Click Play to watch the video. Answer the ungraded questions in the video and th

Question

Click Play to watch the video. Answer the ungraded questions in the video and the graded follow-up questions at right. A car of mass m drives over a speed bump and oscillates in simple harmonic motion with a frequency f. What would happen to the car's oscillation frequency if its suspension springs were replaced with stiffer springs such that the spring constant was doubled? The frequency would be two times larger. The frequency would be squareroot 2 times smaller. The frequency would be squareroot 2 times larger. The frequency would be two times smaller. The frequency would remain the same. Four mass-spring systems oscillate in simple harmonic motion. Rank the periods of oscillation for the mass-spring systems from largest to smallest. Click Play to watch the video. Answer the ungraded questions in the video and the graded follow-up questions at right. A mass attached to a spring is displaced from its equilibrium position by 5 cm and released. The system then oscillates in simple harmonic motion with a period of 1 s. If that same mass-spring system is displaced from equilibrium by 10 cm instead, what will its period be in this case?

Explanation / Answer

Time period T = 2*pi*(m/k)

a) f = 1/T = (1/2*pi)*(k/m)

If k is doubled, frequency would be 2 times larger.

b) ranking from largest to smallest,

m = 4, k=2

m = 2, k=2

m = 2 , k=4

m =1 , k=4

c) time period do not depends on maximum elongnation, so time period remains same = 1 s.

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