component method

Problem 314 | Equilibrium of Concurrent Force System

Problem 314
The five forces shown in Fig. P-314 are in equilibrium. Compute the values of P and F.
 

314-given-concurrent-force-system.gif

 

Problem 313 | Equilibrium of Concurrent Force System

Problem 313
Figure P-313 represents the concurrent force system acting at a joint of a bridge truss. Determine the value of P and E to maintain equilibrium of the forces.
 

313-given-concurrent-forces.gif

 

Problem 312 | Equilibrium of Concurrent Force System

Problem 312
Determine the magnitude of P and F necessary to keep the concurrent force system in Fig. P-312 in equilibrium.
 

312-concurrent-forces.gif

 

015 Solving for a force and its angle and angle of two forces with given resultant

Problem 015
Forces F, P, and T are concurrent and acting in the direction as shown in Fig. P-015.

  1. Find the value of F and α if T = 450 N, P = 250 N, β = 30°, and the resultant is 300 N acting up along the y-axis.
  2. Find the value of F and α if T = 450 N, P = 250 N, β = 30° and the resultant is zero.
  3. Find the value of α and β if T = 450 N, P = 250 N, F = 350 N, and the resultant is zero.

 

014 Solving for force with given resultant

Problem 014
Forces in 1st and 4th quadrantsFrom Fig. P-014, P is directed at an angle α from x-axis and the 200 N force is acting at a slope of 5 vertical to 12 horizontal.

  1. Find P and α if the resultant is 500 N to the right along the x-axis.
  2. Find P and α if the resultant is 500 N upward to the right with a slope of 3 horizontal to 4 vertical.
  3. Find P and α if the resultant is zero.

 

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

 

012 Resultant of two velocity vectors

Problem 012
Find the resultant vector of vectors A and B shown in Fig. P-012.
 

Two downward velocity vectors

 

011 Resultant of three forces acting in a ring

Problem 011
Three ropes are tied to a small metal ring. At the end of each rope three students are pulling, each trying to move the ring in their direction. If we look down from above, the forces and directions they are applying are shown in Fig. P-011. Find the net force on the ring due to the three applied forces.
 

Three forces acting in a ring

 

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