Question

A mass on the end of a spring undergoes simple harmonic motion. At the instant when the mass is at its maximum displacement from equilibrium, what is its instantaneous velocity?A. At maximum displacement, its instantaneous velocity is less than its maximum but not zero.B. Instantaneous velocity cannot be determined without additional information.C. At maximum displacement, its instantaneous velocity is zero.D. At maximum displacement, its instantaneous velocity is also at maximum.

Answer 1

C) True. At maximum displacement, its instantaneous velocity is zero.

Step-by-step explanation:

The simple harmonic movement is given by

x = A cos wt

Speed

v = - A w sin wt

At the point of maximum displacement x = A

A = A cos wt

cos wt = 1

wt = 0

We replace the speed

v = -Aw sin 0 = A w

Speed ​​is maximum

Let's review the claims

A) False. Speed ​​is zero

B) False. It can be determined

C) True. Agree with our result

D) False. When one is maximum the other is minimum