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What is the total distance travelled by a body executing SHM in a time equal to its time period, if its amplitude is A?

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To find the total distance travelled by a body executing Simple Harmonic Motion (SHM) in a time equal to its time period (T), given that its amplitude is A, we can follow these steps: ### Step-by-Step Solution: 1. **Understanding SHM**: In SHM, the body oscillates back and forth around a mean position. The maximum displacement from the mean position is called the amplitude (A). 2. **Movement in One Cycle**: During one complete cycle (which takes time T), the body moves from the mean position to the maximum positive amplitude (A), then back to the mean position, then to the maximum negative amplitude (-A), and finally back to the mean position again. ...
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