【Daily Question】Theoretical Foundation 2020.01.14

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Multiple-choice question: A force F of 100 N is resolved into components along the x and y directions. If its projection on the x-axis is 50 N, and the magnitude of the component along the z-direction is 200 N, then its projection on the y-axis is ( ) N. A.0 B. 50 C. 200 D. 100 Answer: A According to the parallelogram rule, the force F is broken down into its components Fx and Fy along the x and y axes, as shown in figure (b), where x represents the projection of the force F on the x-axis. Given that x = 50 N and F = 100 N, the angle between the force and the x-axis is 60°. Since F = 100 N and Fx = 200 N, the force F is perpendicular to the y-axis; therefore, the projection of force F on the y-axis is 0. Hint: An additional reward will be given to those who can explain the solution process. The answer can be found in the response!