Question

In: Physics

The position x of an object varies with time t. For which of the following equations...

The position x of an object varies with time t. For which of the following equations relating x and t is the motion of the object simple harmonic motion? (There may be more than one correct choice.)

The position x of an object varies with time t. For which of the following equations relating x and t is the motion of the object simple harmonic motion? (There may be more than one correct choice.)

x = 5 sin23t
x = 5 sin 3t
x = 4 tan 2t
x = 2 cos(3t - 1)
x = 8 cos 3t

Solutions

Expert Solution

Answer : the following equations relating x and t is the motion of the object simple harmonic motion :

  • x = 5 sin 3t
  • x = 2 cos(3t - 1)
  • x = 8 cos 3t

The position of an object varies sinusoidally in simple harmonic motion. so it can be specified by sine or cosine functions.


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