Refer to the diagram - assume the weight of mass m=1 kg is hanging from a ceiling (held in place at x=0) and then let go at t=0. The damper and the spring inovolved have the following coefficients Kp = 20/s, K, = 125 N /m Write the Newton's 2nd law equation for the free-body diagram of the weight (similar to what we did in class recording), and then solve the equation (via Laplace transform) to find the behavior of displacement over time x(t). (What kind of function is x(t)?) For simplicity, assume the approximation for the acceleration of the force of gravity is g = 10 What is the final value of the displacement x(t)?

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Refer to the diagram - assume the weight of mass m=1 kg is hanging from a ceiling (held in place at x=0)
and then let go at t=0. The damper and the spring inovolved have the following coefficients Kp =
20 /s, K, = 125 N/m
m
Write the Newton's 2nd law equation for the free-body diagram of the weight (similar to what we did in
class recording), and then solve the equation (via Laplace transform) to find the behavior of
displacement over time x(t). (What kind of function is x(t)?)
For simplicity, assume the approximation for the acceleration of the force of gravity is g = 10
What is the final value of the displacement x(t)?
Transcribed Image Text:Refer to the diagram - assume the weight of mass m=1 kg is hanging from a ceiling (held in place at x=0) and then let go at t=0. The damper and the spring inovolved have the following coefficients Kp = 20 /s, K, = 125 N/m m Write the Newton's 2nd law equation for the free-body diagram of the weight (similar to what we did in class recording), and then solve the equation (via Laplace transform) to find the behavior of displacement over time x(t). (What kind of function is x(t)?) For simplicity, assume the approximation for the acceleration of the force of gravity is g = 10 What is the final value of the displacement x(t)?
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