practice problem 2.1: need help with what my A and phase angle would be for expression 7 0 and vo> 0. At some timet= to > 0, a short-lived impulse J is applied to the mass. Recognizingthat mu = k,...


practice problem 2.1:  need help with what my A and phase angle would be for expression 7


with extension x 0 at equilibrium. At time t = 0 the mass is already moving: we have positive constants<br>Xo > 0 and vo> 0. At some timet= to > 0, a short-lived impulse J is applied to the mass. Recognizing<br>that mu = k, the motion of the mass thus satisfies<br>J<br>-6 (t - to)<br>+w2<br>(6)<br>dt2<br>m<br>2.1. Use the Laplace Transform approach to show that the position function of the mass at time t > to is<br>given by the expression<br>sin [w (t - to)] + A sin [wt+ ;<br>r(t) =<br>mw<br>(t > to)<br>(7)<br>(with A > 0), and produce expressions for A, in terms of the initial conditions and other quantities<br>given in the question.<br>1: C<br>aroccion (7 t1a<br>aaasib<br>wootion of tho<br>

Extracted text: with extension x 0 at equilibrium. At time t = 0 the mass is already moving: we have positive constants Xo > 0 and vo> 0. At some timet= to > 0, a short-lived impulse J is applied to the mass. Recognizing that mu = k, the motion of the mass thus satisfies J -6 (t - to) +w2 (6) dt2 m 2.1. Use the Laplace Transform approach to show that the position function of the mass at time t > to is given by the expression sin [w (t - to)] + A sin [wt+ ; r(t) = mw (t > to) (7) (with A > 0), and produce expressions for A, in terms of the initial conditions and other quantities given in the question. 1: C aroccion (7 t1a aaasib wootion of tho

Jun 04, 2022
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