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simple harmonic motion of spring and simple pendulum

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15. The displacement of a mass oscillating on a spring is given by x(t) = x_m * cos(wt + ph). If the initial displacement is zero and the initial velocity is in negative x direction, then the phase constant phi is:

16. Mass m, oscillating on the end of a spring with spring constant k, has amplitude A. Its maximum speed is

17. A 3 kg block, attached to a spring, executes simple harmonic motion according to x =2cos(50t) where x is in meters and t is in seconds. The spring constant of the spring is

18. If the length of a simple pendulum is doubled, its period will

19. A simple pendulum is suspended from a ceiling of an elevator. The elevator is accelerating upwards with acceleration a. The period of the pendulum, in terms of its length L, g, and a is

20. Three physical pendulums, with mass m1, m2 = 2m1, and m3 = 3m1, have the same shape and size and are suspended at the same point. Rank them according to their periods, from shortest to longest.

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The solution focuses on the simple harmonic motion of the spring and simple pendulum.

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