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
Section: Chapter Questions
Problem 1.1MA
icon
Related questions
Question
### 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).
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

Blurred answer
Knowledge Booster
Forced Undamped Vibrations
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.
Similar questions
Recommended textbooks for you
Elements Of Electromagnetics
Elements Of Electromagnetics
Mechanical Engineering
ISBN:
9780190698614
Author:
Sadiku, Matthew N. O.
Publisher:
Oxford University Press
Mechanics of Materials (10th Edition)
Mechanics of Materials (10th Edition)
Mechanical Engineering
ISBN:
9780134319650
Author:
Russell C. Hibbeler
Publisher:
PEARSON
Thermodynamics: An Engineering Approach
Thermodynamics: An Engineering Approach
Mechanical Engineering
ISBN:
9781259822674
Author:
Yunus A. Cengel Dr., Michael A. Boles
Publisher:
McGraw-Hill Education
Control Systems Engineering
Control Systems Engineering
Mechanical Engineering
ISBN:
9781118170519
Author:
Norman S. Nise
Publisher:
WILEY
Mechanics of Materials (MindTap Course List)
Mechanics of Materials (MindTap Course List)
Mechanical Engineering
ISBN:
9781337093347
Author:
Barry J. Goodno, James M. Gere
Publisher:
Cengage Learning
Engineering Mechanics: Statics
Engineering Mechanics: Statics
Mechanical Engineering
ISBN:
9781118807330
Author:
James L. Meriam, L. G. Kraige, J. N. Bolton
Publisher:
WILEY