Starting with the three translational equations and the three moment equations for an aircraft derived. Rewrite these equations for a spin-stabilized bullet. Equations are given below: m(U+ QW-VR)= -mgSinφ + FAx+ FPx
m(V+ RU- PW)= mg Cosφ + FAy+ FPy
m(W+ PV-QU)= mgCosφ +FAz+ FPz

a. The bullet is fired along the body y-axis, at pitch attitude angle zero degrees, and is spin stabilized.
b. Do not derive the equations from first principles.
c. Clearly state all of your assumptions.

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Aloaded platform of total mass 500 kg is supported by a dashpot and by a set of springs of effective stiffness 72 kn/m. it is observed that when the platform is depressed through a distance x = 12.5 cm below its equilibrium position and then released without any initial velocity; it reaches its equilibrium position in the shortest possible time without overshoot. find the position and velocity of the loaded platform 0.10 sec. after its release. if a further load of 400 kg is added to the platform, find, i) the frequency of damped vibrations, and i) the amplitude of vibration after 2 complete oscillations, given that the initial amplitude is 15 cm.

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