### Problem Statement:The 2.8-kg collar is released from rest at A and slides down the inclined fixed rod in the vertical plane. The coefficient of kinetic friction is 0.62. Calculate (a) the velocity \(v\) of the collar as it strikes the spring and (b) the maximum deflection \(x\) of the spring.### Diagram Description:The diagram illustrates a collar with a mass of 2.8 kg situated at point A. The collar slides down an inclined rod which is fixed in the vertical plane. Key details in the diagram include:- An inclination angle of the rod at 59°.- A compressed spring at the bottom with a spring constant \(k = 3.4 \text{kN/m}\).- A horizontal distance of 0.68 m from point A to the spring.- The coefficient of kinetic friction \( \mu_k = 0.62 \).### Answers:(a) \( v = 2.6786 \, \text{m/s} \)(b) \( x = 0.066 \, \text{mm} \)### Notes:The velocity and deflection results are calculated to determine the dynamics of the collar as it interacts with the inclined plane and the spring. The frictional force plays a significant role in the calculation of the velocity as it reaches the spring.

(a) To find: The velocity v of the collar as it strikes the spring. Given: The mass of collar is…

The 2.8-kg collar is released from rest at A and slides down the inclined fixed rod in the vertical plane. The coefficient of kinetic friction is 0.62. Calculate (a) the velocity v of the collar as it strikes the spring and (b) the maximum deflection x of the spring. 2.8 kg H=0.62 Answers: (a) v = (b) x = 59 0.68 m 2.6786 i 0.066 k 3.4 kN/m m/s mm

The 2.8-kg collar is released from rest at A and slides down the inclined fixed rod in the vertical plane. The coefficient of kinetic friction is 0.62. Calculate (a) the velocity v of the collar as it strikes the spring and (b) the maximum deflection x of the spring. 2.8 kg H=0.62 Answers: (a) v = (b) x = 59 0.68 m 2.6786 i 0.066 k 3.4 kN/m m/s mm

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

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Conservation of Energy

In physics, the rule of the conservation of energy states that energy doesn’t disappear from the atmosphere; instead, it changes its form from one type to another. Energy is one of the most important physical quantities in nature, and it cannot be created or destroyed — only transformed.

Question

### Problem Statement:

The 2.8-kg collar is released from rest at A and slides down the inclined fixed rod in the vertical plane. The coefficient of kinetic friction is 0.62. Calculate (a) the velocity \(v\) of the collar as it strikes the spring and (b) the maximum deflection \(x\) of the spring.

### Diagram Description:

The diagram illustrates a collar with a mass of 2.8 kg situated at point A. The collar slides down an inclined rod which is fixed in the vertical plane. Key details in the diagram include:
- An inclination angle of the rod at 59°.
- A compressed spring at the bottom with a spring constant \(k = 3.4 \text{kN/m}\).
- A horizontal distance of 0.68 m from point A to the spring.
- The coefficient of kinetic friction \( \mu_k = 0.62 \).

### Answers:

(a) \( v = 2.6786 \, \text{m/s} \)

(b) \( x = 0.066 \, \text{mm} \)
### Notes:

The velocity and deflection results are calculated to determine the dynamics of the collar as it interacts with the inclined plane and the spring. The frictional force plays a significant role in the calculation of the velocity as it reaches the spring.

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