box
007 Components of a force parallel and perpendicular to the incline

Problem 007
A block is resting on an incline of slope 5:12 as shown in Fig. P-007. It is subjected to a force F = 500 N on a slope of 3:4. Determine the components of F parallel and perpendicular to the incline.
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56 - 57 Maxima and minima problems of square box and silo
Problem 56
The base of a covered box is a square. The bottom and back are made of pine, the remainder of oak. If oak is m times as expensive as pine, find the most economical proportion.
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29 - 31 Solved problems in maxima and minima
Problem 29
The sum of the length and girth of a container of square cross section is a inches. Find the maximum volume.
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25 - 27 Solved problems in maxima and minima
Problem 25
Find the most economical proportions of a quart can.
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21 - 24 Solved problems in maxima and minima
Problem 21
Find the rectangle of maximum perimeter inscribed in a given circle.
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15 - 17 Box open at the top in maxima and minima
Problem 15
A box is to be made of a piece of cardboard 9 inches square by cutting equal squares out of the corners and turning up the sides. Find the volume of the largest box that can be made in this way.
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