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
Grade: 12th pass

                        

what do you know about mean lifetime of an un-damped harmonic oscillator and damped harmonic oscillator

what do you know about mean lifetime of an un-damped harmonic oscillator and damped harmonic oscillator
 

7 months ago

Answers : (1)

Saurabh Koranglekar
askIITians Faculty
10341 Points
							Damping causesoscillatory systems to dissipate energy to their surroundings. Frictional losses are quite common in mechanicalsystemsand result in damped simple harmonic motion. For example, when a child stops pumping a swing, the amplitude of the oscillations gradually decay toward zero. The same thing happens to a mass that hangs from an oscillatingspring. It is quite common for the amplitude of such oscillations to exhibit a behavior that is negative exponential over time, as shown in Figure 1. The graphindicates that if we take the amplitude at time t=0 to be 1, then the amplitude at time t=1 is 1/e (0.37) of its value at time t=0. In other words, the amplitude decrease by 37% of its current value every 1 unit of time. For example, at time t=2, the amplitude would be 0.37 x 0.37 = 0.137 arbitrary units. At time t=3, the amplitude would be 0.137 x 0.37 = 0.05 arbitrary units. The time intervalτduring which the amplitude drops to 1/e of its initial value is known as mean lifetime of the oscillation.

576-1631_ssa.PNG
7 months ago
Think You Can Provide A Better Answer ?
Answer & Earn Cool Goodies


Course Features

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


Course Features

  • 110 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
 
 
Answer ‘n’ Earn
Attractive Gift
Vouchers
To Win!!! Click Here for details