System of Parti...

Four identical thin rods each of mass $$M$$ and length $$l$$, form a square frame. Moment of inertia of this frame about an axis through the centre of the square and perpendicular to its plane is

Two discs of same mass and same thickness have densities as $$17\ g/{cm}^{3}$$ and $$51\ g/{cm}^{3}$$. The ratio of their moment of inertia are in the ratio

Four thin uniform rods of length $$L$$ and mass $$m$$ are joined to form a square. The moment of inertia of square about an axis along its one diagonal is :

A wire of length $$L$$ and mass $$M$$ is bent in the form of a circular ring. Its moment of inertia about its axis is

Force-time graph for the motion of a body is shown in figure. Change is linear momentum between 0 s to 8 s is : 

Two blocks of masses $$10\ kg$$ and $$4\ kg$$ are connected by a spring of negligible mass and placed on a frictionless horizontal surface. An impulse gives a velocity of $$14\ m/s $$ to the heavier block in the direction of the lighter block. The velocity of the centre of mass is 

The linear density of a rod of length $$L$$ varies as $$\rho=A+Bx$$ where $$x$$ is the distance from the left end. The distance of centre of mass from $$O$$ is

A man stands at the centre of a turn table it extended horizontally, with a $$5 kg$$ mass hand. He is set into rotation with an angular of one revolution in $$2s$$. His new angular is he drops his hands to his sides is (Assume moment of inertia of the man is $$6 \ kgm^2$$. The distance of the wavelength from the axis is $$1 m$$and final distance is $$0.2 m$$)

Three particles each of mass $$200 g$$, are kept at corners of an equilateral triangle of side $$10 cm$$. Find the moment of inertia of the system about an axis joining two of the particle.

A person sitting firmly over a rotating stool has his arms stretched. If he folds his arms, his angular momentum about the axis of rotation