System of Parti...

A hollow sphere rolls down a $$30^o$$ incline of length 6m without slipping. The speed of center of mass a the bottom of plane is

A body has its centre of mass at the origin. The x-coordinates of the particles 

Moment of inertia about axis 1 is :

The centre of mass of a system of particles is at the origin. It follows that:

In classical system:

The momentum of a body in two perpendicular directions at any instant of time 't' is given by
$$P_x=2t^2+6$$ and $$p_y=\cfrac {3t^2}2 +3$$. The force acting on the body at t=2 sec is:

Internal forces can change.

Unit of which physical quantity is same as that of unit of impulse of force?

A constant torque acting on a uniform circular wheel changes its angular momentum from $$L$$ to $$4L$$ in $$4$$ seconds. The torque acting on it is:

A particle of mass $$m$$ moves uniformly with a speed $$v$$ along a circle of radius $$r$$. A and B are two points on the circle, such that the arc $$AB$$ subtends an angle $$\theta$$ at the center of the circle. The magnitude of change in momentum as the particle moves from $$A$$ to $$B$$ is given by: