NEET Physics Systems Of Particles And Rotational Motion Motion Of Centre Of Mass MCQs

Two particles of masses $m_1$ and $m_2$ are connected by a light inextensible string passing over a smooth pulley. If the acceleration of the center of mass of the system is $g/4$, what is the ratio of the masses $m_1/m_2$?

A system consists of three particles of masses 1 kg, 2 kg, and 3 kg located at the vertices of an equilateral triangle of side $L$. If the 1 kg mass is removed, by what distance does the center of mass of the system shift?

A uniform rod of mass $M$ and length $L$ is bent into a semicircular ring. The coordinates of the center of mass of the semicircular ring are:

A dog of mass $m$ stands at one end of a flat boat of mass $M$ and length $L$ at rest on a frictionless surface of a lake. The dog walks to the other end of the boat and stops. The displacement of the center of mass of the boat-dog system is:

A particle of mass $m$ moves along a trajectory given by $\vec{r}(t) = (t - \sin(t))\hat{i} + (1 - \cos(t))\hat{j}$, where $t$ is time. The net force acting on the particle is:

Two blocks of masses $m$ and $2m$ are placed on a smooth horizontal surface and connected by a spring. If an impulse $J$ is applied to the lighter block, the velocity of the center of mass immediately after the impulse is:

Two particles of masses 2 kg and 4 kg are moving with velocities 4 m/s and 2 m/s respectively along the same direction. What is the velocity of the centre of mass?

A system consists of two particles located at the origin. If one of the particles moves along the x-axis, the centre of mass will:

For an isolated system, the velocity of the centre of mass:

Two objects of equal mass are moving towards each other with equal speeds. The velocity of their centre of mass is: