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qUESTIONS

1.Rotational Dynamics

4 thin rods of same mass M and same length L form a square, as shown in the figure. Moment of inertia of this system about an axis through Centre O and perpendicular to its plane is

1.Rotational Dynamics

Three rods each of length l and mass M are placed along the X, Y and Z axes in such a way that one end of each rod is at the origin. The moment of inertia of the system about axis is

1.Rotational Dynamics

Two spheres each of mass M and radius R / 2 are connected with a massless rod of length 2 R as shown in the figure. What will be the moment of inertia of the system about an axis passing through the centre of one of the spheres and perpendicular to the rod

1.Rotational Dynamics

Two particles of masses, M1 and M2 are connected by a rigid massless rod of length R to constitute a dumbbell, which is free to move in the plane. The moment of inertia of the dumbbell about an axis perpendicular to the plane passing through the centre of mass is

1.Rotational Dynamics

A thin wire of length l and mass m is bent in the form of a semicircle. Its moment of inertia about an axis joining its free ends will be

1.Rotational Dynamics

What is the moment of inertia of solid sphere of density P and radius R about its diameter

1.Rotational Dynamics

A thin uniform rod AB of mass M and length L is hinged at one end A to the level floor. Initially it stands vertically and is allowed to fall freely to the flow in the vertical plane. The angular velocity of the rod when its end B strikes the floor is

1.Rotational Dynamics

One quarter of the disc of mass m is removed if r be the radius of the disc. The new movement of inertia is

1.Rotational Dynamics

An airplane flying at a velocity of 900kmh−1 loops the loop. If the maximum force pressing the pilot against the seat is five times its weight, the loop radius should be

1.Rotational Dynamics

A body crosses the topmost point of a vertical circle with a critical speed. Its centripetal acceleration, when the string is horizontal will be

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