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13) If the frequency of the motion of a simple harmonic oscillator is doubled, b

ID: 1771437 • Letter: 1

Question

13) If the frequency of the motion of a simple harmonic oscillator is doubled, by what factor does the maximum acceleration of the oscillator change? A)2 B) 4 C) 1 D) 1/2 E) 1/4 14) The position of a mass that is oscillating on a spring is given by x = (17.4 cm) gosi(5.46 s-1)]. What is the angular frequency for this motion? A) 0.183 rad/s B) 5.46 rad/s C) 2.34 rad/s D) 17.4 rad/s E) 0.869 rad/s 15) A mass is oscillating on a spring with a period of 4.60 s. At0s the mass has zero speed and is at x 8.30 cm. What is the value of t the first time after t = 0 s that the mass is at x=4.15 cm? A) 0.575 s B) 0.767 s C) 115 s D) 1.30 s E) 1.53 s

Explanation / Answer

13)(B)

explanation:


the angular acceleration is related to frequency as:

a = (2 pi f)^2 R

So when frequency is doubled, the angular acceleration become 4 times.

14)(B)5.46 rad/s

on comparing with general eqn,

y = A cos (wt)

w = 5.46

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