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If a body moves back and forth repeatedly about a mean position, it is said to possess:
A) Rotary motion
B) Projectile motion
C) Oscillatory motion
D) Reciprocating motion

Answer
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Hint: The back and forth movement of a body about a mean position referred to the movement in which the body travels backward and forward simultaneously about a mean position like a clock pendulum.

Complete step by step solution:
Let’s discuss all the said motions in the question in detail.
Rotary motion: it is the motion in which whatever moves in a circular path. Rotary motion is pivoting in a round movement on a hub or axis. Instances of this movement incorporate wheels, windmills, etc.

The capacity to give precise revolving movement is basic in a wide scope of utilizations in the computerization gear, clinical gadget, machine device, energy, welding, mechanical technology, car, aviation, semiconductor, and substantial hardware ventures, just as numerous others.

Projectile motion: Projectile motion is a type of movement experienced by a body that is extended close to the Earth's surface and moves along a bended or parabolic way under the activity of gravity as it were. This parabolic path was given by Galileo, however may likewise be a line in the extraordinary situation when it is tossed straightforwardly upwards.
Oscillatory motion: A movement repeating itself is known as periodic or oscillatory movement. An article in such a movement wavers about a balance position because of a reestablishing power or force.

In the event that a body moves back and forth repeatedly about a mean position, it is said to undergone an oscillatory movement
Reciprocating motion: Reciprocating motion likewise called reciprocation, is a tedious up and down or back and forth straight movement. It is found in a wide scope of components, including responding pumps and engines. The two inverse movements that involve a single reciprocating cycle are called strokes.

By analyzing all four types of motion, it is clear that if a body moves back and forth repeatedly about a mean position, it is said to possess an oscillatory motion.

Final answer is option (C): oscillatory motion.

Note: Oscillation is the process of swinging or moving to and fro in a steady, uninterrupted manner, and oscillatory motion is the movement created by the process. Vibrations of guitar strings, motion of a pendulum bob, vibrations of a tuning fork, and oscillations of mass suspended from a spring, vibrations of diaphragm in telephones and speaker systems and freely suspended springs are few examples of oscillatory motion.