This problem is an example of over-damped harmonic motion. A mass m = 2 kg is attached to both a spring with spring constant k = 56 N/m and a dash-pot with damping constant c = 22 N s/m. The ball is started in motion with initial position zo = -9 m and initial velocity vo = 5 m/s. Determine the position function (t) in meters. x(t) = Graph the function (t).
This problem is an example of over-damped harmonic motion. A mass m = 2 kg is attached to both a spring with spring constant k = 56 N/m and a dash-pot with damping constant c = 22 N s/m. The ball is started in motion with initial position zo = -9 m and initial velocity vo = 5 m/s. Determine the position function (t) in meters. x(t) = Graph the function (t).
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Transcribed Image Text:This problem is an example of over-damped harmonic motion.
A mass m = 2 kg is attached to both a spring with spring constant k = 56 N/m and a dash-pot with damping constant c = 22 N - s/m.
The ball is started in motion with initial position = -9 m and initial velocity v = 5 m/s.
Determine the position function (t) in meters.
x(t) =
Graph the function z(t).
le
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Step 1: Find the differential equation for the given problem:
VIEWStep 2: Find the solution of the differential equation (4)
VIEWStep 3: Find the velocity of the mass and use the initial conditions to find the value of constants.
VIEWStep 4: Find the position of the mass for the given problem and make a graph using the equation:
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