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Two springs of stiffnesses k1 and k2 are attached to the mass m. One of the springs is connected to a rigid support, whereas the free end of the other spring undergoes the harmonic displacement y(t) = Y sin ωt.
a) Derive the differential equation of motion for the mass.
(b) Determine the amplitude of the steady-state vibration.
(c) Find the magnification factor.
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Using Dimensional Analysis, derive an expression for the drag coefficient of a high speed flow. At high speeds, you may assume the total drag depends on the fluid density p, average velocity U, Length scale of the object L, but does not depend on the..
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