A -kg mass is attached to a spring with stiffness 4 N/m. The damping constant for the system is 2 N-sec/m. The mass is displaced m to the left and given an initial velocity of 2 m/s to the right. (a) Determine the equation of the motion of mass and express it in the form Aet sin(3t + 6) by finding the constants A, a, 3 and o in radians. (b) Find the time t when the mass crosses the equilibrium position for the first time. (c) Find the maximum displacement of the mass to the right.
A -kg mass is attached to a spring with stiffness 4 N/m. The damping constant for the system is 2 N-sec/m. The mass is displaced m to the left and given an initial velocity of 2 m/s to the right. (a) Determine the equation of the motion of mass and express it in the form Aet sin(3t + 6) by finding the constants A, a, 3 and o in radians. (b) Find the time t when the mass crosses the equilibrium position for the first time. (c) Find the maximum displacement of the mass to the right.
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Transcribed Image Text:A -kg mass is attached to a spring with stiffness 4 N/m. The damping constant for the system is 2 N-sec/m.
The mass is displaced m to the left and given an initial velocity of 2 m/s to the right.
(a) Determine the equation of the motion of mass and express it in the form Aet sin(3t + 6) by finding the
constants A, a, 3 and o in radians.
(b) Find the time t when the mass crosses the equilibrium position for the first time.
(c) Find the maximum displacement of the mass to the right.
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