An airplane engine and the pylon that attaches it to the wing are idealized as shownbelow. Drive the equation of motion for small oscillations. Neglect damping and assumefree vibration. The rotational spring shown exerts a restoring moment on the pylon(beam ) which is proportional to the angle the pylon makes with the vertical. The enginehas a mass moment of inertia lo about an axis through its mass center. Assume that thepylon(beam) is rigid and weightless.Solve this problem in terms of:- lo, mass moment of inertia of the engine about its own centroid- W, weight of the engine- K, rotational spring constant- L, length of the pylon

Given: An airplane engine and the pylon that attaches it to the wing. The equation of motion for all…

Answered: An airplane engine and the pylon that…

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You have a hoop that is 10 cm in radius that you need to measure the mass of.You do not have a scale, but you do have a solid disk with a radius of 12 cm and a knownmass of 5 kg, and you have a device that will measure rotational speed. You set the disk on aplatform, give it a spin so that it is rotating clockwise at 30 rad/s, then set the hoop on thedisk. Afterwards, the system is rotating at 20 rad/s. What is the mass of the hoop? Thank you
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A thin hoop and a solid disk having the same mass and outer radii of 2.8 g and 15 mm, respectively, are released from rest as shown. Each rolls without slipping. Determine the kinetic energy in J and the angular velocity in radian/s of each having travelled a distance of 1.8 m down the 6 deg incline: (a) thin hoop and (b) solid cylilnder. The thin hoop mass moment of inertia Io = m r^2. The solid cylinder mass moment of inertial Io = 1/2 m r^2.
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