Question

1. Derive equation of motion 2. Use Laplace transformation to get the analytical solution. 3. Find expression of displacement and velocity Problems I. An instrument is attached to a base whose motion is to be measured. The relative motion between mass m and the base recorded by a rotating drum will indicate the motion of the base. Assume that x is the displacement of the mass, y is the displacement of the base, and z x-y is the motion of the pen relative to the base. If the motion of the base is y cos at , what is the steady-state amplitude ratio of z toy ? Show that if ω » a, where a,-Vk/m, the device can be used for measuring the displacement of the base. Show also that ifa ah, the device can be used for measuring the acceleration of the base. m -2 ㄧㄥ 6: 0.02 M: 2 K-2 b:0.oz Y lo Base Fig. 1 Motion- or acceleration-measuring instrument

Answer 1

Solution:

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