A 0.49 kg mass is attached to the end of a spring and set into oscillation on a

Question

A 0.49 kg mass is attached to the end of a spring and set into oscillation on a horizontal frictionless surface by releasing it from a compressed position. The record of time is started when the oscillating mass passes through the equilibrium position and the position of the mass at any time is shown in the drawing. in the d x (m) 0.6 0.3 r (s) 3.0 -0.3 -0.6 Determinethe following (a) amplitude A of the motion (b) angular frequency radfs (c) spring constant k N/m (d) speed of the object at t = 1.00 s mys (e) magnitude of the object's acceleration at t = 1.00 s m/s2

Explanation / Answer

(a) amplitude = highest distance = .6 m

(b) w = 2 pi / T

here T = 4 sec

w = 2 x pi / 4

w = 1.57 rad/s

(c) w = sqrt (k/m)

squaring both sides

w^2 = k/m

k = w^2 x m = 1.57 x 1.57 x .49

k = 1.207 N/m

(d) at t = 1 sec the mass is at highest amplitude and at highest amplitude the mass is at rest (v = 0)

So,

speed at 1 sec = 0 m/s

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

---

---

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