Home
Class 11
PHYSICS
A pendulum is hung in a very high buildi...

A pendulum is hung in a very high building and is moving freely to and fro like a simple harmonic oscillator. If the acceleration of the bob is `16 ms^(-1)` at a distance of 4 m from the mean position, then the time period is

A

2s

B

1s

C

`2pis`

D

`pis`

Text Solution

Verified by Experts

The correct Answer is:
D
Acceleration, `a=16m//s^(2)`
displacement, `y=4m`
According to SHM,
`a=omega^(2)y`
`omega^(2)=(16)/(4)=4`
`therefore omega=2rad//s`
Time period, `T=(2pi)/(omega)=(2pi)/(2)`
`T=pisec`
Promotional Banner

Topper's Solved these Questions

  • OSCILLATIONS

    FULL MARKS|Exercise TEXTUAL EVALUATION SOLVED ( II SHORT ANSWER QUESTION )|15 Videos

  • OSCILLATIONS

    FULL MARKS|Exercise TEXTUAL EVALUATION SOLVED ( III LONG ANSWER QUESTIONS )|10 Videos

  • OSCILLATIONS

    FULL MARKS|Exercise ADDITIONAL QUESTIONS SOLVED (IV NUMERICAL PROBLEMS )|10 Videos

  • NATURE OF PHYSICAL WORLD AND MEASUREMENT

    FULL MARKS|Exercise ADDITIONAL QUESTIONS SOLVED ( SHORT ANSWER QUESTIONS (2 MARK))|20 Videos

  • PROPERTIES OF MATTER

    FULL MARKS|Exercise Additional Questions Solved - Numerical Questions|19 Videos

Similar Questions

Explore conceptually related problems

A pendulum is hung from the roof of a sufficiently high building and is moving freely to and fro like a simple harmonic oscillator. The acceleration of the bob of the pendulum is 20ms^(-2) at a distance of 5 m from the mean position. To find the time period of oscillation.

The acceleration of a particle performing S.H.M. is 12 cm/ s^(2) at a distance of 3 cm from the mean position. Its time period is _____ .

A particle executes a simple harmonic motion of time period T. Find the time taken by the particle to go directly from its mean position to half the amplitude.

A simple pendulum is suspended from the ceiling a car accelerating uniformly on a horizontal road. If the acceleration is a_0 and the length of the pendulum is l, find the time period of small oscillations about the mean position.

A bob of mass 0.1 kg hung from the ceiling of room by a string 2 m long is oscillating. At its mean position the speed of a bob is 1 ms^(-1) . What is the trajectory of the oscillating bob if the string is cut when the bob is (i) At the mean position (ii) At its extreme position.