Which of the following statements is/are true for a simple harmonic oscillator ?

Options

A. (a) Force acting is directly porportional to displacement from the mean postion and opposite to it
B. Motion is peridic
C. Acceleration of the oscillator is constant
D. The velocity is periodic

Explanation

To determine which statements are true for a simple harmonic oscillator (SHO), we will analyze each option based on the principles of simple harmonic motion.

### Step-by-Step Solution:

1. **Understanding the Definition of Simple Harmonic Motion (SHM)**:
- A simple harmonic oscillator is a system that experiences restoring force proportional to the displacement from its mean position and acts in the opposite direction. The general equation for SHM can be expressed as:
\[
x(t) = A \sin(\omega t + \phi)
...