# 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.

## 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.

## 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.

## 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.

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

From 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.

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

## 012 Resultant of two velocity vectors

**Problem 012**

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

## 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.