Three forces act at point O. If it is known that the y-component of the resultant R is -3.9 kN and that the z-component is 3.0 kN, determine F3, 0, and R. Answers: F2 = 5.0 kN F₁ = 4.3 KN F3= KN 0 = R = KN

Express the 40 lb force in the rope from point A to point C in cartesian format. Point C is in the x-y plane and at an angle of 20 degrees from the y axis as shown. 4 ft 20 lb A B 3 ft X 40 lb Z 2 ft 1.5 ft 4.87i+27.6j - 28.5k lb -4.87i+27.6j + 28.5k lb -4.87i+27.6j - 28.5k lb 4.87i+22.8j - 32.5k lb 2 ft 20 y C

To find the resultant of multiple forces using Cartesian components and to determine the direction of this resultant from its components.   As shown, three forces act on the tip of a pole. F1=−50 i +125 j +45 k lb. F2=120 lb and forms the following angles with the x, y, and z axes, respectively: α=53.7∘, β=69.1∘, and γ=136.3∘. F3=120 lb forms the angle ϕ=30∘ with the z-axis and forms the angle θ=35∘ between the x-axis and the projection of F3 in the xy plane.   1) Find the resultant of adding F1, F2, and F3.   2) For the given forces, F1, F2, and F3, find the three direction angles αR, βR, and γR between the resultant force R123 found in Part B and the x, y, and z axes, respectively.

3. The rectangular block is to be pulled out of the ground using two strings A and B. String A is subjected to a force of 600 lb and is directed 60 degrees with the +x- axis. If the net force acting on the block is to be 1200 Ib, vertically upward, solve for the force T in string B and its direction angle 0. 600 Ib 60°

Q3b. Force vectors F1 and F2 act on body P with the resultant force vector R. The resultant force R = 350 N and the angle between R and the x-axis is of 35°. If F1 = 180 N and the angle between F1 and the x-axis is 72°, determine the angle between F2 and the x-axis. Assume coplanar vector forces and give your answer in degrees to two decimal places. y F1 R F2 Body, P Answer:

Q (2): Find the value of a if the resultant of the two forces lies on an axis. Also find the value of the product of the two forces. SOON 425 N 30

Q5- Find w2 and angle a in a way to have a resultant force of zero at point o. w2 110 N 40% W1 =250N

2/78: Determine the resultant R of the four forces acting on the gusset plate. Also find the angle e, which the resultant makes with the x-axis. 50 kN 30 kN 20 60 kN 40° 40 kN

Given the Position vector R= 2i -j+ 3k (m) and the Force vector F = i+j+k (kN) Determine the angle in degrees between the two vectors. Answer:

Four forces act on bolt A as shown. Determine the resultant of the forces on the bolt.