Angular Momentum

A particle of mass   moves in the XY plane with a velocity   along the straight line AB. If the angular momentum of the particle with respect to the origin   is   when it is at   and   when it is at then: 

1.
2.
3.	the relationship between and depends upon the slope of the line
4.

A thin circular ring of mass M and radius R is rotating in a horizontal plane about an axis vertical to its plane with a constant angular velocity \omega . If two objects each of mass m are attached gently to the opposite ends of the diameter of the ring, the ring will then rotate with an angular velocity:

1.		2.
3.		4.

A circular disk of a moment of inertia is rotating in a horizontal plane, about its symmetric axis, with a constant angular speed Another disk of a moment of inertia is dropped coaxially onto the rotating disk. Initially, the second disk has zero angular speed. Eventually, both the disks rotate with a constant angular speed The energy lost by the initially rotating disc due to friction is:
1.

2.

3.

4.

When a mass is rotating in a plane about a fixed point, its angular momentum is directed along:

1.	a line perpendicular to the plane of rotation
2.	the line making an angle of to the plane of rotation
3.	the radius
4.	the tangent to the orbit

A force $\stackrel{}{}$ is acting at a point . The value of for which angular momentum about the origin is conserved is:
1.
2.
3. zero
4.

Two rotating bodies and of masses and with moments of inertia and have equal kinetic energy of rotation. If and be their angular momenta respectively, then:
1.
2.
3.
4.

Two discs of the same moment of inertia are rotating about their regular axis passing through centre and perpendicular to the plane of the disc with angular velocities ${\mathrm{}}_{}$and . They are brought into contact face to face with their axis of rotation coinciding. The expression for loss of energy during this process is:
1.
2.
3.
4.

A solid sphere is rotating freely about its axis of symmetry in free space. The radius of the sphere is increased keeping its mass the same. Which of the following physical quantities would remain constant for the sphere?

1.	angular velocity
2.	moment of inertia
3.	rotational kinetic energy
4.	angular momentum

The sun rotates around its centre once in days. What will be the period of revolution if the sun were to expand to twice its present radius without any external influence? Assume the sun to be a sphere of uniform density.

1.	days	2.	days
3.	days	4.	days