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qUESTIONS

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

1.Rotational Dynamics

As per given figure to complete the circular loop what should be the radius if initial height is 5 m

1.Rotational Dynamics

A hollow sphere has radius 6.4 m. Minimum velocity required by a motor cyclist at bottom to complete the circle will be

1.Rotational Dynamics

A body of mass m hangs at one end of a string of lenth l, the other end of which is fixed. It is given a horizontal velocity so that the string would just reach where it makes an angle of 60∘ with the vertical. The tension in the string at bottommost point position is

1.Rotational Dynamics

A weightless thread can bear tension upto 3.7 kg wt .A stone of mass 500 gm is tied to it and rotated in a circular path of radius 4 m, in a vertical circle If g=10m/s2 then the maximum angular velocity of the stone will be

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