GATE ME 2018 Set 1 — Question 50
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Theory of Machines & Vibrations → Forced Vibration → Magnification & Transmissibility
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Question
A machine of mass kg is supported on two mounts, each of stiffness kN/m. The machine is subjected to an external force (in N) . Assuming only vertical translatory motion, the magnitude of the dynamic force (in N) transmitted from each mount to the ground is ______ (correct to two decimal places).
Correct answer
33 to 33.5
Solution
Given:
Mass of machine, kg
Stiffness of each mount, kN/m N/m
Total stiffness, N/m
External force, N, rad/s
Mass of machine, kg
Stiffness of each mount, kN/m N/m
Total stiffness, N/m
External force, N, rad/s
1.Calculate natural frequency:
rad/s2.Calculate frequency ratio:
3.Calculate Transmissibility Ratio () assuming zero damping ():
4.Calculate total dynamic force transmitted to the ground:
N5.Force transmitted from each mount:
NRounding to two decimal places, the magnitude is 33.33 N.Continue learning with Success Tracker
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