The three forces F1 = 0.8 kN, F2 = 0.6 kN and F3 act on particle P as in the sketch. F1 = 0.8 kN F2 = 0.6 kN 115° F3 Determine the magnitude and orientation of F3 so that the resulting force has a magnitude of and the magnitude of F3 is a maximum.
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- In the plane forces system, F1 = 3 kN, F2 = 6 kN and F3 = 10 kN. The direction of the force F3 is tan a = %, the moment arm of the force couple is di = 2 m and the action points of the forces are A2 (-2,5), A3 (-4,-4). Find the resultant force R as a vector and calculate the line of action. y F2 A2 H. F3 A32. Particle A lies on the xy plane and is acted on by the three forces shown. Find the resultant of the three forces. Also find the direction cosines of the resultant. y 4.5 m 2.lm A 1400 N 900N 1.8m 1000 N 70.6m B 1,8 m 1.2mThe slope of the 5.0 KN force F is specified as shown in the figure. Express F as a vector in terms of the unit vectors i and j. Assume a = 13, b = 6. Answer: F = ( F b i+ j) KN
- On a particle of mass m = 20gr, three forces F1, F2 and F3 act in the plane of the paper. The forces F2 = 4N, F3 = 3 N and F1 is unknown as indicated in the figure. If a product of the action of these three forces the particle acquires an acceleration a = 0.2m/s2 in the direction θ=20°, determine the direction and the magnitude of the force F1. The alpha angle of the direction of the force F3 is 300°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 PGiven the force F2 and the u and v axes. What are the magnitude (in Newton) of the component of this force along the u and v axes respectively.
- Determine the magnitude of the y-component of the reaction force at pin A (in kN). The beam AB is a standard 0.5 m I-beam with a mass of 95 kg per meter of length. 14 l A 0.25 m 0.5 m 0.12 m 5 m 25° 1.5 m 10 kN BGiven are the three forces F, = (2.27 + 2.2)N, F, = (2.27 - 2.2)N, and F3 = (-2.27 + 2.2) N. Which of the following vectors is net 1 Select one: Oa. R= (-2.2î+2.2) N Ob. R= (2.2î+2.2) N Oc. Ř= (6.6 7+ - 2.2)N Od. R= (2.2î+6.6 ) N Oe. Ř= (2.2 î+2.2) NConsider the four forces to be in equilibrium. The force F2 has a magnitude of 70.0 N and is in the negative x-direction. The force F3 is in the positive y direction. The force F1 makes an angle =25.0o with respect to the positive z-axis. When projected onto the xy plane the force F1 makes and angle of =32.0o with respect to the positive x-axis. What is the magnitude of the force F4 if it is in the negative z-direction? Give your answer in Newton's