How Is the Angle Determined for the Opposite String in a Suspended Rod Scenario?

In summary, a uniform rod of 80 Newtons is suspended from the ceiling by strings attached to its ends. The rod is in equilibrium at an angle of 10 degrees to the horizontal, and the string attached to the higher end is at an angle of 40 degrees to the vertical. Using the geometric method, we can find the angle that the other string makes with the vertical. The sum of the forces in both the horizontal and vertical directions is zero, so we can use this fact to solve for the angle. A diagram of this working can be found at the provided URL.
  • #1
physicshawk
11
0
A uniform rod of 80 Newtons is suspended from the ceiling by strings attached to its ends. The rod is in equilibrium at an angle of 10 degrees to the horizontal, and the string attached to the higher end is at an angle of 40 degrees tohe vertical. Find the angle which the other string makes with the vertical. (and please use the geometric method as this is the chapter i am learning now.) Thanks.
I have shown through diagram my working in the URL below. I just can't get the angle. Could you please get the angle for me.

http://farm6.staticflickr.com/5498/9993960885_c8d9523a07_b.jpg
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  • #2
9993960885_c8d9523a07_b.jpg

Just encase the link in -tags next time.
 
  • #3
Use the fact that the rod is in equilibrium. The sum of forces is zero both in horizontal and vertical directions.
 

FAQ: How Is the Angle Determined for the Opposite String in a Suspended Rod Scenario?

What is the geometric method for calculating forces?

The geometric method for calculating forces involves using geometric shapes and principles to determine the magnitude and direction of forces acting on an object. It is commonly used in physics and engineering to solve problems involving forces.

How is the geometric method different from other methods of calculating forces?

The geometric method differs from other methods, such as vector addition or trigonometric calculations, in that it relies on visual representations and geometric principles rather than mathematical equations. It is often more intuitive and easier to visualize, making it useful for introductory physics or engineering courses.

What are some common geometric shapes used in the geometric method?

Some common geometric shapes used in the geometric method include triangles, rectangles, and circles. These shapes are used to represent forces and their components in a visual and organized manner.

Can the geometric method be used to calculate forces in three dimensions?

Yes, the geometric method can be extended to three dimensions by using three-dimensional shapes, such as cubes or spheres, and applying principles of three-dimensional geometry. This can be useful for solving more complex problems involving forces in three dimensions.

In what fields or industries is the geometric method commonly used?

The geometric method is commonly used in fields such as physics, engineering, and architecture. It is also used in industries such as construction, where understanding and calculating forces on structures is crucial for safety and stability.

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