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?
 

Block on an incline pushed by horizontal 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.
 

Block supported by a force in the incline

 

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.
 

A Block on the incline is supported by force from sliding

 

008 Components of a force at different pairs of axes

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.

 

Force in x-y and x'-y' planes

 

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.
 

Box resting on 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.
 

Components of a force in x, y, u, and v axes

 

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