1. Given the following vectors: S = 3i -j+ 5k P = 2i + 4j - 6k %3D Q = -7i + 2j + 9k +9K %3D Obtain the following operations: SxS P.P 2. 3. Q. (Qx Q)

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A: Solution: Given Data: L = 5 m h = 5 m ρg=0.001h Pin=1.5 atmPD=1 atm

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Q: are these true or false?

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Free undamped vibrations

Whenever an object/system displaces in either side of its equilibrium position with the help of an external/internal means, then the object/system moves regularly or randomly on both sides of its equilibrium position. This motion is called vibration. Generally, there are three types of vibration: longitudinal vibration, transverse vibration, and torsional vibration.