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B The parallelogram law of solutipns and triangular rule are shown in Figs. The unit vector uAC must be determined first. Resolve each force acting on the gusset plate into its x and y y components, and express each force as a Cartesian vector.

Determine the magnitude of force F so that the resultant 14 kN F force of the three forces is as small as possible. The two mooring cables exert forces on the stern of a ship enngineering as shown. Express z this force as a Cartesian vector acting on A and directed toward B as shown.

The positive sign indicates that this component points in the same direction as uCA. Determine the coordinate direction angles of the force F1 z and indicate them on the figure. Applying the sines law of referring to Fig.

Determine the magnitude and coordinate direction angles of z the resultant force acting at point A on the post. Determine the angle u between the y axis of the pole and ] the wire AB.

F1 50 lb Ans: If the resultant force acting on the manula is required to be y a minimum, determine the magnitudes of F1 and the F1 u resultant force.

Resolve b this force into two components acting along the lines aa F a and bb. Two forces F1 and F2 act on the screw eye. Using this result to apply Law of sines, Fig.

### Engineering Mechanics: Statics () :: Homework Help and Answers :: Slader

From 4 ft Fig. Determine the magnitude and direction of the resultant force, y measured counterclockwise from the positive x axis. Determine the angle u between the two cables attached to z the pipe.

Applying the law of consines to Fig. The positive sign indicates that this component points in the same direction as uBA. Resolve the force Engimeering into components acting along the u v and v axes and determine the magnitudes of the components.

## CHEAT SHEET

Applying the law of cosines by referring to Fig. Summing the force components along x and y axes algebraically by referring to Fig.

Determine the magnitude and orientation u of FB so that y the resultant force is directed along the positive y axis and FB has a magnitude of N. Applying the law of sines to Fig. Express the force as a Cartesian vector. Determine the x and y components of each force acting on y the gusset plate of a bridge truss. The window is held open by cable AB. Determine the z length of the chain, and express the lb force acting at A along the chain as a Cartesian vector and determine its 5 ft coordinate direction angles.

## Instructor Solutions Manual (Download only) for Engineering Mechanics: Statics, 13th Edition

Determine the magnitude of the projected component of F z along AC. Applying Law of cosines by referring to Fig.

The direction angle u of FR, Fig. Determine the length of the connecting rod AB by first y formulating a Cartesian position vector from A to B and then determining its magnitude. The chandelier is supported by three chains which are z concurrent at point O.

Determine the magnitude and coordinate direction angles z of mechanica resultant force and sketch this vector on the coordinate system. Sign Up Already have an access code? And its directional angle u measured clockwise from the positive x axis is Signed out You have successfully signed out and will be required to sign back in should you need to download more resources.

By applying simple trigonometry to Fig. Determine the magnitudes of the x, y, z components of F. F2 lb 0. Note that F3 lies in the x—y plane.

Determine the magnitude of the resultant force and its meechanics orientation measured counterclockwise from the positive x axis. By referring to Fig. Represent each force as a Cartesian vector and determine the magnitude and coordinate direction angles of the resultant. Applying law of cosines to Fig. The positive sign indicates that this component points in the same direction as uAC. Summing the force components algebraically along the x and y axes, we have: Express force F in Cartesian vector form if point B is z located 3 m along the rod mechsnics C.

And its coordinate direction angles are F2 x –