rotated axes

Problem 413 Crane by Method of Joints

Problem 413
Determine the force in each member of the crane shown in Fig. P-413.
 

413-crane.gif

 

Solution 413

Problem 407 Cantilever Truss - Method of Joints

Problem 407
In the cantilever truss shown in Fig. P-407, compute the force in members AB, BE, and DE.
 

407-cantilever-truss.gif

 

Problem 406 Cantilever Truss - Method of Joints

Problem 406
The cantilever truss in Fig. P-406 is hinged at D and E. Find the force in each member.
 

406-cantilever-truss.gif

 

Problem 318 | Equilibrium of Concurrent Force System

Problem 318
Three bars, hinged at A and D and pinned at B and C as shown in Fig. P-318, form a four-link mechanism. Determine the value of P that will prevent motion.
 

Four-link mechanism

 

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.
 

314-given-concurrent-force-system.gif

 

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

 

Problem 309 | Equilibrium of Concurrent Force System

Problem 309
A cylinder weighing 400 lb is held against a smooth incline by means of the weightless rod AB in Fig. P-309. Determine the forces P and N exerted on the cylinder by the rod and the incline.
 

Problem 308 | Equilibrium of Concurrent Force System

Problem 308
The cable and boom shown in Fig. P-308 support a load of 600 lb. Determine the tensile force T in the cable and the compressive for C in the boom.
 

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

 

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.
 

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