System of Parti...

The velocity of centre of mass of the system as shown in the figure is

What is the moment of force about the apex of triangle, if 3  forces of 40 N each acting along the sides of equilateral triangle of side 2 m taken in order

The M.I of a thin rod of length $$l$$ about the perpendicular axis through its centre is $$I$$. The M.I of the square structure made by four such rods about a perpendicular axis to the plane and through the centre will be-

A uniform rod of mass $$m$$ and length $$l$$ hinged at its end is released from rest when  it is in the horizontal position. The normal reaction at the hinged when the rod becomes vertical is

If the kinetic energy of a body is increased by 300% then determine the percentage increase in the  momentum 

The temperature of a thin uniform rod increase by $$\Delta t$$ If moment of intertia 1 about an axis perpendicular to its length then its moment of increase by 

The moment of inertia of a uniform thin rod of length $$L$$ and mass $$M$$ about an axis passing through a point at a distance of $$\cfrac{L}{3}$$ from one of its ends and perpendicular to the rod is

A solid cylinder of mass  $$500 \mathrm{g}  $$ and radius $$10  \mathrm{cm}  $$ .has radius of gyration about the axis $$  y y' $$ as given below is

Ratio of radii of gyration of a hollow & solid sphere of the same radii about the axis which is tangent to the sphere is 

If a square of side $$R/2$$ is removed from a uniform circular disc of radius $$R$$ as shown in the figure, the shift in centre of mass is