A mass weighing 5 lbs stretches a spring 8 inches. The mass is set in motion from equilibrium with a downward velocity of 4 ft/s. Assume there is no damping. Recall that F = ma and Hooke's Law states that F = ky. Use a = g = 32 ft/s². a) Find the spring constant and the mass of the object. b) Write the appropriate initial value problem (differential equation) for this spring. Don't forget to include the initial conditions. Don't solve the equation, just set it up.
A mass weighing 5 lbs stretches a spring 8 inches. The mass is set in motion from equilibrium with a downward velocity of 4 ft/s. Assume there is no damping. Recall that F = ma and Hooke's Law states that F = ky. Use a = g = 32 ft/s². a) Find the spring constant and the mass of the object. b) Write the appropriate initial value problem (differential equation) for this spring. Don't forget to include the initial conditions. Don't solve the equation, just set it up.
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Transcribed Image Text:A mass weighing 5 lbs stretches a spring 8 inches.
The mass is set in motion from equilibrium with a downward velocity of 4 ft/s.
Assume there is no damping.
Recall that F = ma and Hooke's Law states that F = ky. Use a = g = 32 ft/s².
a) Find the spring constant and the mass of the object.
b) Write the appropriate initial value problem (differential equation) for this spring.
Don't forget to include the initial conditions. Don't solve the equation, just set it up.
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