3. The 7.5 kg mass shown is vibrating freely with the following spring attached to it. If the required period of vibration is 0.35s, determine (a) the value of the spring stiffness constant R and (b) the vibration response with initial displacement and velocity of 5cm and 24 cm/s, respectively

3. The 7.5 kg mass shown is vibrating freely with the following spring attached to it. If the required period of vibration is 0.35s, determine (a) the value of the spring stiffness constant R and (b) the vibration response with initial displacement and velocity of 5cm and 24 cm/s, respectively

Refrigeration and Air Conditioning Technology (MindTap Course List)

8th Edition

ISBN:9781305578296

Author:John Tomczyk, Eugene Silberstein, Bill Whitman, Bill Johnson

Publisher:John Tomczyk, Eugene Silberstein, Bill Whitman, Bill Johnson

Chapter1: Heat, Temperature, And Pressure

Section: Chapter Questions

Problem 17RQ: Convert 22C to Fahrenheit.

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Concept explainers

Forced undamped vibrations

In mechanical engineering, vibration is expressed as the term that occurs due to an object's backward and forward movement about a point of equilibrium. Generally, there are three types of vibrations which are,

Question

3. The 7.5 kg mass shown is vibrating freely with the following spring attached to it. If the required period of vibration is 0.35s,
determine (a) the value of the spring stiffness constant R and (b) the vibration response with initial displacement and velocity of 5cm
and 24 cm/s, respectively

Answer: a. R =
b. x(t) = .
R
5 kN/m
2R
ww
wwww
m
1.5 kN/m

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