Question

In a SHM, for what value of w, will the magnitude of maximum acceleration be greater than the magnitude of maximum velocity? Here, w is angular frequency.

(a) w > 1

(b) w < 1

(c) w = 0

(d) Not possible for any value of w

This question was posed to me in homework.

This key question is from Oscillations topic in section Oscillations of Physics – Class 11

Answer 1

The correct option is (a) w > 1

Explanation: Let the velocity equation of SHM be: v = Awcos(wt),                                                                     acceleration will be given by: a = -Aw^2sin(wt).                                                                                                 Maximum magnitude of vel = Aw                                                                                          Maximum magnitude of acc = Aw^2.                                                                                                                                           For, Aw^2 > Aw

w > 1.