Home
Class 11
PHYSICS
A simple pendulum of length 40 cm oscill...

A simple pendulum of length 40 cm oscillates with an angular amplitude of 0.04 rad. Find

Text Solution

Verified by Experts

a. The angular frequency is
`omega=sqrt(g/l) =(sqrt(10ms^-2)/(0.4m))=5s^-1`
The time period is
`(2pi)/omega=(2pi)/(5s^-1)=1.26s`
b. linear amplitude =40xmxx0.04=1.6cm`
c. Angular speed at displacement 0.02 rad is `ohm=(5s^-10sqrt((0.04)^2-(0.02)^2) rad=0.17rads^-1`
linear speed of the bob at this instant
`=(40cm)xx0.17s^-1 6.8cms^-1`
d. At momentary rest the bob is in extreme position.
thus, the angular acceleration ltbr `alpha=(0.04rad)(25s^2)=1rads^-2
Promotional Banner

Similar Questions

Explore conceptually related problems

A simple pendulum of length 1m is allowed to oscillate with amplitude 2^(@) . it collides at T to the vertical its time period will be (use g = pi^(2) )

If a simple pendulum oscillates with an amplitude of 50 mm and time period of 2s, then its maximum velocity is………..

A simple pendulum perform simple harmonic motion about x=0 with an amplitude A and time period T. The speed of the pendulum at x= (A)/(2) 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 has a length L and a bob of mass m. The bob is oscillating with amplitude A. Show that the maximum tension (T) in the string is (for small angular displacement). T_("max") =mg [1+(A/L)^(2)] .

A simple pendulum with a bob of mass m oscillates from A to C and back to such that PB is H. If the acceleration due to gravity is g, then the velocity of the bob as it passes through B is………..

A simple pendulum of length l and having a bob of mass M is suspended ina car. The car is moving on a circular track of radius R with a uniform speed v. If the pendulum makes small oscillations in a radial direction about its equilibrium, what will be its time period ?

Two simple pendulums of equal length cross each other at mean position. What is their phase difference?

A simple pendulum of length l and having a bob of mass M is suspended in a car. The car is moving on a circular track of radius R with a uniform speed v. If the pendulum makes small oscillations in a radial direction about its equilibrium position, what will be its time period ?