A metal cylinder with a mass of 2.90 kg is attached to a spring and is able to oscillate horizontally with negligible friction. The cylinder is pulled tc a distance of 0.200 m from its equilibrium position, held in place with a force of 29.0 N, and then released from rest. It then oscillates in simple harmonic motion. (The cylinder oscillates along the X-axis, where x = 0 is the equilibrium position.) (a) What is the spring constant (in N/m)? N/m (b) What is the frequency of the oscillations (in H2)? H2 (c) What is the maximum speed of the cylinder (in m/s)? m/s (d) At what position(s) (in m) on the xaxis does the maximum speed occur? X=:l: m (e) What is the maximum acceleration of the cylinder? (Enter the magnitude in m/sz.) 2 m/s (f) At what position(s) (in m) on the xaxis does the maximum acceleration occur? X=:l: m (9) What is the total mechanical energy of the oscillating springcylinder system (in J)? J (h) What is the speed of the cylinder (in m/s) when its position is equal to one-third of the maximum displacement from equilibrium? m/s (i) What is the magnitude of the acceleration of the cylinder (in m/sz) when its position is equal to one-third of the maximum displacement from equilibrium? m/s2 (" nnnnnn lana