If a simple harmonic motion is described by x = 3 cos(πt),starting from t = 0 s,what is the first occurrence of a value of t for which x = 0? Assume SI units.
A) t = 0 s
B) t = (π/4)s
C) t = (1/2π)s
D) t = 0.5 s

Question

If a simple harmonic motion is described by x​ = 3 cos(πt),starting from t = 0 s,what is the first occurrence of a value of t for which x = 0? Assume SI units.
A) t = 0 s
B) t = (π/4)s
C) t = (1/2π)s
D) t = 0.5 s

Quizplus · Accepted Answer

The cosine function equals zero at odd multiples of π/2. The first occurrence is when πt = π/2, solving gives t = 0.5 s.

If a Simple Harmonic Motion Is Described by X​ =

If a Simple Harmonic Motion Is Described by X =