SEMESTER - 2 CHAPTER 1 SIMPLE HARMONIC MOTION

EXAMPLES OF SHM  ,DEFINITION
https://www.youtube.com/watch?v=XjyOYluqnDM

QB.1)Which of the following graphs represents the acceleration(a) versus displacement (x) of a body in SHM?

 

Video on introduction to SHM 

https://www.khanacademy.org/science/physics/mechanical-waves-and-sound/simple-harmonic-motion-with-calculus/v/harmonic-motion-part-3-no-calculus 

https://www.khanacademy.org/science/physics/mechanical-waves-and-sound/simple-harmonic-motion-with-calculus/v/introduction-to-harmonic-motion

VIDEO for PHASE CONSTANT
https://www.khanacademy.org/science/physics/mechanical-waves-and-sound/harmonic-motion/v/phase-constant

x-t graph of SHM if the object starts from mean position

 

X = A sin ωt                                                  x= displacement

A= amplitude   

ω=angular frequency = 2πf

x-t graph of SHM if the object starts from extreme position

X = A cos ωt                                                  x= displacement

A= amplitude   

ω=angular frequency = 2πf

http://www.acoustics.salford.ac.uk/feschools/waves/shm.php

 

 QB 8

 A 4kg mass is attached to a spring moving with SHM between two points A and B.Time period is 24 s.
A)Find the time taken by the mass to move between  a) A to B    b)  O to C
Sol. Time period 24s
a)12s  b) 3s
B)What will be the new time period if 6kg mass is added to the same spring.
sol.

T=2π( m/k)^1/2

T1 /T2 = ( M1/M2) ^1/2

24/T2   = (4/10) ^1/2

T2 = 24 x (10/4) ^1/2  = 40s

PRACTICAL SIMPLE PENDULUM
https://www.youtube.com/watch?v=9TuDEhfOLUc&t=187s