Show that the differential equation of motion for the bar

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Reference no: EM131285518

The 12-kg uniform bar AOB is pinned to the carriage at O. The bar is at rest in the vertical position at t = 0 when the harmonic displacement y(t) = Y sin pt is imposed on the carriage, where p is the resonant frequency for small amplitudes and Y = 10 mm.

(a) Show that the differential equation of motion for the bar is

(b) Integrate the equation of motion numerically from t = 0 to t = 50 s, and plot θ versus t.

Reference no: EM131285518

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