A decoration hangs at rest from a string. A second, horizontal string is knotted to the first, pulling it to the right, as shown below. The top section of the first string is at an angle of 25° to the vertical. The tension in the horizontal string is 0.8 N. Take the magnitude of the acceleration due to gravity to be 9 = 9.8 ms 2. 25° (a) State the three forces acting on the knot, and draw a force diagram to represent them, labelling the forces appropriately and indicating their directions by marking the sizes of relevant angles. (b) Find expressions for the component forms of the three forces, in terms of unknown magnitudes where appropriate, taking the Cartesian unit vectors i and j to point horizontally and vertically, respectively, in the directions shown above. (c) Find the mass of the decoration, to two significant figures.

A decoration hangs at rest from a string. A second, horizontal string is knotted to the first, pulling it to the right, as shown below. The top section of the first string is at an angle of 25° to the vertical. The tension in the horizontal string is 0.8 N. Take the magnitude of the acceleration due to gravity to be 9 = 9.8 ms 2. 25° (a) State the three forces acting on the knot, and draw a force diagram to represent them, labelling the forces appropriately and indicating their directions by marking the sizes of relevant angles. (b) Find expressions for the component forms of the three forces, in terms of unknown magnitudes where appropriate, taking the Cartesian unit vectors i and j to point horizontally and vertically, respectively, in the directions shown above. (c) Find the mass of the decoration, to two significant figures.

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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