A particle oscillates with a simple harmonic motion along the x-axis. Its displacement from the origin...

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A particle oscillates with a simple harmonic motion along the x-axis. Its displacement from the origin varies with time according to the equation x = 2 m sin (0.5t +) where t is in A seconds and the argument of the sine is in radians. Find ; The amplitude, frequency and period of the motion The velocity and acceleration of the particle at any time The maximum speed and acceleration of the particle The displacement of the particle between t = 0 and t = 2 s. i. ii. 111. iv. dx= =V=2X0 SJJ COS marks) (4 marks) - 4 marks) (4 marks) A particle oscillates with a simple harmonic motion along the x-axis. Its displacement from the origin varies with time according to the equation x = 2 m sin (0.5t +) where t is in A seconds and the argument of the sine is in radians. Find ; The amplitude, frequency and period of the motion The velocity and acceleration of the particle at any time The maximum speed and acceleration of the particle The displacement of the particle between t = 0 and t = 2 s. i. ii. 111. iv. dx= =V=2X0 SJJ COS marks) (4 marks) - 4 marks) (4 marks)

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i The amplitude of the motion is 2m the frequency of the motion is 05 Hz or 12 seconds... View the full answer