NEET Physics Systems Of Particles And Rotational Motion 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 solid sphere rolls without slipping down an inclined plane of inclination $heta$. The acceleration of its center of mass is:

Two spheres of masses 2M and M are initially at rest at a distance R apart. Due to mutual force of attraction, they approach each other. When they are at separation R/2, the acceleration of the centre of mass of spheres would be

The motion of the centre of mass is the result of

If a force acts on a body at a point away from the centre of mass, then

A cart of mass $M$ is tied by one end of a massless rope of length $10m$. The other end of the rope is in the hands of a man of mass $M$. The entire system is on a smooth horizontal surface. The man is at $x = 0$ and the cart at $x = 10m$. If the man pulls the cart by the rope, the man and the cart will meet at the point

A solid cylinder is rolling down on an inclined plane of angle $heta$. The coefficient of static friction between the plane and cylinder is ${\mu _s}$. The condition for the cylinder not to slip is

A solid cylinder is rolling down on an inclined plane of angle $heta$. The coefficient of static friction between the plane and cylinder is ${\mu _s}$. The condition for the cylinder not to slip is

Two masses ${m_1}\,and\,{m_2}$ \left( {{m_1} > {m_2}} \right) are connected by massless flexible and inextensible string passed over massless and frictionless pulley. The acceleration of centre of mass is