Spring Combination

Spring Combination

## Springs in Series

### Formula

$$\frac{1}{k_{eq}}=\frac{1}{k_1}+\frac{1}{k_2}+...$$

For two springs:

$$k_{eq}=\frac{k_1k_2}{k_1+k_2}$$

### Terminologies

- keq → Equivalent spring constant.

- k₁, k₂ → Spring constants.

### Conditions / Special Cases

For identical springs:

$$k_{eq}=\frac{k}{n}$$

### Usage

- Used in spring-block systems.

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## Springs in Parallel

### Formula

$$k_{eq}=k_1+k_2+...$$

For identical springs:

$$k_{eq}=nk$$

### Conditions / Special Cases

- Extension of all springs remains same.

### Usage

- Used in combined spring systems.