $2V$ and $V$ respectively. The velocity of the center of mass of this system is:
When the total external force acting on a moving system is zero, the velocity of the center of mass
If m and 2m are two masses separated by a distance of 1 m are attracted by gravitational force. Then the acceleration of their centre of mass is?
If two objects of mass $m_1 = 80$g and $m_2 = 120$g moves with same speed 6cm/s, find the velocity of centre of mass
If external force acting on a body is zero, centre of mass of body
The position of center of mass of three masses 2 kg, 3 kg and 15 kg placed with respect to mid point ($p$) of normal bisector, as shown in the figure is _________
A bomb at rest explodes into three pieces in the ratio of masses 2 : 2 : 3. The identical masses fly off perpendicular to each other with 18 m/s. Find speed of the third piece.
Three rods of same mass are placed as shown in figure. The co-ordinates of centre of mass of the system are
Three rods of same mass are placed as shown in figure. The co-ordinates of centre of mass of the system are
Two objects of masses \( 1\,\text{kg} \) and \( 2\,\text{kg} \) are moving towards each other with accelerations \( 2\,\text{m s}^{-2} \) and \( 3\,\text{m s}^{-2} \) respectively on a smooth horizontal surface. The acceleration of centre of mass of the system is
Select the correct statement from the following: The position of the centre of mass of a system:
The separation between C and O atoms in CO is \( 0.12 \, nm \). The distance of C atom from the centre of mass is
Three rods of same mass are placed as shown in figure. The co-ordinates of centre of mass of the system are
Four identical point masses are placed at the corners of a square ABCD and the centre of mass lies at the centre O of the square. If the mass at B is removed, then the centre of mass lies at the point
A shell travelling along a parabolic path in the gravitational field of the earth undergoes explosion in mid air. The centre of mass of the fragments will move
Three particles of equal mass lie at distances of 1 cm, 2 cm, and 3 cm from the origin. The distance of their center of mass from the origin is
Three blocks A, B and C are arranged as shown in the figure such that the distance between two successive blocks is 10 m. Block A is displaced towards block B by 2 m and block C is displaced towards block B by 3 m. The distance through which the block B should be moved so that the centre of mass of the system does not change is
Three blocks A, B and C are arranged as shown in the figure
Radius of gyration of a thin uniform rod of length \( L \) about an axis passing through its centre and perpendicular to its length is:
A circular disc of diameter 0.8 m and mass 4 kg is rolling on a smooth horizontal plane. If 2.56 N torque is acting on the disc, then its angular acceleration is:
Three blocks A, B and C are arranged as shown in the figure such that the distance between two successive blocks is 10 m. Block A is displaced towards block B by 2 m and block C is displaced towards block B by 3 m. The distance through which the block B should be moved so that the centre of mass of the system does not change is
Three blocks A, B and C are arranged as shown in the figure
The angular velocity of a body changes from \(6 \, \text{rad/s}\) to \(21 \, \text{rad/s}\) in a time of \(1.5 \, \text{s}\). If the moment of inertia of the body is \(100 \, \text{g m}^2\), then the rate of change of angular momentum of the body is