5. A force of 1.3 newtons stretches a spring 0.2 meters. A mass of 0.5 kilogram is attached to the spring, and the entire system is then submerged in a liquid that imparts a damping force numerically equal to 2 times the instantaneous velocity. (a) Determine the equation of motion if the mass is initially released from a point 1 meter below the equilibrium position with an upward velocity of 6 m/s. Express the trigonometric portion of your answer in the form of one sine function containing a phase angle o (rounded-off to 3 decimal places).
5. A force of 1.3 newtons stretches a spring 0.2 meters. A mass of 0.5 kilogram is attached to the spring, and the entire system is then submerged in a liquid that imparts a damping force numerically equal to 2 times the instantaneous velocity. (a) Determine the equation of motion if the mass is initially released from a point 1 meter below the equilibrium position with an upward velocity of 6 m/s. Express the trigonometric portion of your answer in the form of one sine function containing a phase angle o (rounded-off to 3 decimal places).
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Transcribed Image Text:5. A force of 1.3 newtons stretches a spring 0.2 meters. A mass of 0.5 kilogram is attached to the spring, and the entire
system is then submerged in a liquid that imparts a damping force numerically equal to 2 times the instantaneous velocity.
(a) Determine the equation of motion if the mass is initially released from a point 1 meter below the equilibrium position
with an upward velocity of 6 m/s. Express the trigonometric portion of your answer in the form of one sine function
containing a phase angle o (rounded-off to 3 decimal places).
(b) Find the first time at which the mass passes through the equilibrium position heading downward. Round off to 3
decimal places.
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