List of top Physics Questions on Centre of mass

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

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:

Four masses of $1\text{ kg}, 2\text{ kg}, 3\text{ kg}$ and $4\text{ kg}$ are kept at co-ordinates $(0, 0)\text{m, (0, 1)\text{m}$ and $(1, 0)\text{m}$ respectively. Using the co-ordinates of centre of mass its position vector is}

The centre of mass of a system of particles does NOT depend on

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.

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:

Three force F₁= 10N, F₂= 8 N, F₃ = 6N are acting on a particle of mass 5 kg. The forces F₂ and F₃are applied perpendicular so that particle remains at rest. If the force F₁ is removed, then the acceleration of the particle is

A metal block of mass m is suspended from a rigid support through a metal wire of diameter 14 mm. The tensile stress developed in the wire under equilibrium state is 7× 10⁵ Nm^-2 . The value of mass m is ___ kg. (Take, g = 9.8 ms-2 and π =$\frac{ 22}{7}$)

A circular plate A of radius 1.5r is removed from one edge of a uniform circular plate B of radius 2r. The distance of centre of mass of the remaining portion from the centre of the plate B is

Two boys A and B with masses 30 kg and 20 kg respectively are at the two extremes of a boat of mass 50 kg and length 5 m resting still on water. Boys A and B move towards each other and meet at the midpoint of the boat. During the process, the distance moved by the boat and boys is (Neglect friction between water and boat)

In the diagram shown below, $ m_1 $ and $ m_2 $ are the masses of two particles and $ x_1 $ and $ x_2 $ are their respective distances from the origin $ O $. The centre of mass of the system is

At any instant the velocity of a particle of mass 500g is $ \left( 2t \hat{i} + 3t^2 \hat{j} \right) \, \text{ms}^{-1} $. If the force acting on the particle at $ t = 1 $ s is $ \left( \hat{i} + x \hat{j} \right) \, \text{N} $, then the value of $ x $ will be:

A circular portion of radius $R_2$ has been removed from one edge of a circular disc of radius $R_1$. The correct expression for the centre of mass for the remaining portion of the disc is

Two bodies of masses m₁ = 5 kg and m₂ = 3 kg are connected by a light string going over a smooth light pulley on a smooth inclined plane as shown in the figure. The system is at rest. The force exerted by the inclined plane on the body of mass m₁ will be
[Take g = 10 ms^–2]

Two bodies of masses m1 = 5 kg and m2 = 3 kg are connected by a light

A particle of mass 500 gm is moving in a straight line with velocity v = bx^5/2. The work done by the net force during its displacement from x = 0 to x = 4 m is : (Take b = 0.25 m^–3/2s^–1).

A spherical shell of 1 kg mass and radius R is rolling with angular speed ω on horizontal plane (as shown in figure). The magnitude of angular momentum of the shell about the origin O is $\frac{a}{3}R^2w$. The value of a will be

A spherical shell of 1 kg mass and radius R is rolling with angular speed