Which force causes a body to move with SHM?
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Which force causes a body to move with SHM?
Simple harmonic motion is governed by a restorative force. For a spring-mass system, such as a block attached to a spring, the spring force is responsible for the oscillation (see Figure 1). Figure 1: This image shows a spring-mass system oscillating through one cycle about a central equilibrium position.
How do you prove harmonic motion?
Proving Simple Harmonic Motion
- A particle is attached to an extensible string (the tension in string, T=λxl) and the particle is pulled so that the string is extended and released from rest. As in this diagram:
- SHM is proved by a=−w2x.
- R(−>)=−T=−λxl.
- R(−>)=m(−a)
- m(−a)=−λxl.
- ma=λxl.
- a=λmlx.
What is meant by simply harmonic motion?
Thus, the motion of a body is said to be simply harmonic if the restoring force acting on it is directly proportional to the displacement from the mean position and always tends to oppose it. The direction of the restoring force is opposite to the direction of displacement.
What is the direction of restoring force in simple harmonic motion?
The direction of this restoring force is always towards the mean position. The acceleration of a particle executing simple harmonic motion is given by, a (t) = -ω 2 x (t). Here, ω is the angular velocity of the particle.
What is the expression for displacement velocity and acceleration in SHM?
The curve between displacement and velocity of a particle executing the simple harmonic motion is an ellipse. When ω = 1 then, the curve between v and x will be circular. Hence the expression for displacement, velocity and acceleration in linear simple harmonic motion are The system that executes SHM is called the harmonic oscillator.
What is the acceleration of a particle executing simple harmonic motion?
The acceleration of a particle executing simple harmonic motion is given by, a (t) = -ω 2 x (t). Here, ω is the angular velocity of the particle. Simple harmonic motion can be described as an oscillatory motion in which the acceleration of the particle at any position is directly proportional to the displacement from the mean position.