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Mechanical Vibration Assignment

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Added on  2020-03-16

Mechanical Vibration Assignment

   Added on 2020-03-16

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MECHANICAL VIBRATIONName of StudentInstitution Affiliation
Mechanical Vibration Assignment_1
Question one When the steel ball is falling from a height H, it will have the potential energy of me that is changed into kinetic energy [ CITATION Pet16 \l 1033 ]. Where the ball will touch the table top, its velocity is given by the following equation[ CITATION Dea14 \l 1033 ].Mgh= ½ MV2V = √2ghAnd when the horizontal table top is fixed and the coefficient of the substitution zero then the ball will bounce back to the same height[ CITATION Jam154 \l 1033 ]. But while the spring with stiffness constant K plays a very significant role[CITATION Col14 \l 1033 ]. The energy is lost due to expansion and contraction of the spring when the ball collides with the top of the table[ CITATION Dav122 \l 1033 ]. If we consider;E= V2−V1U1−U2= coefficient of restitution Where; U1= initial velocity (velocity of the ball)U2=velocity of the top table[ CITATION Cha143 \l 1033 ].V1= Velocity of the ball after collision V2= Velocity of the table top after the collision[ CITATION Nic131 \l 1033 ].e= V2−V1U1The velocity the ball after collision even where v =velocity of the steel ball after the collision[ CITATION Fra15 \l 1033 ]
Mechanical Vibration Assignment_2
And so on The total distance covered before stopping The velocity of the ball decreases due to the loss of energy because of the springQuestion two
Mechanical Vibration Assignment_3
Total work done= Kinetic EnergyQuestion threeFrom the data given aboveCalculate the load acting on the cable in static condition Mg=TSubstitute the values in the above equation700 x 9.8=TT= 6860NCalculate the elongation in the cable\ Here, E is the young’s modulus of the steel and A is the cross-sectional area of the cable.Substitute the values in above equation
Mechanical Vibration Assignment_4

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