Question

Among the following, which are examples of simple harmonic motion?
i. The rotation of the earth about its axis.
ii. Vertical oscillations of a loaded spring.
iii. Oscillations of a simple pendulum.
iv. Uniform circular motion​

Answer 1

Answer:

oscillation of a simple pendulum

Answer 2

Answer:

Examples of simple harmonic motions are Vertical oscillations of a loaded spring and Oscillations of a simple pendulum.i.e.option(ii) and (iii).

Explanation:

Simple harmonic motion-  is defined as a motion in which the restoring force is directly proportional to the displacement of the body from its mean or equilibrium position. The direction of this restoring force is always towards the mean position.

                                $F\propto -x$     (1)        (-ve because it tries to come back to its mean position)

Where,

F=restoring force

x=mean position

Let's analyze the options one by one.

(i) The rotation of the earth about its axis-it is an example of rotational motion.

(ii)Vertical oscillation of a loaded spring- it is an example of simple harmonic motion as the spring tends to come back to its equilibrium position.

(iii) Oscillation of a simple pendulum-it an example of simple harmonic motion as the pendulum tends to come back to its mean position.

(iv) Uniform circular motion- it is an example of a simple uniform motion of kinematics.

Hence, Examples of simple harmonic motions are Vertical oscillations of a loaded spring and Oscillations of a simple pendulum.i.e.option(ii) and (iii).

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