System of Parti...

A bicycle wheel rolls without slipping on a horizontal floor. Which one of the following is true about the motion of points on the rim of the wheel, relative to the axis at the wheel's centre?

MI of frame about axis '1' will be 

Two bodies of mass $$10kg$$ and $$2kg$$ are moving with velocities $$2i-7j+3k$$ and $$-10i+35j-3k$$ $$m/s$$ respectively. The velocity of their CM is

Two particles A and B initially at rest, move towards each other under a mutual force of attraction. At the instant when the speed of A is v and speed of B is 2v, the speed of centre of mass of the system is :

A particle moves in a circle in such a way that kinetic energy is directly proportional to $${ R }^{ -n }$$ and the angular momentum of the particle is independent of radius, then the value of n is:

A slender uniform rod of mass M and length l is pivoted at one end so that it can rotate in a vertical plane (see figure). There is negligible friction at the pivot. The free end is held vertically above the pivot and then released. The angular acceleration of the rod when it makes an angle $$\theta$$  with vertical is

An automobile engine develops $$100$$ $$kW$$ when rotating at a speed of $$1800\ rev/min$$. The torque it delivers is

What would happen if the Earth did not rotate on its axis?

The moment of inertia of a metre stick of mass $$300\ g$$, about an axis at right angles to the stick and located at $$30\  cm$$ mark, is

Consider a ring rolling down a smooth inclined plane of vertical height 'h' and inclination $$\theta$$. Then the true statement in the following is?