A small particle of mass mp= 20.0 g that is moving at a speed of vb,0=10.0 m/s when it collides and sticks to the edge of a uniform solid cylinder of mass m=0.5 kg, radius Rcyl=10.0 cm, and thickness L=1.0 cm that is rotating counterclockwise (CCW) at wcyl,0=100.0 rad/s. The moment of inertia of a cylinder is Icyl = 1/2mcylr2cyl. A. Calculate the initial angular momentum of the particle just before it collides with the cylinder. B. Calculate the initial angular momentum of the cylinder before it collides with the particle. C. Calculate the moment of inertia of the system Isys = Icyl + Ip after the collision. D. Calculate the nal angular speed wsys,0 of the system after the collision. Indicate the direction. E. Calculate the change in kinetic energy of the system.

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Forced undamped vibrations

In mechanical engineering, vibration is expressed as the term that occurs due to an object's backward and forward movement about a point of equilibrium. Generally, there are three types of vibrations which are,