A) Find F1, F2, and F3 in rectangular coordinates. B) Find the force F4 required to maintain the particle in 3D equilibrium. C) Find the direction cosine angles for the force F4.
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- III. Determine the internal normal force, shear force, and bending moment at point A and point C in the cantilever beam under a linear-distribution force. 200 N/m A B →X 5 m 5 m9A uniform ladder is 10m long and weighs 400 N. It rests with its upper end against a frictionless vertical wall. Its lower end rests on the ground and is prevented from slipping by a peg driven into the ground. The ladder makes a 30? angle with the horizontal. The magnitude of the force exerted on the peg by the ladder is: A. zero B. 200N C. 400N D. 470N E. 670N
- Calculate the reaction on the supports, draw a shear force diagram, and a bending moment diagram.5. I. In evaluating the moment of a planar lamina, a horizontal strip cannot be used as a representative area.II. The moment of any planar lamina is the product of the mass of the region and its centroid. a. Both statements are true b. Both statements are false c. Statement I is true, the latter being false d. Statement I is false, the latter being trueA horizontal force F → is applied to a uniform sphere in direction exact toward the center of the sphere, as shown below. Find the magnitude of this force so that the sphere remains in static equilibrium. What is the frictional force of the incline on the sphere?
- Determine the magnitude of F if the particle is in equilibrium given that θ = 26° and P = 134 .The 465-kg uniform I-beam supports the load shown. Determine the reactions at the supports. Answers: Ax= Ay= By= i -5.9 m- 3.1 m 200 kg zzz15. Assume that the +a-axis is tilted 45°CCW from the +X- axis, and the b-axis is perpendicular to the a-axis with the +b-axis at 90° from the +a-axis. What is the a- component of the 8-N force? * 14 +13 +12 +y +9 +8 +11 +7 16 +5 +a +4 +3 +4 +3 +2 10 -9 +1 45° -8 -6 -5 -X -3 -2 -1 +2 +3 +4 +5 +6 +7 +8 +9 +10 -2 +X 30 3 -4 8 N -5 -a -7 8 -9 13 -13 -12 -11 -10 -9 -8 -7 -6 4 -3 2 S- +1 +2 +3 +4 +5 +6 +7 +8 +9 +10 +11 +12 +13 +1s
- Determine the magnitudes of the force R and couple M exerted by the nut and bolt on the loaded bracket at O to maintain equilibrium. 2.5 KN Answers: R= 57 i M = i 170 mm. 220 mm 180 mm 1.7 KN KN kN-mQuestion 3 In the methane molecule, CH4, each hydrogen atom is at the corner of a regular tetrahedron with the carbon atom at the center. If one of the C-H is in the direction of A=î+j+k B=î-ĵ-k. results to an angular bond of approximately 109⁰ for a static frozen molecule. However, the molecule we can encounter everyday continuously vibrates and interact with the surrounding causing its bond vector to vary slightly. According to a new spectroscopy analysis, the adjacent bond vectors was found to be A = 0.93i+1.03j + 0.82k B = 0.85i + -0.82j + -1.01k and an adjacent C-H bond is at the direction What is the angle (in degrees) between the bonds based on this new data? Note: Only 1% of error is permitted for the correct answer.A rod is laying on top on two poles. The rod is uniform and has a length of 3.22 m. The left pole is at the left end of the rod and the right pole is a 0.41m (d-0.41m) from the right side of the rod. What is the ratio of the forces F/FR on the rod due to the two poles?