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qUESTIONS

1.Rotational Dynamics

A body is just revolved in a vertical circle of radius R, when the body is at the highest point, the string breaks. The horizontal distance covered by the body after the string breaks is

1.Rotational Dynamics

The radius of gyration of a solid sphere of radius R and Mass M about its diameter is Kd and about the tangent of a solid sphere is Kt. The ratio of Kt to Kd is

1.Rotational Dynamics

A weightless thread can bear a tension upto 3.7 kg-wt. A stone of mass 500 g is tied to it andrevolved in a circular path of radius 4 m in a vertical plane. If g=10 ms^-2, then the maximum angular velocity of the stone will be:

1.Rotational Dynamics

A road is 10 metre wide. Its radius of curvature is 50 metres. The outer edge is above the inner edge by a distance of 1.5 metres. This road is most suited for velocity

1.Rotational Dynamics

A particle of mass M performs uniform circular motion of radius R with linear speed V under the application of Force F. If M, V and R are all increased by 50% then necessary change in force required to maintain the particle in uniform circular motion is

1.Rotational Dynamics

Match the columns

1.Rotational Dynamics

When the bob of mass M moves in a horizontal circle of radius R with uniform speed v, having length of string L describes a cone of semi vertical angle Theta. The centripetal force acting on the bob is given by

1.Rotational Dynamics

A solid sphere of mass ‘M’ and radius ‘R’ is rotating about its diameter. A solid cylinder of same mass and same radius is also rotating about its geometrical axis with an angular speed twice that of the sphere. The ratio of their kinetic energies of rotation ( K sphere to K cylinder ) will be:

1.Rotational Dynamics

A solid sphere of radius R has mass M, the moment of inertia of a solid sphere about an axis at a distance R/2 from the centre is

1.Rotational Dynamics

An iron rod of mass M and length L is cut into n equal parts by cutting it perpendicular to its length. If I is the M.I. of the rod, about an axis passing through its centre and perpendicular to its axis, then the moment of inertia of each part about the similar axis is

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