Derive the equation of motion and find the steady-state response of the system shown in Fig.for rotational motion about the hinge O for the following data: ki = k2a = 0.25 m, b = 0.5 m, 1 = 1 m, M == 5000 N/m,1000 rpm.50 kg, m = 10 kg, Fo= 500 N, w =0,(t) = 0 sin wt with O = -8.5718 X 10-4 rad and w = 104.72 rad/secF(t) = Fo sin wtUniform rigid bar, mass mk2M

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Engineering

Mechanical Engineering

Derive the equation of motion and find the steady-state response of the systems

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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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

Derive the equation of motion and find the steady-state response of the system shown in Fig.
for rotational motion about the hinge O for the following data: ki = k2
a = 0.25 m, b = 0.5 m, 1 = 1 m, M =
= 5000 N/m,
1000 rpm.
50 kg, m = 10 kg, Fo
= 500 N, w =
0,(t) = 0 sin wt with O = -8.5718 X 10-4 rad and w = 104.72 rad/sec
F(t) = Fo sin wt
Uniform rigid bar, mass m
k2
M

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