CameraIcon

SearchIcon

MyQuestionIcon

248

You visited us 248 times! Enjoying our articles? Unlock Full Access!

Rotation

The density o...

Question

The density of a rod gradually decreases from one end to the other. It is pivoted at an end so that it can move about a vertical axis though the pivot. A horizontal force F is applied on the free end in a direction perpendicular to the rod. The quantities, that do not depend on which end of the rod is pivoted, are
(a) angular acceleration
(b) angular velocity when the rod completes one rotation
(c) angular momentum when the rod completes one rotation
(d) torque of the applied force.

Open in App

Solution

(d) torque of the applied force

The torque of the applied force does not depend on the density of a rod. It depend on the distance between the pivot and the point where F is applied. So, it does not depend on which end of the rod is pivoted.

Suggest Corrections

thumbs-up

0

Similar questions

Q. The density of a rod gradually decreases from one end to the other. It is pivoted at an end so that it can move about a vertical axis through the pivot. A horizontal force

F

is applied on the free end in a direction perpendicular to the rod. The quantities, that do not depend on which end of the rod is pivoted are

Q. A slender rod of mass

M

L

rests on a horizontal frictionless surface. The rod is pivoted about one of its ends. The impulse of the force exerted on the rod by the pivot when the rod is struck by a blow of impulse J perpendicular to the rod at other end is :

Q. A rod can rotate about a fixed vertical axis. The mass is non-uniformly distributed along the length of the rod. A horizontal force of the constant magnitude and always perpendicular to the rod is applied at the end. Which of the following quantity (after one rotation) will not depend on information that, through which end the axis passes? (Assuming initial angular velocity to be zero)

Q. A rod of mass

2 kg

1 m

is lying in the horizontal plane and pivoted about its one end. Initially, it is rotating about its pivoted end (axis perpendicular to horizontal plane) with an angular velocity

2 rad/s

. Suddenly, an angular impulse

\to J

is given to the rod, because of which its angular velocity becomes

10 rad/s

. Find the magnitude of angular impulse

\to J

.

Q. A uniform rod of mass

M

L

is pivoted at one end such that it can rotate in a vertical plane. There is negligible friction at the pivot. The free end of the rod is held vertically above the pivot and then released. The angular acceleration of the rod when it makes an angle

θ

with the vertical is

View More

Join BYJU'S Learning Program

similar_icon

Related Videos

lock

Rotation

PHYSICS

Watch in App

explore_more_icon

Explore more

Standard X Physics

Join BYJU'S Learning Program

CrossIcon