1) A2 Kg block is hanging on a frictionless inclined plane attached to a spring with a spring constantk = 150 N/m. The spring is massless and it has an un-stretched length of 65 cm. a) If the spring is stretched and set in SHM: i) What is the frequency of the motion? ii) What is the period of the motion? b) What is the equilibrium point of the block from the top of the inclined plane? 30°

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### Problem Statement

1) A 2 kg block is hanging on a frictionless inclined plane attached to a spring with a spring constant \( k = 150 \, \text{N/m} \). The spring is massless and has an unstretched length of 65 cm.

#### Questions:
a) If the spring is stretched and set in Simple Harmonic Motion (SHM):
   i) What is the frequency of the motion?
   ii) What is the period of the motion?

b) What is the equilibrium point of the block from the top of the inclined plane?

### Diagram Explanation

The diagram illustrates a block on a frictionless inclined plane. A spring is attached to the block on one end and a fixed surface on the other. The block and spring system is aligned with the incline, which is at a \(30^\circ\) angle.

- The block is represented as a solid blue rectangle.
- The spring is depicted as a series of loops connected to the block.
- The inclined plane is shown as a slanted line with a \(30^\circ\) angle indicated at the base.

This setup is used to analyze the motion of the block under the influence of the spring force when displaced from equilibrium.
Transcribed Image Text:### Problem Statement 1) A 2 kg block is hanging on a frictionless inclined plane attached to a spring with a spring constant \( k = 150 \, \text{N/m} \). The spring is massless and has an unstretched length of 65 cm. #### Questions: a) If the spring is stretched and set in Simple Harmonic Motion (SHM): i) What is the frequency of the motion? ii) What is the period of the motion? b) What is the equilibrium point of the block from the top of the inclined plane? ### Diagram Explanation The diagram illustrates a block on a frictionless inclined plane. A spring is attached to the block on one end and a fixed surface on the other. The block and spring system is aligned with the incline, which is at a \(30^\circ\) angle. - The block is represented as a solid blue rectangle. - The spring is depicted as a series of loops connected to the block. - The inclined plane is shown as a slanted line with a \(30^\circ\) angle indicated at the base. This setup is used to analyze the motion of the block under the influence of the spring force when displaced from equilibrium.
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