1.

Plot the corresponding reference circle for each of the followingsimple harmonic motions. Indicate the initial (t = 0) positionof the particle, the radius of the circle, and the angular speed ofthe rotating particle. For simplicity, the sense of rotation may befixed to be anticlockwise in every case: (x is in cm and tis in s).(a) x = –2 sin (3t + π/3)(b) x = cos (π/6 – t)(c) x = 3 sin (2πt + π/4)(d) x = 2 cos πt

Answer»

Plot the corresponding reference circle for each of the following
simple harmonic motions. Indicate the initial (t = 0) position
of the particle, the radius of the circle, and the angular speed of
the rotating particle. For simplicity, the sense of rotation may be
fixed to be anticlockwise in every case: (x is in cm and t
is in s).


(a) x = –2 sin (3t + π/3)


(b) x = cos (π/6 – t)


(c) x = 3 sin (2πt + π/4)


(d) x = 2 cos πt



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