components of a force

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.
 

226 - Moment of force about different points

Problem 226
In Fig. P-226 assuming clockwise moments as positive, compute the moment of force F = 200 kg and force P = 165 kg about points A, B, C, and D.
 

Forces in rectangular grid

 

017 Computation of force with given component parallel to a frame member

Problem 017
If the force F shown in Fig. P-017 is resolved into components parallel to the bars AB and BC, the magnitude of the component parallel to bar BC is 4 kN. What are the magnitudes of F and its component parallel to AB?
 

Force F on three-hinge frame

 

016 Components of a force parallel to supporting bars

Problem 016
The magnitude of vertical force F shown in Fig. P-016 is 8000 N. Resolve F into components parallel to the bars AB and AC.
 

Force F supported by two bars

 

013 Resultant of three forces with angles greater than 90 degree

Problem 013
Three vectors A, B, and C are shown in the figure below. Find one vector (magnitude and direction) that will have the same effect as the three vectors shown in Fig. P-013 below.
 

Three concurrent forces in absolute directions

 

009 Force with given component parallel to the incline

Problem 009
The body on the 30° incline in Fig. P-009 is acted upon by a force P inclined at 20° with the horizontal. If P is resolved into components parallel and perpendicular to incline and the value of the parallel component is 1800 N, compute the value of the perpendicular component and that of P.
 

A Block on the incline is supported by force from sliding

 

008 Components of a force at different pairs of axes

Problem 008
A force P = 800 N is shown in Fig. P-008.

  1. Find the y-component of P with respect to x and y axis.
  2. Find the y'-component of P with respect to x' and y' axis.
  3. Find the y-component of P with respect to x' and y axis.
  4. Find the y'-component of P with respect to x and y' axis.

 

Force in x-y and x'-y' planes

 

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.
 

Box resting on the incline

 

006 Components of a force in axes that are not perpendicular to each other

Problem 006
The force P of magnitude 50 kN is acting at 215° from the x-axis. Find the components of P in u 157° from x, and v negative 69° from x.
 

005 Components of a force in rotated axes

Problem 005
Find the components in the x, y, u and v directions of the force P = 10 kN shown in Fig. P-005.
 

Components of a force in x, y, u, and v axes

 

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