Problem A solid uniform ball with mass m and diameter d is supported against a vertical frictionless wall by a thin massless wire of length L. a) Find the tension in the wire. Solution a) Let us first derive the expression for the tension. By Newton's First Law ΣF = ______ the components of force that makes this so is ΣF = T ______-______  = 0 Simplifying this results to T = _____g/_____(ϕ) Analyzing the figure above, we arrive at _____(ϕ) = sqrt( _____2 +_____  ) / ( _____/_____ +_____  ) By substitution, we arrive at the following: T =  _____( _____  + 2_____ ) g / ( _____ sqrt ( _____2 +_____  ) ) If the ball has a mass of 45 kg and diameter 32 cm, while the wire has a length of 30 cm. The tension is equal to T = __________0.370 N

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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,