2.81 A force acts at the origin of a coordinate system in a direction defined by the angles 0, = 75° and 0. = 130°. Knowing that the y component of the force is +300 lb, determine (a) the angle 0,, (6) the other components and the magnitude of the force. %3|

2.127. The two segments of the L-shaped bar are parallel to the x and z axes. The rope AB exerts a force of magnitude IFI = 500lb on the bar at A. Determine the cross product ICB X F, where ICB is the position vector from point C to point B. 7 4 ft F (6,0,4) f

Q3: Determine the (magnitude and direction) of the resultant (R) of two forces by the use of (a) cosine and sine laws? (b) The resultant form?

3.1 Determine the resultant force acting on the hook.

H.3.6. a) Determine the magnitude of the moment of the 600 N force about A by calculating the perpendicular distance from A to the line of action of the force. (Scalar Analysis). b) Determine the magnitude of the moment of the 600 N force about A. (Vector Analysis). 0.8 m Z 600i (N) A (0.6, 0.5, 0.4) m X

2. Knowing that a = 40°, determine the resultant of the three forces shown. so lb 120 Ib 60 lh 20

what is the magnitude and direction of the resultant in the x, y, and z directions

2.10 Two forces are applied as shown to a hook support. Knowing that. Knowing that the magnitude of P is 35 N, determine by trigonometry (a) the required angle a if the resultant R of the two forces applied to the support is to be horizontal, (b) the corresponding magnitude of R. Answer 50 N P 25° a G

For the hook support of Prob. 2.10, determine by trigonometry (a) the magnitude and direction of the smallest force P for which the resultant R of the two forces applied to the support is horizontal, (b) the corresponding magnitude of R.(Reference to Problem 2.10):Two forces are applied as shown to a hook support. Knowing that the magnitude of P is 35 N, determine by trigonometry (a) the required angle aif the resultant R of the two forces applied to the support is to be horizontal, (b) the corresponding magnitude of R.

Problem 1. R is the resultant of four force system K, L, M and P acting on a body. Determine the angle and magnitude of force L. K = 200 N 35° P = 1200 N 43.59 40 R= 370.75 N M = 900 N