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Determine the magnitude and coordinate direction angles z of the resultant force of the two forces acting on the sign at C 2m point A. F1 50 lb Ans: Applying Law of cosines by referring to Fig. FR x 89 Ans: Express z each force in Cartesian vector form and then determine the resultant force FR. Determine sattics x and y components of each force acting on y the gusset plate of a bridge truss. Determine the magnitude of the projected component of F z along AC. Determine the angle u between pipe segments BA and BC.

By applying simple trigonometry to Fig. If you’re interested in creating a cost-saving package for your students, contact your Pearson rep. Using this result to apply the sines law, Fig. The bracket is subjected to the two forces shown. The coordinate direction angles of FR are Resolve the force F2 into components acting along the u v and v axes and determine the magnitudes of the components.

## CHEAT SHEET

The work is protected by local and international copyright laws and is provided solely for the use of instructors in teaching their courses and assessing student learning. Determine the magnitudes of the projected components of z 0.

Note that F3 lies in the x—y plane.

Determine the angle u between BA and BC. Determine the magnitudes of the x, y, z components of F. Applying the law of sines zolutions Fig. Determine the magnitude and coordinate direction angles z of the resultant force, and sketch this vector on the coordinate system. Express F1, F2, and F3 as Cartesian vectors. The coordinate direction angles of F are 1 1 cos cos And the coordinate direction angles are FR x Determine the magnitude and coordinate direction angles of F2.

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

If the resultant force at O has a magnitude of lb and is directed along the negative z axis, determine the force in each chain. Determine the magnitude and direction u of FA so that the y resultant force is directed along the positive x axis and has a magnitude of N. The spur gear is subjected to the two forces caused by z contact with other gears.

Determine the magnitude and coordinate direction angles z of F3 so that the resultant of the three forces is zero. What is the component of force acting along member AB? Determine the magnitude of the projected component of z the lb force acting along the axis BC of the pipe.

The positive sign indicates that this component points in the same direction as uAC.

Determine the angle u between the pipe segments BA and BC. Summing the force soolutions algebraically along the x and y axes, we have: By resolving F1, F2 and F3 into their x, y, and z components, as shown in Figs.

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. Then, apply the sines law, sin u sin Express the force F in Cartesian vector silutions if it acts at the z midpoint B of the rod. We don’t recognize your username or password. Determine the magnitude of the resultant force mechanisc its y direction, measured clockwise from wolutions positive x axis.

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. Enter the email address you signed up with and we’ll email you a reset link.

Determine the magnitude of the resultant force and its y orientation measured counterclockwise from the positive x axis. Determine the magnitude and coordinate direction angles z of the resultant force and sketch this vector on the coordinate system.

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

The plate is suspended using the three cables which exert z the forces shown. B The parallelogram law of addition and triangular rule are shown in Figs. Also, what is the magnitude of the u resultant force? Sign In We’re sorry! The 8-m-long cable is anchored to the ground at A.

### Hibbeler, Instructor Solutions Manual (Download only) for Engineering Mechanics: Statics | Pearson

The unit vectors uEB and uED must be determined first. The coordinate direction angles of FR are FR x The bolt is subjected to the force F, which has components z acting along the x, y, z axes as shown. The coordinate direction angles are FR x Determine the coordinate direction angles of F1. Applying the law of cosines by referring to Fig.

And its coordinate direction angles are FR x – 2. 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.