Express force F as a Cartesian vector; then determine its direction an

1.	Express force F as a Cartesian vector; then determine its direction angles.
A.	<b>F<b></b> = (-2<b>i<b></b> +<b>j<b></b>+2<b>k<b></b>) kN, <sub><img src="/_files/images/engineering-mechanics/alpha.png"></sub> = 48.2 , <sub><img src="/_files/images/engineering-mechanics/beta.png"></sub> = 70.5 , <sub><img src="/_files/images/engineering-mechanics/gamma.png"></sub> = 48.2 </b></b></b></b>
B.	<b>F<b></b> = (-2<b>i<b></b> +<b>j<b></b>+2<b>k<b></b>) kN, <sub><img src="/_files/images/engineering-mechanics/alpha.png"></sub> = 131.8 , <sub><img src="/_files/images/engineering-mechanics/beta.png"></sub> = 70.5 , <sub><img src="/_files/images/engineering-mechanics/gamma.png"></sub> = 48.2 </b></b></b></b>
C.	<b>F<b></b> = (-4<b>i<b></b> +<b>j<b></b>+4<b>k<b></b>) kN, <sub><img src="/_files/images/engineering-mechanics/alpha.png"></sub> = 48.2 , <sub><img src="/_files/images/engineering-mechanics/beta.png"></sub> = 70.5 , <sub><img src="/_files/images/engineering-mechanics/gamma.png"></sub> = 48.2 </b></b></b></b>
D.	<b>F<b></b> = (-4<b>i<b></b> +2<b>j<b></b>+4<b>k<b></b>) kN, <sub><img src="/_files/images/engineering-mechanics/alpha.png"></sub> = 131.8 , <sub><img src="/_files/images/engineering-mechanics/beta.png"></sub> = 70.5 , <sub><img src="/_files/images/engineering-mechanics/gamma.png"></sub> = 48.2 </b></b></b></b>
Answer» C. <b>F<b></b> = (-4<b>i<b></b> +<b>j<b></b>+4<b>k<b></b>) kN, <sub><img src="/_files/images/engineering-mechanics/alpha.png"></sub> = 48.2 , <sub><img src="/_files/images/engineering-mechanics/beta.png"></sub> = 70.5 , <sub><img src="/_files/images/engineering-mechanics/gamma.png"></sub> = 48.2 </b></b></b></b>

Discussion

No Comment Found

Related MCQs

The three forces acting on the water tank represent the effect of the wind. Replace this system by a single resultant force and specify its vertical location from point O.
Determine the magnitude and direction of the couple moment.
Replace the loading by an equivalent force and couple moment acting at point O.
The bricks on top of the beam and the supports at the bottom create the distributed loading shown in the second figure. Determine the required intensity w and dimension d of the right support so that the resultant force and couple moment about point A of the system are both zero.
Determine the magnitude of the x and y components of the 700-lb force.
The cable AO exerts a force on the top of the pole of F = { 120i 90j 80k} lb. If the cable has a length of 34 ft, determine the height z of the pole and the location (x,y) of its base.
The cord is attached between two walls. If it is 8 m long, determine the distance x to the point of attachment at B.
The main beam along the wing of an airplane is swept back at an angle of 25 . From load calculations it is determined that the beam is subjected to couple moments aMx = 25,000 lb ft and My = 17,000 lb ft. Determine the equivalent couple moments created about the x' and y' axis.
The principles of a differential chain block are indicated schematically in the figure. Determine the magnitude of force P needed to support the 800-N force. Also compute the distance x where the cable must be attached to bar AB so the bar remains horizontal. All pulleys have a radius of 60 mm.
Compute the force in each member of the Warren truss and indicate whether the members are in tension or compression. All the members are 3 m long.

Express force F as a Cartesian vector; then determine its direction angles.

Discussion

No Comment Found

Related MCQs

Reply to Comment