Consider Example 22. Takin the coefficient of friction, `mu` to be `0.5,` calculate the maximum compression of the spring.

Explanation

To solve the problem of calculating the maximum compression of the spring when the coefficient of friction, \(\mu\), is \(0.5\), we will follow these steps:

### Step 1: Identify the Forces Acting on the Object
We need to consider the forces acting on the object that compresses the spring. The forces include:
- The gravitational force acting downward, \(F_g = mg\).
- The spring force acting upward when compressed, \(F_s = kx\).
- The frictional force acting opposite to the direction of motion, \(F_f = \mu mg\).

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