Spring Block System

Rarely Tested

Spring Block System

### Spring Force

$$F=-kx$$

### Potential Energy Stored

$$U=\frac{1}{2}kx^2$$

### Maximum Velocity

$$v_{max}=A\omega$$

### Terminologies

- k β†’ Spring constant.

- x β†’ Displacement.

- A β†’ Amplitude.

- Ο‰ β†’ Angular frequency.

### Conditions / Special Cases

At maximum displacement:

$$v=0$$

At mean position:

$$v=v_{max}$$

### Usage

- Used in oscillation and energy problems.

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