homogeneous charge of solid propellant for a rocket is in the shape of the circular

Chapter 5, Problem 5/244

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A homogeneous charge of solid propellant for a rocket is in the shape of the circular cylinder formed with a concentric hole of depth x. For the dimensions shown, plot \(\bar{X}\) the x-coordinate of the mass center of the propellant, as a function of the depth x of the hole from x = 0 to x = 600 mm. Determine the maximum value of \(\bar{X}\) and show that it is equal to the corresponding value of x.

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