an object moves in simple harmonic motion by the equation An object moves in sim

Question

an object moves in simple harmonic motion by the equation An object moves in simple harmonic motion described by the equation d = - 4 sin (pi/4 t - pi/2) where t is measured in seconds and d in inches. Answer the following questions a through e a a. What is the maximum displacement of the object? in. b. What is the frequency? cycle per sec. (Type an integer or a fraction.) c. What is the time required for one cycle? sec. (Type an integer or a fraction.) d. What is the phase shift of the motion? in. (Type an integer or a fraction.) e. Choose the correct graph for one period of d = -4 sin (pi/4 t - pi/2).

Explanation / Answer

Solution:

Here;

d = -4 sin( t*/4 - /2 )

Comparing it with the equation of SHM:

y = A sin(wt -)

we get,

A) Amplitude = 4 inches

B) frequency = w/2

=> frequency = /4 / 2

=> f = 1/8 s-1

C) Time period = 1/f = 8 s

D) phase shift = = /2

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.