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yes a bouncing ball is an example of SHM

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Q: Is bouncing ball an example of simple harmonic motion?

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It is not an example of a simple harmonic motion. For a simple harmonic motion, the equilibrium point must be in the middle of the applitude. The object must oscillate about equalibrium point.

because its motion is done repeatedly

The motion of the simple pendulum will be in simple harmonic if it is in oscillation.

Did you mean harmonic motion? Harmonic motion is periodic motion controlled by a force that delays movement in proportion to the amount of displacement that comes from an balanced position. An example with be a pendulum that swings back and forth.

No. "Simple harmonic motion" is motion in a single dimension; it can be represented as the projection of a uniform circular motion.

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It is not an example of a simple harmonic motion. For a simple harmonic motion, the equilibrium point must be in the middle of the applitude. The object must oscillate about equalibrium point.

what is difference between simple harmonic motion and vibratory motion?

A body undergoes simple harmonic motion if the acceleration of the particle is proportional to the displacement of the particle from the mean position and the acceleration is always directed towards that mean. Provided the amplitude is small, a swing is an example of simple harmonic motion.

because its motion is done repeatedly

Simple Harmonic motion is circular motion. Look at a graph showing simple harmonic motion... you'll see it.

because we see that in simple harmonic motion there are trignometric function from which we can define its equation of motion. now we know that these function are periodically but bounded to some conditions that's why all periodic function can not be simple harmonic motions.

A simple pendulum exhibits simple harmonic motion

A simple pendulum undergoes simple harmonic motion only for small amplitudes because for small amplitudes the motion almost reduces to a straight line motion. Simple harmonic motion means motion on a straight not on curves

Simple harmonic motion

by using the formula we will calculat time period of simple harmonic motion

The motion of the simple pendulum will be in simple harmonic if it is in oscillation.

simple harmonic motion (SHM) the two summits of motion are an example