How do you find whether a function is simple harmonic or not?

Find the acceleration from the equation representing the displacement and try to relate. The other method is that an SHM usually involves conservation of energy. So try finding total energy. If it is constant, then look for spring like properties, which we usually find in an SHM.

What are the conditions for a motion to be simple harmonic motion?

What conditions must be met to produce SHM? The restoring force must be proportional to the displacement and act opposite to the direction of motion with no drag forces or friction. The frequency of oscillation does not depend on the amplitude.

When a particle perform simple harmonic motion then its?

Explanation: When a particle perform simple harmonic motion then its B) Velocity and acceleration change continuously . So, with change in position (i.e. displacement), the velocity and acceleration continuously change.

Which of the following does not represent the simple harmonic motion?

Simple harmonic motion is represented by a sine function or a cosine function or a linear combination of both. Hence, options (a),(b) and (c) represent simple harmonic motion while option (d) is a product of the two functions (sine and cosine) does not represent a simple harmonic motion.

Which of the following is not simple harmonic motion?

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.

When a body is performing simple harmonic motion Its acceleration is?

At the equilibrium position, the velocity is at its maximum and the acceleration (a) has fallen to zero. Simple harmonic motion is characterized by this changing acceleration that always is directed toward the equilibrium position and is proportional to the displacement from the equilibrium position.

When a body is performing SHM?

Solution: For SHM, the total energy of the body remains constant and kinetic energy of the body is maximum at mean position. Its maximum value is equal to the total oscillation energy of the body. Hence, average total energy per cycle is equal to its maximum kinetic energy of the body.

Which of the following is necessary and sufficient condition for simple harmonic motion?

In simple harmonic motion, acceleration ∝ displacement. Hence, the necessary condition for simple harmonic motion is that displacement and acceleration should be proportional.