**Problem Statement:**The 3.0-kg collar is released from rest at point A and slides down the inclined fixed rod in the vertical plane. The coefficient of kinetic friction (\(\mu_k\)) is 0.38. Calculate (a) the velocity \(v\) of the collar as it strikes the spring and (b) the maximum deflection \(x\) of the spring.**Diagram Explanation:**- The diagram shows a 3.0 kg collar at position A at the top of an inclined rod.- The length of the rod is 0.45 meters.- The coefficient of kinetic friction (\(\mu_k\)) is specified as 0.38.- The angle of inclination is 56 degrees.- At the bottom of the rod, there is a spring with a spring constant \(k\) of 3.7 kN/m.**Given Data:**1. Mass of the collar, \(m\): 3.0 kg2. Length of the inclined rod, \(L\): 0.45 m3. Coefficient of kinetic friction, \(\mu_k\): 0.384. Angle of inclination: 56 degrees5. Spring constant, \(k\): 3.7 kN/m**Answers:**(a) The velocity \(v\) of the collar as it strikes the spring is 2.353 m/s.(b) The maximum deflection \(x\) of the spring is 73.34 mm.

Answer: v = 2.333 m/s x = 71.52 mm

The 3.0-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 0.38. Calculate (a) the velocity v of the collar as it strikes the spring and (b) the maximum deflection x of the spring. 3.0 kg H=0.38 Answers: (a) V= (b) x = 56 0 2.353 0.45 m 73.34 k= 3.7 kN/m m/s mm

The 3.0-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 0.38. Calculate (a) the velocity v of the collar as it strikes the spring and (b) the maximum deflection x of the spring. 3.0 kg H=0.38 Answers: (a) V= (b) x = 56 0 2.353 0.45 m 73.34 k= 3.7 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 3.0-kg collar is released from rest at point A and slides down the inclined fixed rod in the vertical plane. The coefficient of kinetic friction (\(\mu_k\)) is 0.38. Calculate (a) the velocity \(v\) of the collar as it strikes the spring and (b) the maximum deflection \(x\) of the spring.

**Diagram Explanation:**

- The diagram shows a 3.0 kg collar at position A at the top of an inclined rod.
- The length of the rod is 0.45 meters.
- The coefficient of kinetic friction (\(\mu_k\)) is specified as 0.38.
- The angle of inclination is 56 degrees.
- At the bottom of the rod, there is a spring with a spring constant \(k\) of 3.7 kN/m.

**Given Data:**

1. Mass of the collar, \(m\): 3.0 kg
2. Length of the inclined rod, \(L\): 0.45 m
3. Coefficient of kinetic friction, \(\mu_k\): 0.38
4. Angle of inclination: 56 degrees
5. Spring constant, \(k\): 3.7 kN/m

**Answers:**

(a) The velocity \(v\) of the collar as it strikes the spring is 2.353 m/s.

(b) The maximum deflection \(x\) of the spring is 73.34 mm.

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