Analysis of structures

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v((2v^2) u -3) du + (3u^2) (v^2) - 3u + 4v) dv = 0
A hollow sphere 6 in inside diameter is rotated on a cable at 100 rpm. If the cable is 6 ft long and makes an angle of 30 degrees with the horizontal, what is the pressure in the center of the sphere if it is full of water? what is the equivalent specific weight at that point?
A 1,260-galloon tank is filled by two pipes in as many as the smaller pipe brings in galloons per minute. How long will it take each pipe to fill the tank if the larger pipe brings in one galloon per minute more than the smaller pipe?

help me about this topic, thank you and godbless

can you help me, how to draw bmd for the figure?
Water is flowing through a pipe having diameter 300mm and 200mm at the bottom and upper end respectively. The intensity of pressure at the bottom end is 24.525 N/cm^2 and the pressure at the upper end is 9.81 N/cm^2. Determine the difference of elevation of the two ends if the rate of flow is 40 liters/sec. Assume no head loss.
Help me for the solution of this problem:
What should be the maximum dimensions of a rectangular open box of a given volume V?
z1= 4^(e^[(-i)(π/4)])
z2= -5i
z3= 3√3<30°
Note: < is the angle sign. I don't have symbol for.the angle sign in my keyboard.
Solve for:
[z1^(4cos z4)]/log(sub z1)z3
Please help :(
3y-2yx^2 [ 1 + (ln (2x^3 / 3y^2))^2 ]dx - 2xdy =0
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Max. shear at A = 12.73…
is it not…