Question

. If the frequency of a system undergoing simple harmonic motion doubles, by what factor does the maximum value of acceleration change

Answer 1

a1 = -w^2 A sin w t where w is the angular frequency

a2 = - (2 w)^2 A sin 2 w t where w2 = 2 w1

a2 / a1 = 4 sin 2 w t / sin w t

Since sin 2 w t / sin w t = 2 sin w t will change twice as fast

a2 / a1 = 8 the max acceleration must change 8 tims as fast