Home
Class 12
PHYSICS
A uniform rod AB of mass m and length L ...


A uniform rod AB of mass m and length L rotates about a fixed vertical axis making a constant angle `theta` with it as shown in figure. The rod is rotated about this axis, so that point B the free end of the rod moves with a uniform speed `V` in the horizontal plane then the angular momentum of the rod about the axis is:

A

`(1)/(2)mVLcostheta`

B

`(1)/(3)mVLsintheta`

C

`mVLsincostheta`

D

zero

Text Solution

Verified by Experts

The correct Answer is:
B
Moment of inertial of rod about the axis
`I=(1)/(3)mL^(2)sin^(2)theta`
`L=Iomega=(1)/(3)mL^(2)sin^(2)theta(V)/(Lsintheta)=(1)/(3)mVLsintheta`
Promotional Banner

Similar Questions

Explore conceptually related problems

A rod AB of mass m and length L is rotating in horizontal plane about one of its ends which is pivoted. The constant angular speed with which the rod is rotating is omega . The force applied on the rod by the pivot is

A rod of mass m and length l is rotating about a fixed point in the ceiling with an angular velocity omega as shown in the figure. The rod maintains a constant angle theta with the vertical. What is the rate of change of angular momentum of the rod ?

A rod of mass m and length l is rotating about a fixed point in the ceiling with an angular velocity omega as shown in the figure. The rod maintains a constant angle theta with the vertical. What angle will the rod make with the vertical

A rod of mass m and length l is rotating about a fixed point in the ceiling with an angular velocity omega as shown in the figure. The rod maintains a constant angle theta with the vertical. What will be the horizontal component of angular momentum of the rod about the point of suspension in terms of m , omega , l and theta .

A uniform rod of mass m and length L is kept on a horizontal table with L/4 length on the table as shown in figure. As the string attached to the end B is cut, the angular acceleration of the rod about point C will be

A thin horizontal uniform rod AB of mass m and length l can rotate freely about a vertical axis passing through its end A . At a certain moment, the end B starts experiencing a constant force F which is always perpendicular to the original position of the stationary rod and directed in a horizontal plane. The angular velocity of the rod as a function of its rotation angle theta measured relative to the initial position should be.

A uniform rod of mass m and length l is fixed from Point A , which is at a distance l//4 from one end as shown in the figure. The rod is free to rotate in a vertical plane. The rod is released from the horizontal position. What is the reaction at the hinge, when kinetic energy of the rod is maximum?

A uniform rod of mass m and length L is free to rotate in the vertical plane about a horizontal axis passing through its end. The rod initially in horizontal position is released. The initial angular acceleration of the rod is:

A uniform rod of mass m is rotated about an axis passing through point O as shown. Find angular momentum of the rod about rotational law.

A uniform rod AB of length l and mass m hangs from point A in a car moving with velocity v_(0) on an inclined plane as shown in Fig. The rod can rotate in vertical plane about the axis at point A . if the car suddenly stops, the angular speed with which the rod starts rotating is