233 A force creating counterclockwise and clockwise moments Jhun Vert Sat, 04/18/2020 - 01:43 pm

Problem 233
In Fig. P-231, a force P intersects the X axis at 4 ft to the right of O. If its moment about A is 170 ft·lb counterclockwise and its moment about B is 40 ft·lb clockwise, determine its y intercept.
 

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

 

232 Moment of a force about points O and B Jhun Vert Sat, 04/18/2020 - 01:34 pm

Problem 232
In Fig. P-231, the moment of a certain force F is 180 ft·lb clockwise about O and 90 ft·lb counterclockwise about B. If its moment about A is zero, determine the force.
 

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

 

231 Force P producing a clockwise moment about the origin Jhun Vert Sat, 04/18/2020 - 01:26 pm

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)

 

230 Distance from truss member to truss joint Jhun Vert Sat, 04/18/2020 - 01:17 pm

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

 

229 Y-coordinate of the point of application of the force Jhun Vert Sat, 04/18/2020 - 01:03 pm

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. Side slope of the force is 3 horizontal and 2 vertical.
 

Point of application of a force

 

228 Intercepts of the resultant force Jhun Vert Sat, 04/18/2020 - 12:53 pm

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

 

227 - Moment of resultant force about a point Jhun Vert Sat, 04/18/2020 - 12:51 pm

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.
 

Couples

Couple is a system of forces whose magnitude of the resultant is zero and yet has a moment sum. Geometrically, couple is composed of two equal forces that are parallel to each other and acting in opposite direction. The magnitude of the couple is given by
 

$C = Fd$

 
Where $F$ are the two forces and $d$ is the moment arm, or the perpendicular distance between the forces.