A webassign.net mass of 1.50 kg is attached to a spring and is able to oscillate horizontally with negligible friction. The cylinder is pulled to a distance of A metal cylinder with 0.200 m from its equilibrium position, held in place with a force of 18.0 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 Hz)? Hz (c) What is the maximum speed of the cylinder (in m/s)? m/s

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Chapter1: Units, Trigonometry. And Vectors
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Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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A webassign.net
A metal cylinder with a mass of 1.50 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 18.0 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 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?
X = ±
(e) What is the maximum acceleration of the cylinder? (Enter the magnitude in m/s.)
m/s2
(f) At what position(s) (in m) on the x-axis does the maximum acceleration occur?
X = ±
(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/s) when its position is equal to one-third of the maximum displacement from equilibrium?
m/s?
Transcribed Image Text:*L 100% A webassign.net A metal cylinder with a mass of 1.50 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 18.0 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 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? X = ± (e) What is the maximum acceleration of the cylinder? (Enter the magnitude in m/s.) m/s2 (f) At what position(s) (in m) on the x-axis does the maximum acceleration occur? X = ± (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/s) when its position is equal to one-third of the maximum displacement from equilibrium? m/s?
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