There is 100 N force acting on a 5 kg slider for 10 m as it is released from rest in position A and slides without friction in the vertical plane. It collides with a 3 kg slider and move together, determine the Maximum spring deflection. 538 RE 100 N B K= 37.5 N/cm

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
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### Problem Statement

A 100 N force acts on a 5 kg slider for 10 m as it is released from rest in position A. The slider moves without friction in the vertical plane. It collides with a 3 kg slider, and they move together. Determine the maximum spring deflection.

### Diagram Explanation

- **Slider and Force:** 
  - A 5 kg slider starts at position A and is acted upon by a 100 N force.
  - The motion covers a distance of 10 meters before colliding with a second slider.

- **Collision and Combined Motion:**
  - After the collision, the 5 kg slider joins with a 3 kg slider, resulting in combined motion.

- **Spring System:**
  - The combined sliders compress a spring.
  - The spring stiffness (k) is given as 37.5 N/cm.

- **Angles and Positions:**
  - The sliders are configured in a vertical plane and include an arc with a radius of 5 m reaching the spring.
  - An angle of 30° is noted at the spring contact point on position B.

### Objective

Calculate the maximum deflection of the spring as a result of the combined mass moving post-collision.

This problem involves principles of physics, including kinematics and energy conservation (kinetic and potential energy transformations).
Transcribed Image Text:### Problem Statement A 100 N force acts on a 5 kg slider for 10 m as it is released from rest in position A. The slider moves without friction in the vertical plane. It collides with a 3 kg slider, and they move together. Determine the maximum spring deflection. ### Diagram Explanation - **Slider and Force:** - A 5 kg slider starts at position A and is acted upon by a 100 N force. - The motion covers a distance of 10 meters before colliding with a second slider. - **Collision and Combined Motion:** - After the collision, the 5 kg slider joins with a 3 kg slider, resulting in combined motion. - **Spring System:** - The combined sliders compress a spring. - The spring stiffness (k) is given as 37.5 N/cm. - **Angles and Positions:** - The sliders are configured in a vertical plane and include an arc with a radius of 5 m reaching the spring. - An angle of 30° is noted at the spring contact point on position B. ### Objective Calculate the maximum deflection of the spring as a result of the combined mass moving post-collision. This problem involves principles of physics, including kinematics and energy conservation (kinetic and potential energy transformations).
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