A 0.20kg block attached to a horizontal spring performs simple harmonic motion of amplitude 0.040m. The angular frequency of oscillation is 20rads−1 and the phase constant is 30∘. Take t=0 when the stopwatch is started.
a. (i) Calculate the displacement of the block at t=0.10s, stating its sign and unit.
b. (ii) Determine the instantaneous velocity of the block at the same instant.
c. (iii) Find the instantaneous acceleration of the block at t=0.10s. Indicate its direction with the correct sign.
d. (iv) Compute the magnitudes of maximum velocity and maximum acceleration for this motion.