for the system is 5 N-sec/m, determine the equation of motion for the mass. What is the resonance frequency for the system? What is the equation of motion for the mass?

icon
Related questions
Question
A 2-kg mass is attached to a spring hanging from the ceiling, thereby causing the spring to stretch 20 cm upon coming to rest at equilibrium. At time t=0, the mass is
displaced 5 cm below the equilibrium position and released. At this same instant, an external force F(t) = 0.3 cos t N is applied to the system. If the damping constant
for the system is 5 N-sec/m, determine the equation of motion for the mass. What is the resonance frequency for the system?
What is the equation of motion for the mass?
y(t) =
(Use integers or decimals for any numbers in the expression. Round ẞ to two decimal places as needed. Round all other values to five decimal places as needed.)
Transcribed Image Text:A 2-kg mass is attached to a spring hanging from the ceiling, thereby causing the spring to stretch 20 cm upon coming to rest at equilibrium. At time t=0, the mass is displaced 5 cm below the equilibrium position and released. At this same instant, an external force F(t) = 0.3 cos t N is applied to the system. If the damping constant for the system is 5 N-sec/m, determine the equation of motion for the mass. What is the resonance frequency for the system? What is the equation of motion for the mass? y(t) = (Use integers or decimals for any numbers in the expression. Round ẞ to two decimal places as needed. Round all other values to five decimal places as needed.)
Expert Solution
steps

Step by step

Solved in 2 steps with 3 images

Blurred answer