A 5 kg collar is attached to a spring of spring constant 500`Nm^(-1)` . It slides without friction over a horizontal rod. The collar is displaced from its equilibrium position by 10 cm and released. Calculate (a) The period of oscillations (b) The maximum speed and (c) maximum acceleration of the collar.

Explanation

To solve the problem step by step, we will calculate the period of oscillation, maximum speed, and maximum acceleration of the collar attached to the spring.

### Given Data:
- Mass of the collar, \( m = 5 \, \text{kg} \)
- Spring constant, \( k = 500 \, \text{N/m} \)
- Displacement from equilibrium (amplitude), \( A = 10 \, \text{cm} = 0.1 \, \text{m} \)

### (a) Calculate the Period of Oscillation
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