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March 2011

231 Force P producing a clockwise moment about the origin

Problem 231
A force P passing through points A and B in Fig. P-231 has a clockwise moment of 300 ft-lb about O. Compute the value of P.
 

Three points in XY plane (A, B, and O)

 

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230 Distance from truss member to truss joint

Problem 230
For the truss shown in Fig. P-230, compute the perpendicular distance from E and from G to the line BD. Hint: Imagine a force F directed along BD and compute its moment in terms of its components about E and about G. Then equate these results to the definition of moment M = Fd to compute the required perpendicular distances.
 

Symmetrical Truss

 

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229 Y-coordinate of the point of application of the force

Problem 229
In Fig. P-229, find the y-coordinate of point A so that the 361-lb force will have a clockwise moment of 400 ft-lb about O. Also determine the X and Y intercepts of the line of action of the force.
 

Point of application of a force

 

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Example 03 | The General Power Formula

Problem
Integrate $\displaystyle \int \dfrac{dx}{\sqrt[7]{x^2}}$.
 

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Example 02 | The General Power Formula

Problem
Evaluate $\displaystyle \int \sqrt{ax + b} ~ dx$.
 

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Example 01 | The General Power Formula

Problem
Evaluate $\displaystyle \int \left( \sqrt{x} + x\sqrt{x} + \dfrac{1}{\sqrt{x}} \right) \, dx$
 

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228 Intercepts of the resultant force

Problem 228
Without computing the magnitude of the resultant, compute where the resultant of the forces shown in Fig. P-228 intersects the x and y axes.
 

Two concurrent forces in rectangular grid

 

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227 - Moment of resultant force about a point

Problem 227
Two forces P and Q pass through a point A which is 4 m to the right of and 3 m above a moment center O. Force P is 890 N directed up to the right at 30° with the horizontal and force Q is 445 N directed up to the left at 60° with the horizontal. Determine the moment of the resultant of these two forces with respect to O.
 

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