Concept Simulation 10.3 illustrates the concepts pertinent to this problem. A 0.

Question

Concept Simulation 10.3 illustrates the concepts pertinent to this problem. A 0.68-kg object is attached to one end of a spring, as in the first drawing, and the system is set into simple harmonic motion. The displacement x of the object as a function of time is shown in the second drawing. With the aid of these data, determine (a) the amplitude A of the motion, (b) the angular frequency (c) the spring constant k, (d) the speed of the object at t = 1.0 s, and (e) the magnitude of the object's acceleration at t = 1.0 s.

Explanation / Answer

Since the object oscillates between 0.080 m

The amplitude of the motion is 0.080 m

-------------------------------------------------

w = 2 pi / T = 2 pi / 4 = 1.6 rad/s

--------------------------------------------------

k = w2 m = 1.62 * 0.68 = 1.74 N/m

-------------------------------------------------

At this location, the object is momentarily at rest, so that its speed

v = 0 m/s

-------------------------------------------------

amax = A w2 = 0.08 * 1.62

= 0.20 m/s2

Related Questions

Navigate

• Browse (All)
• Browse C
• Subjects

---

---

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