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

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.

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:

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

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

Find the resultant of the following concurrent forces graphically and analytically: FI=100N 37° counterclockwise from the +x-axis F2-100N 50° clockwise from the -x-axis F3-80 N 233° counterclockwise from the +x-axis

Forces F, P, and T are concurrent. F is acting up to the right at angle α with respect to the x axis, P is directed down to the right at angle β with respect to the x axis and T is directed to the left along the x axis. Determine: The value of F and α if T=450N, P=250N, β=30^0, and the resultant is 300N acting up to the y axis The value of F and α if T=450N, P=250N, β=30^0, and the resultant is zero. The value of α and β if T=450N, P=250N, F=350N and the resultant is zero

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Three forces act at point O. If it is known that the y-component of the resultant R is -3.5 kN and that the z-component is 3.3 kN, determine F3, θ, and R.