# inclined axes

## Problem 507 | Friction

**Problem 507**

The 2225-N block shown in Fig. P-507 is in contact with 45° incline. The coefficient of static friction is 0.25. Compute the value of the horizontal force P necessary to (a) just start the block up the incline or (b) just prevent motion down the incline. (c) If P = 1780 N, what is the amount and direction of the friction force?

## Problem 310 - 311 | Equilibrium of Concurrent Force System

**Problem 310**

A 300-lb box is held at rest on a smooth plane by a force P inclined at an angle θ with the plane as shown in Fig. P-310. If θ = 45°, determine the value of P and the normal pressure N exerted by the plane.

## 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.