2cos4t. Find the period of (a) The position of a mass in a spring-mass system is given as x(f) oscillations and initial conditions.

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Chapter1: Units, Trigonometry. And Vectors
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Task 1
2cos4t. Find the period of
(a) The position of a mass in a spring-mass system is given as x(1)
oscillations and initial conditions.
(b) Consider a vertical spring mass-damper-system with mass m=2 kg, damping coefficient c = 5 N.s/m
and stiffness k = 10 N/m. An external force fl1) = sin3t N is applied to the mass.
(i) Find the static equilibrium position as measured from the un-stretched length of the spring
(ii) Write the equation of motion.
(iii) Find the natural and damped frequencies.
(iv) In steady state, find the time delay in seconds between the mass position and At).
(v) Find the steady state maximum acceleration.
Transcribed Image Text:Task 1 2cos4t. Find the period of (a) The position of a mass in a spring-mass system is given as x(1) oscillations and initial conditions. (b) Consider a vertical spring mass-damper-system with mass m=2 kg, damping coefficient c = 5 N.s/m and stiffness k = 10 N/m. An external force fl1) = sin3t N is applied to the mass. (i) Find the static equilibrium position as measured from the un-stretched length of the spring (ii) Write the equation of motion. (iii) Find the natural and damped frequencies. (iv) In steady state, find the time delay in seconds between the mass position and At). (v) Find the steady state maximum acceleration.
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