# 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 counterclockwise moments as positive, compute the moment of force F = 200 kg and force P = 165 kg about points A, B, C, and D.

## 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?

## 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.

## 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.

## 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.

## 008 Components of a force at different pairs of axes

**Problem 008**

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

- Find the y-component of P with respect to x and y axis.
- Find the y'-component of P with respect to x' and y' axis.
- Find the y-component of P with respect to x' and y axis.
- Find the y'-component of P with respect to x and y' axis.

## 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.

## 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.