udent/mainfr un Cutnell, Physics, 10e COLLEGE PHYSICS (PHY 221 Grace Period: 11

Question

udent/mainfr un Cutnell, Physics, 10e COLLEGE PHYSICS (PHY 221 Grace Period: 11 days left I Registe 3, Gradebook ORION Downloadable eTextbook oncept Simulation 103 l displacement x of the object as a function of tuime is shown in the second drawing. With the aid of these data, determane (a) the ampltude A of the motion, and the system is set into simple harmenic motion. The (b) the angular frequency w, () the sping t in the fest drawing, constant (o) the sped of tad on Ad Rights Reserved. A Divsian of

Explanation / Answer

(A) Amplitude = 0.080 m

(B) Time period, T = 4 sec

w = 2pi / T = 2pi / 4

w = 1.57 rad/s

(C) m w^2 = k

k = 0.66 x 1.57^2 = 1.63 N/m

(D) at t = 1 sec ,

it is at extreme position so v = 0

(E) F = k x

at t = 1 sec, x = A

so a = F/m = k A / m = 1.63 x .080 / 0.66

a = 0.20 m/s^2

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