Question

(1.2) [0.4] Express the function sin(wt + π/6) as a phase-shifted cosine. (1.3) [O.11] An SHO trajectory is given by )sin (), where t is in seconds and r is in metres. Determine the (a) equilibrium position, (b) amplitude, (c) angular frequency, (d) cycle frequency, and (e) period. (1.4) [O.14] The trajectory of an oscillating object was carefully measured and is presented on the adjacent graph. The times are in seconds, while the displacement is measured in millimetres From the trajectory depicted in the graph, estimate the (a) amplitude, (b) period, and (c) (i) cycle and (i) angular frequencies of the oscil- latory motion. (d) Express the tra- jectory in terms of a (i) cosine and (ii) sine function of time, employing suitable phase angles.

Answer 1

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