Q1: Consider an object P oscillating between point A and B about
the origin (0,0), assuming the usual Cartesian Coordinate System
apply. Observe the Model and suggests possible meaning of
the following points with the most suitable descriptions.

central
equilibrium position

instantaneous
position

maximum
amplitudem

minimum
amplitudem

Given the
equation x = x_{0}sin
( ω t ) can describe SHM, suggests the usual symbols associated to
the physical quantity

central
equilibrium position

instantaneous
position or displacement given by vector OP m

maximum
amplitude m

minimum
amplitude m

time taken for
one complete oscillation, for example Path from O→A→O→B→O s

number of
oscillations performed per unit time1/s. Hence, f and
T are related by the equation $$f=1T

angular
frequencyrad/s. Since one
complete oscillation is 2π radians, ω and f are related by ω = 2π
f

Example

The displacement of a spring mass system from a fixed point is as
shown. From the graph, determine the
(a) amplitude,
(b) period,
(c)
frequency,
(d) angular frequency, of the oscillations.
[2.00 m, 6.28 s, 0.159 Hz, 1.00 rad s^{–1}]