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given that l= 2 A=4 B=5 (a) The motion of a bob of a pendulum can be described by = Acos(t) + B sin(t), where

given that l= 2 A=4 B=5 (a) The motion of a bob of a pendulum can be described by = Acos(t) + B sin(t), where = g l , where g is the gravitational acceleration, l =length, is the angle made by the bob and A and B are constants. Write in the form Rcos(t ). State amplitude, period of oscillations and phase. (Use g = 10 m/s2) (b) Plot the graphs of (i) Acos t; (ii) B sin t and (iii) Acos t + B sin t in the same axes. (c) Compare the value of the amplitude of the resulting graph (iii) with the function from part (a) and comment on their values.

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