Home
Class 12
PHYSICS
A simple pendulum of length L and mass (...

A simple pendulum of length L and mass (bob) M is oscillating in a plane about a vertical line between angular lime `-phi` and `+phi`. For an angular displacement `theta(|theta|ltphi)`, the tension in the string and the velocity of the bob are T and V, respectively. The following relations hold good under the above conditions:

A

`T cos theta = Mg`

B

`T + Mg cos theta = (Mv^(2))/(L)`

C

The magnitude of tangential acceleration of the bob `|a_(T)| = g sin theta`

D

`T = Mg (3 cos theta -2 cos phi)`

Text Solution

Verified by Experts

The correct Answer is:
C, D
Promotional Banner

Similar Questions

Explore conceptually related problems

A simple pendulum of length L and mass (bob) M is oscillating in a plane about a vertical line between angular limit -phi and +phi . For an angular displacement theta(|theta|ltphi) , the tension in the string and the velocity of the bob are T and V respectively. The following relations hold good under the above conditions:

A simple pendulum of length L and mass M is oscillating about a vertical line with angular amplitude theta . If for an angular displacement phi (phi>theta) the tension in the string is T_1 and for angular amplitude theta the tension is T_2 , then

A simple pendulum of length l and mass m is initially at its lowest position. It is given the minimum horizontal speed necessary after to move in a circular path about the point of suspension. The tension in the string at the lowest positive of the bob is

A simple pendulum with a bob of mass m swings with an angular amplitude of 40^@ . When its angular displacement is 20^@ , the tension in the string is greater than mg cos 20^@ true false

A simple pendulum with a bob of mass m swings with an angular amplitude of 40^@ . When its angular displacement is 20^@ , the tension in the string is greater than mg cos 20^@

Let theta denote the angular displacement of a simple pendulum oscillating in a vertical plane. If the mass of the bob is m, the tension in the string is mg cos theta

A simple pendulum of length l has maximum angular displacement theta . Then maximum kinetic energy of a bob of mass m is

A simple pendulum of length l has a maximum angular displacement theta . The maximum kinetic energy of the bob of mass m will be

The bob of a simple pendulum of length L is released at time t = 0 from a position of small angular displacement theta _ 0 . Its linear displacement at time t is given by :

A simple pendulum of length l and bob of mass m is displaced from its equilibrium position O to a position P so that hight of P above O is h . If is then released. What is the tension in the string when the bob passes through the through the equilibrium position O ? Neglect friction. v is the velocity of the bob at O