25. A mass weighing N is attached to a sp is 2 N/m. The medium offers a damping force that is numerically equal to the instantaneous velocity. The mass is released from a point 1 m above the equilibrium position with a downward velocity of 8 m/s. Determine the time in which the mass passes through the equilibrium position. Find the time at which the mass reaches its extreme displacement from the equilibrium www.tin mmm position. What is the position of the mass at this instant? ******

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Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
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25. A mass weighing 4 N is attached to a spring whose const
is 2 N/m. The medium offers a damping force that is numerically
equal to the instantaneous velocity. The mass is released
mmmmmmmm
from a point 1 m above the equilibrium position with a downward
velocity of 8 m/s. Determine the time in which the mass
www
passes through the equilibrium position. Find the time at which
the mass reaches its extreme displacement from the equilibrium
position. What is the position of the mass at this instant?
27. A 1-kilogram mass is attached to a spring whose constant is
16 N/m, and the entire system is then immersed in a
liquid that imparts a damping force equal to 10 times the
instantaneous velocity. Determine the equations of motion if:
zu
a) initially the mass is released from a point 1
meter below the equilibrium position, and then
b) The mass is initially released from a point 1 meter
below the equilibrium position with an upward velocity
of 12 m/s.
Transcribed Image Text:25. A mass weighing 4 N is attached to a spring whose const is 2 N/m. The medium offers a damping force that is numerically equal to the instantaneous velocity. The mass is released mmmmmmmm from a point 1 m above the equilibrium position with a downward velocity of 8 m/s. Determine the time in which the mass www passes through the equilibrium position. Find the time at which the mass reaches its extreme displacement from the equilibrium position. What is the position of the mass at this instant? 27. A 1-kilogram mass is attached to a spring whose constant is 16 N/m, and the entire system is then immersed in a liquid that imparts a damping force equal to 10 times the instantaneous velocity. Determine the equations of motion if: zu a) initially the mass is released from a point 1 meter below the equilibrium position, and then b) The mass is initially released from a point 1 meter below the equilibrium position with an upward velocity of 12 m/s.
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