2-66. Determine the coordinate direction angles of F₁.
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Q: 2-89. Determine the magnitude of the projected component of force FAC acting along the z axis. Fлс 3…
A: Vector AC AC→=3msinθi^+cosθj^-9 mk^=3msin30°i^+cos30°j^-9 mk^=1.5 mi^+2.6 mj^-9 mk^
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- Let B = 4.55 m at 60.0°. C and A have equal magnitudes. The direction angle of C is larger than that of A by 25.0°. Let A B = 29.1 m² and BC= 33.9 m². Find the magnitude (in m) and direction (in degrees) of A. magnitude direction m 。Q3) Evaluate vector D = xax + yay at the point where p=7, Φ=0.2π (rad) and z=6.Consider three displacement vectors A = (3x - 3ý) m, B = (- 4y) m,and C = (-28 + 5ý) m. The magnitude and direction of D = A+ B + Č is m and _of %3D %3D O 2.8, 45, S of W O 6.3, 18, S of W O 2.8, 45, N of E O 6.3, 18, N of E
- 9. Given two vectors, a = 4.0Î – 3.0ĵ and 5 = 6.0Î + 8.0ĵ, find the magnitudes and directions (with the +x axis) of (a) a, (b) b, (c) a + b, (d) b − a, and (e) a — b.9. A hoat moves from a point A(4i+5j) to another point across the river. The new position of the boat is given by B (-71-91). The displacement vector is given by b 11i-142-86. Determine the length of the connecting rod AB by first formulating a Cartesian position vector from A to B and then determining its magnitude. Prob. 2-86 NI mm 30 150 mm
- 12-73. When a rocket reaches an altitude of 40 m it begins to travel along the parabolic path (y – coordinates are measured in meters. If the component of velocity in the vertical direction is constant at v, determine the magnitudes of the rocket's velocity and acceleration when it reaches an altitude of 80 m. 40)2 = 160x, where the %3D 180 m/s, (y - 40)2 160x %3D 40 m47. For vectors B = -i – 4j and A = -3i – 2j, calculate (a) A +B and its magnitude and direction angle, and (b) À B and its magnitude and direction angle. 48. A particle underonn thu9. The displacement vectors A T and B shown in Figure P3.9 both have of magnitudes 3.00 m. The direction of vec- 30.0°. Find gra- tor A is 0 phically (a) А+ В, (Ь) А - В (c) B- A, and (d) A – 2B (Report all angles counterclock- wise from the positivex axis.)
- What is the magnitude of the two vetors: A: 4.00 i + 7.00 j and B: 5.00 i - 2.00 j ? What is the expression for A-B? What is the magnitude and direction of A-B? Vector diagram show A, b and A-B, and agrees with the the previous question?Ajy.4What is the vector B inthe same direction as the vector (-55, 56, 22) cm, but with a magnitude of 316 cm? B i !) cm