badge image

Enroll For Free Now & Improve Your Performance.

×
User Icon
User Icon
User Icon
User Icon
User Icon

Thank you for registering.

One of our academic counsellors will contact you within 1 working day.

Please check your email for login details.
MY CART (5)

Use Coupon: CART20 and get 20% off on all online Study Material

ITEM
DETAILS
MRP
DISCOUNT
FINAL PRICE
Total Price: Rs.

There are no items in this cart.
Continue Shopping
Menu
Grade: 12th pass

                        

A simple harmonic oscillator has an amplitude A and time period T the time required by it to travel from x=A to x=A/2 is?

2 years ago

Answers : (3)

Eshan
askIITians Faculty
2095 Points
							Dear student,

Since the particle starts from x=A, the equation of motion can be written as

x=Acos\omega t
Hence forx=A/2,
A/2=Acos\omega t\implies \omega t=\dfrac{\pi}{3}
\implies t=\dfrac{\pi}{3\omega}
SinceT=\dfrac{2\pi}{\omega},
t=T/6
2 years ago
Dev Kumar
37 Points
							
You could've been answered the question with the help of concept of phaser diagram.
In this, draw a circle of radius A on a Cartesian sheet, and on y-axis mark a point A/2 on +y-axis,and at the end point of circle mark point A 
Particle shm => A----->A/2 ; can be considered as A/2---->A
Draw a line  from A/2 projecting on the circle, join the origin and projection, take angle along y-axis and mark it as μ.
Now cos μ= A/2A= 1/2 => μ=π/3 
We know that,
                           μ/t= 2π/T
=> π/3t=2π/T
=> t= T/6
one year ago
Kushagra Madhukar
askIITians Faculty
605 Points
							
Dear student,
Please find the attached solution to your problem.
 
Assume x = 0 as t = 0 and T be the period of SHM
Time taken to travel between extreme position, x = A and initial position, x = 0 is T/4
Now, x = A sin(2π/T * t)
A/2 = A sin(2π/T * t)
or, t = T/12
Hence, time taken to reach x = A/2 from x = A is
T/4 – T/12 = T/6
 
Hope it helps
Thanks and regards,
Kushagra
4 months ago
Think You Can Provide A Better Answer ?
Answer & Earn Cool Goodies


Course Features

  • 731 Video Lectures
  • Revision Notes
  • Previous Year Papers
  • Mind Map
  • Study Planner
  • NCERT Solutions
  • Discussion Forum
  • Test paper with Video Solution


Course Features

  • 731 Video Lectures
  • Revision Notes
  • Test paper with Video Solution
  • Mind Map
  • Study Planner
  • NCERT Solutions
  • Discussion Forum
  • Previous Year Exam Questions


Ask Experts

Have any Question? Ask Experts

Post Question

 
 
Answer ‘n’ Earn
Attractive Gift
Vouchers
To Win!!! Click Here for details