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Evaluate differential equation of motion for oscillations

Solve the below problem:

Q: A 1.8-kg uniform rod is supported by a pin at O and a spring at A and is connected to a dashpot at B. Determine

(a) The differential equation of motion for small oscillations,

(b) The angle that the rod will form with the horizontal 2.5 s after end B has been pushed 23 mm down andreleased.

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Physics: Evaluate differential equation of motion for oscillations

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Physics: Evaluate differential equation of motion for oscillations

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