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The 9-kg uniform rod AB is attached to springs at A and B, each of constant 850 N/m, which can act in tension or compression. If the end A of the rod is depressed slightly and released, determine (a)...

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The 9-kg uniform rod AB is attached to springs at A and B, each of constant 850 N/m, which can act in tension or compression. If the end A of the rod is depressed slightly and released, determine
(a) The frequency of vibration,
(b) The amplitude of the angular motion of the rod, knowing that the maximum velocity of point A is 1.1mm/s.

Answered Same Day Dec 24, 2021

Solution

David answered on Dec 24 2021
121 Votes
Principles Used:
Free Body diagram
Equations of motion
Let us draw the free body diagram to determine the spring stiffness from the equations of motion
Step 2:
Next We can draw the Resultant Momentums
Step 3:The equations of motion are given as
Step 4:
According to the concept of small...
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