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- Copy of Vector F₁ = 625 N makes an angle of 2700 when rotated counterclockwise from the +x axis. Vector F2 = 875 N makes a 1200 angle from Vector F1 when rotated counterclockwise. What is the direction of the vector needed to balance the two forces? O 170° O-31⁰ 0 00 O-32⁰ O 166⁰ O-180° O 270⁰ O 186⁰There are two forces on the 2 kg box in the overhead view of the figure, but only one is shown. For F1 20N, a = 12m/s² and 0 = 30°. A) Find the second force in unit-vector notation B) Find the angle between the second force and the x- axis.Calculate the resultant of the force system shown in N 120 N 80 N 150 N 30° 40° 35°
- The system has a resultant force of 1000 N along positive x-axis. Determine angle theta of the force F.Determine the magnitude of the x- component of force Q (in N) if P=96.4 N, Q = 55.2 N , 0= 55.53° and a = 49.46°.Round off only on the final answer expressed in 3 decimal places. Instead of units, indicate the direction of the x-component. Use R if to the right, L if to the left, U if upward or D if downward. y PThe magnitudes of the forces as shown in the figure are: F_1 = 80.0N, F_2 = 60.0N and F_3 = 40.0N. a) Determine the components of the force, b) the resultant force acting on the particle, and c) the direction of the resultant force.
- wo forces are acting on a 1.08 kg object. One force is directed completely in the negative x direction and has a magnitude of 8.3 N, The second force has a magnitude of 7.5 N and is directed 28∘28∘ to the right of the negative y axis. Assume standard Cartesian coordinates. Find the magnitude of the acceleration of the objectThree forces of A, B & C act on a bolt as shown in the figure below. Where A = 3000 N, B = 2500 N and C = 2700 N. Find the resultant force magnitude and direction. (A 32 B 54° 35° C Resultant Force = 3670 N, Direction = 125° Resultant Force = 3870 N, Direction = 135° Resultant Force = 3550 N, Direction = 115° O Resultant Force = 3950 N, Direction = 105°Consider the force vectors of the figure below. y component y component 30 300 F' 30 F' x component 45° F= 300 N F=500 N What is the magnitude of E,, in kN? X component
- Given the following information on Forces A, B, C:A = 200 N (theta = 30, phi = 50)B = 300 N (h = 4m, v=10m)C = 400 NWhat is the resultant of these three forces?Three force vectors act on a free body at the origin as shown. F1= 4 N F2=2.0 i + 3.1 J N F3= 6.3 N at 35° relative to positive x axis. a) Report the unit vector in the direction of F3 (in unit vector or i,j,k notation to 4 sig figs) b)Calculate the resultant force R, which is the sum of the three forces F1,F2, and F3 (in unit vector or i,j,k notation to 4 sig figs)A force is specified by the vector F = (190i + 80j - 100k) N. Calculate the angles made by F with the positive x-, y-, and z-axes. Answers: O ex= i i