1. The motion of a simple harmonic oscillator with spring constant k = 1.1 N/m is described by x(t) = 0.20 sin(5.0πt − π/4 ). On Fig. 1 sketch the (a) position as a function of time, (b) velocity as a function of time, (c) acceleration as a function of time and (d) energy (total, kinetic and potential in different colours or dashed, dotted and solid lines) as a function of time. Be careful to label with numbers the largest and smallest (most negative) values on each graph. On one of your graphs indicate what the period of this oscillation is by identifying two points separated by one period.
2. If the mass oscillating on the spring from question 1 is replaced with four times the initial mass, and the mass displaced by x = 0.5 m and released from rest, draw axes below and sketch the resulting graph of position versus time for this new mass, carefully labeling the time axis, and showing at least one full period of this oscillation.