Is every periodic motion a SHM?

Assertion : Every periodic motion is not simple harmonic motion. Reason : The motion governed by the force law. F=−kx is simple harmonic.

Which is a periodic motion but not SHM?

For example, the oscillations of the bob of simple pendulum is simple harmonic motion which is periodic also. But the revolution of earth around the sun is only periodice and not simple harmonic one, as it is not to and fro motion about a fixed point.

How do you differentiate between SHM and periodic motion?

The main difference between simple harmonic motion and periodic motion is that periodic motion refers to any type of repeated motion whereas simple harmonic motion (SHM) refers to a specific type of periodic motion where the restoring force is proportional to the displacement.

Are all periodic functions harmonic justify?

EVery Iscillatory motion is periodic but every periodic motion is not oscillatory, justify. Answer: All oscillatory motions are periodic because each oscillations gets completed in a definite interval of time. On the other hand, all periodic motions may not be oscillatory.

Which of the following functions of time represent a SHM and B periodic but not SHM?

The given function exp(-ω2t2) is an exponential function. Exponential functions do not repeat themselves. Therefore, it is a non-periodic motion.

Which oscillation is not SHM?

The motion of a planet around the sun is a periodic motion but not a simple harmonic motion. All other given motions are the examples of simple harmonic motion.

Can a motion be periodic and not Oscillation?

For example, the motion of a pendulum is both oscillatory and periodic but the motion of the wheels of a car is only periodic because the wheels rotate in a circular motion. Thus, circular motion is only periodic and not oscillatory because the wheels do not move to and fro about a mean position.

What are the two necessary factors required for a system to execute SHM?

Answer

• There must be an elastic restoring force acting on the system.
• The system must have inertia.
• The acceleration of the system should be directly proportional to its displacement and is always directed to mean position.