I. A mass oscillating on a spring has a phase constant φο- rad, an angular frequency...

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I. A mass oscillating on a spring has a phase constant φο- rad, an angular frequency w = π rad/s and an amplitude A-4.0 cm. (a) Draw a circle of radius 4.0 cm and indicate on the circle the phase constant, if the simple harmonic motion is well-described by the r-component of uniform circular motion with the same angular speed as this angular frequency. /4 (d) Sketch a graph of r versus t. Include two periods in your time axis (e) Write an expression for the velocity of the mass as a function of time, v.(t). (Hint: it may be useful to use calculus and your expression from part (b). /4 (f) Find the velocity at t = 0 s. /2

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4 2 5 0 5 x uonisoa

s 2-T dt Vx (t) (f) Art-os )10.88 Cmls

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