1. The spring is unstretched when s =1 m and the 15-kg block is released from rest at this position. Determine the speed of the block when s = 3 m . The spring remains horizontal during the motion, and the contact surfaces between the block and the inclined plane are smooth.

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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The problem statement is as follows:

The spring is unstretched when \( s = 1 \, \text{m} \) and the \( 15 \, \text{kg} \) block is released from rest at this position. Determine the speed of the block when \( s = 3 \, \text{m} \). The spring remains horizontal during the motion, and the contact surfaces between the block and the inclined plane are smooth.

There is an accompanying diagram:

- A block labeled "A" is placed on an inclined plane with a 30° angle.
- A spring with a spring constant \( k = 75 \, \text{N/m} \) is attached to the block.
- The distance \( s \) measures the length of the spring as the block moves down the incline.
- Initially, \( s = 1 \, \text{m} \) when the spring is unstretched, and it changes to \( s = 3 \, \text{m} \) as the block moves.

The setup illustrates the starting position and the motion of the block under the influence of the spring force and gravity, with no friction due to the smooth surfaces.
Transcribed Image Text:The problem statement is as follows: The spring is unstretched when \( s = 1 \, \text{m} \) and the \( 15 \, \text{kg} \) block is released from rest at this position. Determine the speed of the block when \( s = 3 \, \text{m} \). The spring remains horizontal during the motion, and the contact surfaces between the block and the inclined plane are smooth. There is an accompanying diagram: - A block labeled "A" is placed on an inclined plane with a 30° angle. - A spring with a spring constant \( k = 75 \, \text{N/m} \) is attached to the block. - The distance \( s \) measures the length of the spring as the block moves down the incline. - Initially, \( s = 1 \, \text{m} \) when the spring is unstretched, and it changes to \( s = 3 \, \text{m} \) as the block moves. The setup illustrates the starting position and the motion of the block under the influence of the spring force and gravity, with no friction due to the smooth surfaces.
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