A 2 kg cube attached to a spring oscillates in simple harmonic motion along an x-axis on a smooth surface. Its position is given by X = 0.050 cos (2t +pi), where X is in meters and T is in seconds. i. Define simple harmonic motion and time period. (1 mark) ii. What is the angular frequency, frequency, amplitude and phase angle or phase constant of the motion? (4 marks) iii. What is the spring constant K, for the spring? (2 marks) iv. What is the velocity and acceleration of the cube at T = 3 S? (5 marks) v. What is the kinetic energy in Joules of the cube when it is at X = 3 M?
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