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qUESTIONS

1.Rotational Dynamics

Four identical solid spheres each of mass and radius are placed with their centers on the four corners of a square of side. The moment of inertia of the system about one side of square where the axis of rotation is parallel to the plane of the square is:

1.Rotational Dynamics

A rope of negligible mass is wound round a hollow cylinder of mass 2kg and radius 20cm. What is the angular acceleration of the cylinder, if the rope is pulled with a force of 2N.

1.Rotational Dynamics

A stone of mass m is tied to a string and is moved in a vertical circle of radius r making n revolution per minute. The total tension in the string when the stone is its lowest point is.

1.Rotational Dynamics

Two bodies of masses m and 3m are rotating in horizontal circles of radius r and r/3 respectively. The tangential speed of body of mass m is n times that of the value of the heavier body; while the centripetal force is same for both. The value of n is

1.Rotational Dynamics

A bucket containing water is revolved in a vertical circle of radius r . To Prevent the water from falling down, the minimum frequency of revolution required is

1.Rotational Dynamics

A body moving in a circular path with a constant speed has constant

1.Rotational Dynamics

A round disc of moment of inertia I_2 about its axis perpendicular to its plane and passing through its centre is placed over another disc of moment of inertia I_1 rotating with an angular velocity ω about the same axis. The final angular velocity of the combination of discs is

1.Rotational Dynamics

Angular momentum is conserved

1.Rotational Dynamics

A rod of length L and Mass M is bent to form a semicircular ring, as shown. The moment of inertia about XY is

1.Rotational Dynamics

Two discs of same material and thickness have radii 02 m and 0.6 m. Their moments of inertia about their axis will be in the ratio

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