One simple harmonic motion is described by a sine function, y = A sin (wt), and another is described by a cosine function, y = A cos(wt). Discuss the differences in their initial position, velocity, and acceleration.
Answer to relevant Questions(a) At what position is the magnitude of the force on a mass in a mass–spring system minimum: (1) x = 0, (2) x = – A, or (3) x = + A? Why? (b) If m = 0.500 kg, k = 150 N/m, and A = 0.150 m, what are the magnitude of the ...A 0.25-kg object is suspended on a light spring of spring constant 49 N/m and the system is allowed to come to rest at its equilibrium position. The object is then pulled down 0.10 m from the equilibrium position and ...How much mass should be at the end of a spring (k = 100 N/m) in order to have a period of 2.0 s? The oscillations of two oscillating mass–spring systems are graphed in Fig. 13.25. The mass in System A is four times that in System B. (a) Compared with System B, System A has (1) more, (2) the same, or (3) less energy. ...Two masses oscillate on light springs. The second mass is half of the first and its spring constant is twice that of the first. Which system will have the greater frequency, and what is the ratio of the frequency of the ...
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