Systems of Part...

A cylinder of mass 5 kg and radius 30 cm, and free to rotate about its axis, receives an angular impulse of 3 kgm²s^–1 initially followed by a similar impulse after every 4 sec. what is the angular speed of the cylinder 30 sec after initial imulse ? The cylinder is at rest initially.

Two circular loop A & B of radii r_a and r_b respectively are made from a uniform wire. The ratio of their moment of inertia about axes passing through their centres and perpendicular to their planes is I_B/I_A = 8, then r_b/r_a R_a is equal to...

A circular disc of radius R and thickness R/6 has moment of inertia I about an axis passing through its centre and perpendicular to its plane. It is melted and recasted in to a solid sphere. The moment of inertia of the sphere about its diameter as axis of rotation is ...

A thin wire of length L and uniform linear mass density ρ is bent in to a circular loop with centre at O as shown in figure. The moment of inertia of the loop about the axis xx\' is ....

A straight rod of length L has one of its ends at the origin and the other end at x=L If the mass per unit length of rod is given by Ax where A is constant where is its center of mass.

A uniform rod of length 2L is placed with one end in contact with horizontal and is then inclined at an angle α to the horizontal and allowed to fall without slipping at contact point. When it becomes horizontal, its angular velocity will be.....

A cubical block of side a is moving with velocity V on a horizontal smooth plane as shown in figure. It hits a ridge at point O. The angular speed of the block after it hits O is ....

Consider a body as shown in figure, consisting of two identical bulls, each of mass M connected by a light rigid rod. If an impulse J = MV is imparted to the body at one of its ends, what would be its angular velocity. What is V ?

A thin circular ring of mass M and radius r is rotating about its axis with a constant angular velocity w. Two objects each of mass m are attached gently to the opposite ends of a diameter of the ring. The ring will now rotate with an angular velocity....

From a circular disc of radius R and mass 9M, a small disc of radius R/3 is removed from the disc. The moment of inertia of the remaining portion about an axis perpendicular to the plane of the disc and passing through O is....