After a mass weighing 10 pounds is attached to a 5-foot spring, the spring measures 7 feet. This mass is removed and replaced with another mass that weighs 8 pounds. The entire system is placed in a medium that offers a damping force that is numerically equal to the instanta- neous velocity. (a) Find the equation of motion if the mass is initially released from a point foot below the equilibrium position with a downward velocity of 1 ft/s. (b) Express the equation of motion in the form given in (23). (c) Find the times at which the mass passes through the equilibrium position heading downward.
After a mass weighing 10 pounds is attached to a 5-foot spring, the spring measures 7 feet. This mass is removed and replaced with another mass that weighs 8 pounds. The entire system is placed in a medium that offers a damping force that is numerically equal to the instanta- neous velocity. (a) Find the equation of motion if the mass is initially released from a point foot below the equilibrium position with a downward velocity of 1 ft/s. (b) Express the equation of motion in the form given in (23). (c) Find the times at which the mass passes through the equilibrium position heading downward.
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Transcribed Image Text:26. After a mass weighing 10 pounds is attached to a 5-foot
spring, the spring measures 7 feet. This mass is removed
and replaced with another mass that weighs 8 pounds.
The entire system is placed in a medium that offers a
damping force that is numerically equal to the instanta-
neous velocity.
(a) Find the equation of motion if the mass is initially
released from a point foot below the equilibrium
position with a downward velocity of 1 ft/s.
(b) Express the equation of motion in the form given
in (23).
(c) Find the times at which the mass passes through the
equilibrium position heading downward.
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