- #1

CIA16

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- Homework Statement
- I've tried solving the question and was stuck after creating an equation. I think my approach was wrong.

- Relevant Equations
- This is the equation I got when I resolved the forces and introduced the inequality symbol.

Here is my interpretation of the question. Three forces are applied to a bracket such that a 500N force acts at 30 degrees to the horizontal on the negative x-axis, while a 150N force acts at θ to the negative x-axis and another 150N force acts at 50+θ to the negative x-axis. The directions of the two 150N forces may vary, but the angle between the forces is always 50. Determine the range of theta values for which the magnitude of the resultant force acting at the bracket is less than 600N.

I already resolved the forces and introduced the inequality:

$$\sqrt{(-500 \cos(30) - 150 \cos(x) - 150 \cos(50 + x))^2 + (500 \sin(30) - 150 \sin(x) - 150 \sin(50 + x))^2}<600$$

I already resolved the forces and introduced the inequality:

$$\sqrt{(-500 \cos(30) - 150 \cos(x) - 150 \cos(50 + x))^2 + (500 \sin(30) - 150 \sin(x) - 150 \sin(50 + x))^2}<600$$

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