5. A 5-kg mass is attached to a spring whose stiffness constant is 80 N/m. The damping is negligible. The mass is displaced through a distance of 0.5 m to left of the equilibrium position and given a velocity of 2 m/s to the right. (a) Find the equation of motion of the mass together with the amplitude, period and natural frequency. (b) Find the maximum displacement. (c) Find the time when the mass returns to its equilibrium position for the first time.

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5. A 5-kg mass is attached to a spring whose stiffness constant is 80 N/m. The damping is negligible.
The mass is displaced through a distance of 0.5 m to left of the equilibrium position and given a
velocity of 2 m/s to the right.
(a) Find the equation of motion of the mass together with the amplitude, period and natural
frequency.
(b) Find the maximum displacement.
(c) Find the time when the mass returns to its equilibrium position for the first time.
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5. A 5-kg mass is attached to a spring whose stiffness constant is 80 N/m. The damping is negligible. The mass is displaced through a distance of 0.5 m to left of the equilibrium position and given a velocity of 2 m/s to the right. (a) Find the equation of motion of the mass together with the amplitude, period and natural frequency. (b) Find the maximum displacement. (c) Find the time when the mass returns to its equilibrium position for the first time.

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