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- Determine the magnitude of the vector difference V' = V₂ - V₁ and the angle 0x which V' makes with the positive x-axis. Complete both (a) graphical and (b) algebraic solutions. Assume a = 4, b = 8, V₁ = 16 units, V₂ = 19 units, and 0 = 59° V₂ V₁ Answers: (a) V' = (b) 0x= 20.4 i 68.5 unitsA vector F represents a force that has a magnitude of 8 lb and π/3 is the radian measure of its direction angle. Find the work done by the force in moving an object (a) along the x -axis from the origin to the point (6, 0) and (b) along the y-axis from the origin to the point (0, 6). Distance is measured in feet.25. Vector A points in the positive x direction and has a magnitude of 75 m. The vector C = A + B points in the positive y direction and has a magnitude of 95 m. (a) Sketch A, B₁ and c. (b) Estimate the magnitude and direction of the vector B. (c) Verify your →>> estimate in part (b) with a numerical calculation.
- The minute hand of a wall clock measures 24 cm from its tip to the axis about which it rotates. The magnitude and angle of the displacement vector of the tip are to be determined for three time intervals. What are the magnitude and angle from a quarter after the hour to half past, the magnitude and angle for the next half hour, and the magnitude and angle for the hour after that? (Use a coordinate system with the origin at the clock center, +x rightward toward the "3:00" position, and +y upward toward the "12:00" position.) (a) the magnitude from a quarter after the hour to half past cm(b) the angle from a quarter after the hour to half past ° (counterclockwise from the +x-axis)(c) the magnitude for the next half hour cm(d) the angle for the half hour in part (c) ° (counterclockwise from the +x-axis)(e) the magnitude for the hour after that cm(f) What is the angle for the hour in part (e) ° (counterclockwise from the +x-axis)(3, v3) moves an object along a straight line from the point (0, 1) to the point 6. A constant force F = (V3, 4). Find the distance D (as a vector). Find the work done by the Force over this distance. Find the cosine of the angle between the force F and the distance D.A force of 6 pounds acts in the direction of 40° to the horizontal. The force moves an object along a straight line from the point (5, 9) to the point (8, 20), with the distance measured in feet. Find the work done by the force
- Part (D) of the photo attachedVector A is 35 m long and makes an angle of 60° clockwise from the positive Y-axis. Vector B is 55m long points along the negative X-axis. Compute the magnitude and direction of the resultant of these two vectors.Find a unit vector which is perpendicular to both đ = (1, 1, 0) and b = (-2, 3, 0) Answer:
- Just explain thx(5) A force F = 50 N is exerted on the automobile parking-brake lever at the position x = 250 mm. Replace the force by an equivalent force-couple system at the pivot point O. Ans: F-17.10 +47.0ĵN, Mo 17.29 N·m CCW OA = OB F 20° 15° 100 mm 10°y = -x (b) Use it to project the vector v =