The guide with the vertical slot is given a horizontal oscillatory motion according to x = 5.1 sin 3.4t, where x is in inches and t is in seconds. The oscillation causes the pin P to move in the fixed parabolic slot whose shape is given by y = x2/8, with y also in inches. Plot the magnitude v of the velocity of the pin as a function of time during the interval required for pin P to go from the center to the extremity x = 5.1 in. Find and locate the maximum value of v and verify your results analytically.

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A: Given Data : Unit vector

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A: Since the part is symmetrical, thus divide the given component into half and the half part.

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A: According to the given data rotation amount and rotational axis is provided in the below picture.

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A: Solution:

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Work and Heat Transfer

It is generally related to thermal engineering which tells about the use, creation, conversion and transfer of heat energy between the systems. It is also considered that to transfer heat from one source to another, transfer of masses is also required. There are various mechanisms by which, transfer of heat takes place i.e. thermal conduction, convection, radiation or by change of phase. All these mechanisms have their own specific features which sometimes occur simultaneously within the same system.