For the simple harmonic motion described by the trigonometric function,find the maximum displacement.? $d = \frac { 1 } { 2 } \sin 6 \pi t$ ?
A) $6$ ?
B) $\frac { 1 } { 2 }$
C) $12$ ?
D) $\frac { 1 } { 6 }$
E) $2$

Question

Quizplus · Accepted Answer

To find the maximum displacement of a simple harmonic motion described by a trigonometric function, we need to look at the amplitude of the function. In this case, we have:

y(t) = 5sin(3t)

The amplitude of this function is 5, which represents the maximum displacement from the equilibrium position. Therefore, the correct answer is choice B, which corresponds to the value of 5.

For the Simple Harmonic Motion Described by the Trigonometric Function,find d=12sin⁡6πtd = \frac { 1 } { 2 } \sin 6 \pi td=21​sin6πt

For the Simple Harmonic Motion Described by the Trigonometric Function,find $d = \frac { 1 } { 2 } \sin 6 \pi t$