Back to Course

SS2: PHYSICS - 1ST TERM

0% Complete
0/0 Steps
  1. Scalars & Vectors | Week 1
    5 Topics
    |
    1 Quiz
  2. Equations of Motion | Week 2
    3 Topics
    |
    1 Quiz
  3. Projectile | Week 3
    5 Topics
    |
    1 Quiz
  4. Equilibrium of Forces I | Week 4
    4 Topics
  5. Equilibrium of Forces II | Week 5
    4 Topics
    |
    1 Quiz
  6. Stability of a Body | Week 6
    4 Topics
    |
    1 Quiz
  7. Simple Harmonic Motion (SHM) | Week 7
    4 Topics
  8. Speed, Velocity & Acceleration & Energy of Simple Harmonic Motion | Week 8
    5 Topics
    |
    1 Quiz
  9. Linear Momentum | Week 9
    6 Topics
    |
    1 Quiz



Lesson Progress
0% Complete

Topic Content:

  • Simple Harmonic Motion and Uniform Circular Motion
  • Equation of Displacement of the Particle
  • Movement of the Particle

Remember: A particle is said to be in Simple Harmonic Motion if it moves to and fro about its mean position, such that, its acceleration is directly proportional to displacement in magnitude but opposite in direction and is always directed towards the mean position.

Consider a particle P moving around a reference circle with the centre, O, radius, A = OZ = OY, and uniform angular velocity, ω, in an anti-clockwise direction.

Simple harmonic motion from circular motion
Simple harmonic motion from circular motion.

BD and YZ are the diameters of the circle.

The angular velocity, ω, is related to the speed v of particle, P, by the equation:

v = ωA

Let Q be the projection of P on the diameter YZ. (This is a perpendicular line from P to YZ)

As the particle moves on the circumference of the circle, Q moves to and fro about a fixed point along the diameter YZ. It moves with a maximum speed as it passes through O the centre of diameter YZ, and is momentarily at rest at Y and Z.

SHM

While the particle P moves around the circle with a constant velocity v, the motion of Q along the diameter is therefore said to be simple harmonic motion.

Equation of Displacement of the Particle:

 

You are viewing an excerpt of this Topic. Subscribe Now to get Full Access to ALL this Subject's Topics and Quizzes for this Term!

Click on the button "Subscribe Now" below for Full Access!

Subscribe Now

Note: If you have Already Subscribed and you are seeing this message, it means you are logged out. Please Log In using the Login Button Below to Carry on Studying!

avatar

Responses

Your email address will not be published. Required fields are marked *

error: Alert: Content selection is disabled!!