MyQuestionIcon

13

You visited us 13 times! Enjoying our articles? Unlock Full Access!

Time Period Independent of Amplitude

A simple harm...

Question

A simple harmonic motion of amplitude A has a time period T. The acceleration of the oscillator when its displacement is half the amplitude is

A

No worries! We‘ve got your back. Try BYJU‘S free classes today!

B

No worries! We‘ve got your back. Try BYJU‘S free classes today!

C

-

No worries! We‘ve got your back. Try BYJU‘S free classes today!

D

-

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

Open in App

Solution

The correct option is D -
Acceleration = $- ω^{2} x = - {(\frac{2 π}{T})}^{2} \times \frac{A}{2} = - \frac{2 π^{2} A}{T^{2}}$ which is choice (d).

Suggest Corrections

thumbs-up

8

Similar questions

Q. A simple harmonic oscillator starts from extreme position and covers a displacement half of its amplitude in a time '

t

', the further time taken by it to reach mean position is

Q. Consider a simple harmonic motion of time period T. calculate the time taken for the displacement to change value from half amplitude to the amplitude.

Q. A body executing linear simple harmonic motion has a velocity of

3 c m / s

, when its displacement is

4 c m

and a velocity of

4 c m / s

, when its displacement is

3 c m

. What is the amplitude of oscillation?

Q. A particle is executing linear simple harmonic motion of amplitude A. What fraction of the total energy is kinetic when the displacement is half the amplitude?

Q. The periodic time of a particle doing simple harmonic motion is

4

s. The time taken for it to go from its mean position to half the maximum displacement (amplitude) is.

View More

Join BYJU'S Learning Program

similar_icon

Related Videos

lock

Simple Harmonic Oscillation

PHYSICS

Watch in App

explore_more_icon

Explore more

Time Period Independent of Amplitude

Standard XII Physics

Join BYJU'S Learning Program

CrossIcon