Determine the resultant of the force system shown in fig. and the angle e ?which the resultant makes with x-axis 50 kN 30 kN y 20° 20° 60 kN 40° 40 kN R= 54.469 kN e= 25.1 O R= 27.234 kN e= 25.1 O
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- Find the internal force systems acting on sections 1 and 2.For the following structure, determine the internal forces at the midpoint between B and C. Angle ? is equal to 60°.If the component of a force along x-axis is Fx = 20 kN and along y-axis is Fy = 30 kN, and if “t” is an axis making an angle of 30o in the clockwise direction with respect to x-axis, what would be the components of this force Ft and Fn along the orthogonal axes “t” and “n”, respectively? Select one: Ft = 32.32 kN and Fn =15.98 kN Ft = 2.32 kN and Fn = 35.98 kN Ft = 15.98 kN and Fn = 32.2 kN Ft = 35.98 kN and Fn = 2.32 kN
- Determine the algebraic sum of the moments of forces relative to a point in F = 10.0 N; m =9.0 Nm, q =8.0 N/mIf the component of a force along x-axis is Fx = 20 kN and along y-axis is Fy = 30 kN, and if “t” is an axis making an angle of 30o in the counter clockwise direction with respect to x-axis, what would be the components of this force Ft and Fn along the orthogonal axes “t” and “n”, respectively? Select one: Ft = 2.32 kN and Fn = 35.98 kN Ft = 15.98 kN and Fn = 32.32 kN Ft = 35.98 kN and Fn = 2.32 kN Ft = 32.32 kN and Fn =15.98 kNDetermine the sum of the moments created by the forces shown in the accompanying figure about point A
- Using a suitable figure show that the resultant of two co-plainer, concurrent forces 'P' & 'Q' having '0' angle between them, can be written in the form of, R = square root of P^2+ Q^2 + 2PQ cos theta. Hence derive an expression for the resultant force if the angle between the forces is 90°.Determine the resultant of the following concurrent forces: 8 N, 60o N of E and 40N, 45o N of W using: a. law of sine and cosine, andb. parallelogram method For b use the scale: 2N =1 cm.Determine the position of the resultant along the y-axis of the system of concurrent forces having the following magnitudes and passing through the origin and the indicated points: P=520 lb (+8,-6,+5), T=270 lb (-3,-4, +10), F=280 lb (+5,-3,-6). a.) 67.73° b.) None of the above c.) 49.61° d.) 131.38° e.) 48.62°
- PROBLEM 3: A pole AB is being lifted using cables BC and BD. The pole is tilted at an angle of 60⁰ from the horizontal (from xy-plane) and the tensions in BC and BD are 26.1 and 11.3 kN, respectively. [7] Determine the coordinates of B. Answer format: (x, y, z) (ANSWER: 6.00, 0.00, 10.39 m) [8] Calculate the magnitude of the resultant of the two tensions BC and BD acting at B. (ANSWER: 36.04 KN) [9] Calculate the directional angle of the resultant of tensions BC and BD acting at B with respect to the z-axis (γ). (ANSWER: 135.969⁰) and with respect to the y-axis (β). (ANSWER: 103.611⁰).Determine the magnitude and direction of the resultant of the following forces: 50 N at 50 degrees,60 N at 120 degrees,40 N at 220 degrees,30 N at 330 degrees. All angles are measure from the positive x-axis. Use the component method. Select one: a. 75 N: 42º b. 50 N: 87º c. 54 N: 87º d. 101 N: 89ºBased on the figure, graphically determine the magnitude, direction, and direction of the resultant of two forces using (a) the parallelogram law and (b) the triangle rule. Explain the results obtained