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
Chapter33: Hydronic Heat
Section: Chapter Questions
Problem 19RQ: How is expansion in hot water pipes handled?
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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).
Transcribed Image Text:4
www
F(t) = Fo coswt
k
L/3
m
C
Rigid
2L/3
In
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