List of top Physics Questions on Centre of mass

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.

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

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

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

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

Radius of gyration of a thin uniform rod of length $ L $ about an axis passing through its centre and perpendicular to its length is:

The coordinates of the centre of mass of a uniform L-shaped plate of mass 3 kg shown in the figure is:

Ratio of angular velocity of hour hand of a watch and the angular velocity of rotation of earth is

If the radius of gyration of a thin circular ring about an axis passing through its centre and perpendicular to its plane is $10\sqrt{2}$ cm, then its radius about its diameter is
Identify the correct option from the following:

A body of mass 2 kg is moving towards north with a velocity of 20 m/s and another body of mass 3 kg is moving towards east with a velocity of 10 m/s. The magnitude of the velocity of the centre of mass of the system of the two bodies is

Find the value of m if $M = 10$ $kg$. All the surfaces are rough.

Two solid spheres each of mass 2 kg and radius 75 cm are arranged as shown. Find MOI of the system about the given axis.

Three blocks A, B and C are pulled on a horizontal smooth surface by a force of 80 N as shown in figure

The tensions T1 and T2 in the string are respectively:

Which of the following statement is true regarding the centre of mass of a system?

Point, where the total volume of the body is assumed to be concentrated is

As per the given figure, a small ball $P$ slides down the quadrant of a circle and hits the other ball $Q$ of equal mass which is initially at rest Neglecting the effect of friction and assume the collision to be elastic, the velocity of ball $Q$ after collision will be :$\left( g =10 \,m / s ^2\right)$

Three identical spheres each of mass $M$ are placed at the corners of a right angled triangle with mutually perpendicular sides equal to $3 m$ each Taking point of intersection of mutually perpendicular sides as origin, the magnitude of position vector of centre of mass of the system will be $\sqrt{ x } m$ The value of $x$ is

The half-life of a radioactive substance is 30 min. The time for disintegration $\frac{7}{8}$^th part of its original mass will be: