Home
Class 12
PHYSICS
A uniform rod of length 'l' is pivoted a...


A uniform rod of length 'l' is pivoted at one of itd ends on a vertical shaft of negligible radius When the shaft rotates at angular speed `omega` the rod makes an angle `theta` with it (see figure) . To find `theta` equate the rate of change of angular momentum (direction going into the paper) `(ml^2)/(12) omega^2 sin theta cos theta` about the centre of mass (CM) to the torque provided by the horizontal and vertical forces `F_H` and `F_V` about the CM. The value of `theta` is then such that :

Promotional Banner

Similar Questions

Explore conceptually related problems

A uniform rod of length L is free to rotate in a vertical plane about a fixed horizontal axis through B . The rod begins rotating from rest. The angular velocity omega at angle theta is given as

A uniform rod of legth L is free to rotate in a vertica plane about a fixed horizontal axis through B . The rod begins rotating from rest. The angular velocity omega at angle theta is given as

A uniform rod of legth L is free to rotate in a vertica plane about a fixed horizontal axis through B . The rod begins rotating from rest. The angular velocity omega at angle theta is given as

A uniform rod of length L and mass M is pivoted freely at one end and placed in vertical position. a. What is angular acceleration of the rod when it is at ann angle theta with the vertical? b. What is the tangential linear acceleration of the free end when the rod is horizontal?

A uniform rod of length L and mass M is pivoted freely at one end and placed in vertical position. a. What is angular acceleration of the rod when it is at ann angle theta with the vertical? b. What is the tangential linear acceleration of the free end when the rod is horizontal?

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 bob of mass m attached to an inextensible string of length l, is suspended from a vertical support. Bob rotates in a horizontal circle with angular speed omega and string makes an angle of theta with the vertical. Find the angular momentum of bob about axis of rotation

A uniform of mass m and length L is tied to a vertical shaft. It rotates in horizontal plane about the vertical axis at angular velocity omega . How much horizontal force does the shaft exert on the rod?