P14 Considering an undamped, forced oscillator (b = 0), show that Equation 15.35 is a solution of Equation 15.34 with an amplitude given by Equation 15.36. Equation 15.34: Fo sin(wt) – b – kæ = m d2x dt2 Equation 15.35: x = A cos(wt + o) () Fo m Equation 15.36: A = bw m

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Forced undamped vibrations

In mechanical engineering, vibration is expressed as the term that occurs due to an object's backward and forward movement about a point of equilibrium. Generally, there are three types of vibrations which are,