Acceleration in SHM

Rarely Tested

Acceleration in SHM

### Formula

$$a=\frac{d^2x}{dt^2}$$

### SHM Relation

$$a=-\omega^2x$$

### Maximum Acceleration

$$a_{max}=A\omega^2$$

### Terminologies

- a β†’ Acceleration.

- Ο‰ β†’ Angular frequency.

- x β†’ Displacement.

### Conditions / Special Cases

At mean position:

$$a=0$$

At extreme position:

$$a=a_{max}$$

### Usage

- Used in force and acceleration calculations.

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