Home
Class 12
PHYSICS
A pendulum bob of mass m hangs from one ...

A pendulum bob of mass m hangs from one end of a horizontal rod which is rotating about vertical axis with an unknown angular speed `omega` such that the light inextensible string of length l of the pedulum makes a constant angle `theta` with vertical. Find the
Q. tension in the string

A

`T=mg(tantheta)`

B

`T=mgsectheta`

C

`T=mgsinthetacostheta`

D

`T=mgcottheta`

Text Solution

Verified by Experts

The correct Answer is:
B
`Tcostheta=mg`
and `Tsintheta=momega^2(R+Lsintheta)` ..(ii)
From equation (i)
`T=mgsectheta`
solving equation (i) and (ii)
`omega=sqrt((gtantheta)/(R+lsintheta))`
Promotional Banner

Similar Questions

Explore conceptually related problems

A pendulum bob of mass m hangs from one end of a horizontal rod which is rotating about vertical axis with an unknown angular speed omega such that the light inextensible string of length l of the pedulum makes a constant angle theta with vertical. Find the Q. angular speed omega

A stone tied to a string of length l is whirled in a horizontal circle at a constant angular speed omega in a circle of radius r. If the string makes an angle theta with vertical then the tension in the string is :

A simple pendulum is constructed by attaching a bob of mass m to a string of length L fixed at its upper end. The bob oscillates in a vertical circle. It is found that the speed of the bob is v when the string makes an angle theta with the vertical. Find the tension in the string at this instant.

A simple pendulum is constructed by attaching a bob of mas m to a string of length L fixed at its upper end. The bob oscillates in a vertical circle. It is found that the speed of the bob is v when the string makes an angle theta with the vertical. Find the tension in the string at this instant.

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 bob hangs from a rigid support by an inextensible string of length l. It is released from rest when string makes an agngle 60^(@) with vertical . The speed of the bob at the lowest position 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 pendulum bob of mass m charge q is at rest with its string making an angle theta with the vertical in a uniform horizontal electric field E. The tension in the string in

A heavy & big sphere is hang with a string of length l. This sphere move in a horizontal circular path making an angle theta with vertical then its time period is

A bob of mass 1 kg is suspended from an inextensible string of length 1 m. When the string makes an angle 60^(@) with vertical, speed of the bob is 4 m/s Net acceleration of the bob at this instant is