Can a motion be oscillatory but not simple harmonic? If your answer is yes give an example and if not explain why?

Explanation

**Step-by-Step Solution:**

1. **Understanding Oscillatory Motion:**
- Oscillatory motion refers to any motion that repeats itself in a regular cycle, moving back and forth around a central point or mean position. A common example is the motion of a pendulum swinging back and forth.

2. **Defining Simple Harmonic Motion (SHM):**
- Simple Harmonic Motion is a specific type of oscillatory motion where the restoring force is directly proportional to the displacement from the mean position and acts in the opposite direction. Mathematically, this can be expressed as \( F = -ky \), where \( k \) is a constant and \( y \) is the displacement.

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