inclined axes

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
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.
 

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.
 

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.

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.
 

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.
 

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