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In the figure, two blocks hang at rest from a spring and rope attached to the ceiling. On the left, the spring (with force constant k) that is fastened to the ceiling makes an angle A relative to the horizontal, while the on the right the rope makes an angle of B relative to the vertical. The rope between the two knots is perfectly horizontal. Mass m, is unknown while mass m2 is known. Solve all parts symbolically in terms of the known mass, m2, the angles A and B, the spring constant k, plus other known constants. (a) Draw all force diagrams. (b) Find all forces and tensions. (c) Find the unknown mass m1.

In the figure, two blocks hang at rest from a spring and rope attached to the ceiling. On the left, the spring (with force constant k) that is fastened to the ceiling makes an angle A relative to the horizontal, while the on the right the rope makes an angle of B relative to the vertical. The rope between the two knots is perfectly horizontal. Mass m, is unknown while mass m2 is known. Solve all parts symbolically in terms of the known mass, m2, the angles A and B, the spring constant k, plus other known constants. (a) Draw all force diagrams. (b) Find all forces and tensions. (c) Find the unknown mass m1.

Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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Based on your equations for the above problem, solve for the extension of the spring (in meters) when the variables have values as follows:

  • angle A is 74.79 degrees
  • angle B is 44.36 degrees
  • spring constant k is 123.77 N/m
  • mass m2 is 2.52 kg
In the figure, two blocks hang at rest from a spring and rope attached to the ceiling. On the left, the spring (with force constant k) that is fastened to the ceiling makes an angle A relative to the horizontal, while the on the right the rope makes an angle of B relative to the vertical. The rope between the two knots is perfectly horizontal. Mass m, is unknown while mass m2 is known. Solve all parts symbolically in terms of the known mass, m2, the angles A and B, the spring constant k, plus other known constants. (a) Draw all force diagrams. (b) Find all forces and tensions. (c) Find the unknown mass m1. (d) Find the extension of the spring. m, m2
Transcribed Image Text:In the figure, two blocks hang at rest from a spring and rope attached to the ceiling. On the left, the spring (with force constant k) that is fastened to the ceiling makes an angle A relative to the horizontal, while the on the right the rope makes an angle of B relative to the vertical. The rope between the two knots is perfectly horizontal. Mass m, is unknown while mass m2 is known. Solve all parts symbolically in terms of the known mass, m2, the angles A and B, the spring constant k, plus other known constants. (a) Draw all force diagrams. (b) Find all forces and tensions. (c) Find the unknown mass m1. (d) Find the extension of the spring. m, m2
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