A 0.73 kg mass is attached to the end of a spring and set into oscillation on a

Question

A 0.73 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.

4. -1 points OSUniPhys1 15.1.WA.017 A 0.73 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 My Notes Ask Your Teacher x (m) 0.8 0.4 r (s) 3.0 -0.4 -0.8 Determine the following (a) amplitude A of the motion (b) angular frequency o rad/s (c) spring constant k N/m (d) speed of the object at t1.00 s m/s (e) magnitude of the object's acceleration at t1.00 s m/s2

Explanation / Answer

(A) A = 0.8 m

(B) T = 4 sec

w = 2 pi / T = 2 pi / 4 = 1.57 rad/s

(C) k = m w^2 = (0.73 kg)(1.57^2)

k = 1.80 N/m

(D) at t = 1s,

x= + A (extreme position)

v = 0

(E) a = k A / m = (1.80)(0.8) / 0.73

a = 1.97 m/s^2

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