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Engineering · Mechanical Engineering
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QUESTION THREE. [30 marks total All answers in Question Three should be given symbolically and in terms of the symbols used in the problem description only (ie. x-f(kỗo, ,ma ,mc,mt.Ф.9,h3, X,Ак), no other symbols other than coefficients or trigonometry functions should be used). An arrow with a mass of mA is loaded into a crossbow of mass me that has a spring constant k and a displacement δο-The crossbow is η efficient with respect to the proportion of energy transfer to arrow. The arrow is fired through the air at an angle of φ to the horizontal and hits a target at a point that is a distance of x away horizontally and h3 vertically. The target has a mass me can slide along the ground with a frictional coefficient of pHK. Gravity (g) acts on the arrow and wind resistance should be ignored. A:

Calculate the height of the arrow at the peak of its trajectory.

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