Compute the y-component of the resultant of the concurrent forces shown in N. P1 = 299 N, P2 = 444 N, P3 466 N, P4 = 172 N, 0119, 02-32, and 03 - 39. Write numerical value only in 2 decimal places. O P1 P4 0₁ 0₂ + Y 0₁ P3 - + X P2
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Q: What is the x-component of the net Force (F= F1+F₂) measured in N? F₂=18N 50 F₁=30N x
A: The x - component of the net Force (F = F1 + F2) is 3.48 N
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- A) what is the x component of the resultant force? B) what is the y component of the resultant force? C) what is the magnitude of the resultant force?Problem 10: Show how to resolve each force into its x, y, z components. Set up the calculation used to find the magnitude of each component. (a) F-600 N (b F = 500 NQuestion Four forces (measured in Newtons) act on a crate. The forces are given by the vectors: F₁ = 212i-136j + 241k N, F₂ = = 108i + 144j+ 189k N. F₂ = -400 + 180j + 240k N, and F₂ = -270€ N a) What is the resultant, R = F₁+F₂ + F3 + F4, of the four forces? What is the magnitude of the resultant force? b) If the displacement of the crate is given by d = 0.5i - 0.1j + 2.7k m What is the contribution by the first force F₁ to the work done, i.e. W = F₁. d? c) If the third force, F3, acts at the point (0.5, 0.8,0.1) m, what is the moment, M = r X F3, at the point (-0.5,0.8,0.7) m? d) What is the angle (in degrees to 2 decimal places) between the force vectors F₂ and F3? e) What is the force vector, F, that acts in the opposite direction to the force F₂ and has magnitude of 203 Newtons?
- Two ropes hold a crate with weight (w) of 125 N as shown below. Find the tensions T1 and T2 in the ropes. (Hint: Move the vectors so that they are tail to head to form a triangle. The vector sum of T1 + T2 must equal the crate weight for equilibrium.) 42.0° 30.0° T т, Crate W O T1 = 114 N & T2 = 88 N O T1 = 114 N & T2 = 98 N O T1 = 124 N & T2 = 88 N O T1 = 134 N & T2 = 68 NExpress the forces F₁, F2 in vector form. Determine the vector expression for the resultant R of two forces. Find the magnitude and coordinate direction angles of resultant R with x, y and z axis. 6 ft 13/12 2.5 ft 4 ft F₁-80 lb A F₁-50 lbF = (-30i + 60j + 60k )kN %3D Forces are concurrent at point O. Determine the magnitude of the resultant of the three vectors. a 71.5 kN b 187 kN F, = (60i – 20j+ 15k )kN c 116 kN d 83.7 kN Determine the angle between F, andF,. F, = (20j – 25k)kN X а 111° b 132° c 69.0° d 21.0° Select the expression that denotes a unit vector in the direction and sense of F,. a 0.625j -0.781k b 0.625i -0.781j c -0.625 j –0.781k d 0.625i +0.781j
- A variable force F(x)=Ax2-Bx acts on an object. The units of F(x) are N and the values of A and B are A=6.09 and B=3.18 when x is in meters. The units of A and B are?Two hockey players check an opponent into boards simultaneously. Player 1 hits from the left at an angle of 37 degrees to horizontal and a force of 400N. Player 2 hits from the left at an angle of 41 degrees to horizontal and a force of 600N. What is the magnitude and direction of total force applied to opposing playerWhat is the y-component of the net Force (F = F+F2) measured in N? F=18N 50 山 300 F=30N X
- Fig. P3-2 33 A homogeneus cylinder weighing 00 Ib sts against two smooth planes that form a trough as shown in Fip. P3. Determine the forces exerted on the cylinder by the planes at contact points A and 8. Fig. P3F1 F2 Given that F1 825 N, F2 = 630 N, and a = 32° , determine the magnitude of the resultant force and its direction measured counterclockwise from the positive x axis. . The magnitude of the resultant force in N is (round to two decimal places) : N The direction of the resultant force in degrees is (round to two decimal places) : degreesFigure x Part A - Moment due to a force specified by magnitude and endpoints F As shown, a member is fixed at the origin, point O, and has an applied force F, the tension in the rope, applied at the free end, point B. (Figure 1) VE ΑΣΦ ↓↑ vec Mo 0.013,97.9, - 196 Submit The force has magnitude F = 140 N and is directed as shown. The dimensions are x₁ = 0.450 m, x₂ = 1.70 m, y₁ = 2.60 m, and z₁ = 1.30 m. B What is the moment about the origin due to the applied force F? Express the individual components of the Cartesian vector to three significant figures, separated by commas. ► View Available Hint(s) Previous Answers X Incorrect; Try Again; 4 attempts remaining 1 of 3 ? i, j, k] N · m