A force of 2 pounds stretches a string 1 foot. A mass weighing 3.2 pounds is attached to the spring, and the system is then immersed in a medim that offers a damping force that is numerically equal to 0.4 times the instantaneous velocity. a) Find the equation of motion if the mass is initially released from rest from a piont 1 foot above the equilibrium position. b) Find the first time at which the mass passes through the equilibrium position heading upward.
A force of 2 pounds stretches a string 1 foot. A mass weighing 3.2 pounds is attached to the spring, and the system is then immersed in a medim that offers a damping force that is numerically equal to 0.4 times the instantaneous velocity. a) Find the equation of motion if the mass is initially released from rest from a piont 1 foot above the equilibrium position. b) Find the first time at which the mass passes through the equilibrium position heading upward.
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A force of 2 pounds stretches a string 1 foot. A mass weighing 3.2 pounds is attached to the spring, and the system is then immersed in a medim that offers a damping force that is numerically equal to 0.4 times the instantaneous velocity.
a) Find the equation of motion if the mass is initially released from rest from a piont 1 foot above the equilibrium position.
b) Find the first time at which the mass passes through the equilibrium position heading upward.
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