A uniform rigid bar of length L and mass m is pinned at one end and restrained by a spring as shown in figure. One end of the bas is subjected to a harmonic force F(t) = Focosωt. Determine the angular amplitude of the steady state response, neglecting the self weight of the rod in the rotational equilibrium. (Hint1: the moment of inertia of the rigid bar is mL2/3; Hint2: the expression for displacement dynamic amplification factor Rd is the same for sin and cos forcing functions).

A uniform rigid bar of length L and mass m is pinned at one end and restrained by a spring as shown in figure. One end of the bas is subjected to a harmonic force F(t) = Focosωt. Determine the angular amplitude of the steady state response, neglecting the self weight of the rod in the rotational equilibrium. (Hint1: the moment of inertia of the rigid bar is mL2/3; Hint2: the expression for displacement dynamic amplification factor Rd is the same for sin and cos forcing functions).

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

Chapter29: Troubleshooting And Typical Operating Conditions For Commercial refrigeration

Section: Chapter Questions

Problem 16RQ

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Concept explainers

Free undamped vibrations

Whenever an object/system displaces in either side of its equilibrium position with the help of an external/internal means, then the object/system moves regularly or randomly on both sides of its equilibrium position. This motion is called vibration. Generally, there are three types of vibration: longitudinal vibration, transverse vibration, and torsional vibration.

Question

A uniform rigid bar of length L and mass m is pinned at one end and restrained by a spring as
shown in figure. One end of the bas is subjected to a harmonic force F(t) = Focosωt. Determine
the angular amplitude of the steady state response, neglecting the self weight of the rod in the
rotational equilibrium. (Hint1: the moment of inertia of the rigid bar is mL2/3; Hint2: the
expression for displacement dynamic amplification factor Rd is the same for sin and cos forcing
functions).

4
www
F(t) = Fo coswt
k
L/3
m
C
Rigid
2L/3
In

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