Ametal cylinder with a mass of 4.20 kg is attached to a spring and is able to oscillate horizontally with negligible friction. the cylinder is pulled to a distance of 0.200 m from its equilibrium position held in place with a force of 24.0 n, and then released from rest. it then oscillates in simple harmonic motion. (the cylinder oscillates along the x-axis, where x0 is the equilibrium position.)
(a) what is the spring constant (in n/m)? n/m
(b) what is the frequency of the oscillations (in hz)? hz (c) what is the maximum speed of the cylinder (in m/s)?
m/s
(d) at what position(s) (in m) on the x-axis does the maximum speed occur?
(e) what is the maximum acceleration of the cylinder? (enter the magnitude in m/s2.)
(f) at what position(s) (in m) on the x-axis does the maximum acceleration occur?
(g) what is the total mechanical energy of the oscillating spring-cylinder 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/s2) when its position is equal to one-third of the maximum displacement from equilibrium?
m/s2
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