A mass of 1 kg is attached to a spring with a spring constant k = 9 N/m. The initial conditions are x(0) = 5 and x'(0) = 3. Assume that there are no damping and no external forces acting on the system. a) Write down the differential equation that describes the spring motion. b) State the type of the motion. Justify your answer. c) If the equation of the motion is given by x(t) = 5cos 3t + sin 3t , find the amplitude and the frequency.
A mass of 1 kg is attached to a spring with a spring constant k = 9 N/m. The initial conditions are x(0) = 5 and x'(0) = 3. Assume that there are no damping and no external forces acting on the system. a) Write down the differential equation that describes the spring motion. b) State the type of the motion. Justify your answer. c) If the equation of the motion is given by x(t) = 5cos 3t + sin 3t , find the amplitude and the frequency.
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Transcribed Image Text:QUESTION 11
A mass of 1 kg is attached to a spring with a spring constant k = 9 N/m. The initial conditions
are x(0) = 5 and x'(0) = 3. Assume that there are no damping and no external forces acting
on the system.
%3D
a)
Write down the differential equation that describes the spring motion.
b)
State the type of the motion. Justify your answer.
If the equation of the motion is given by x(t) = 5 cos 3t + sin 3t , find the amplitude and
the frequency.
c)
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