Why is radius important in tension calculations but not in force components?

  • Thread starter Godawgs94
  • Start date
In summary, we have a 1130 N uniform boom that is supported by a cable perpendicular to the boom and hinged at the bottom. A weight of 1870 N hangs from the top of the boom at an angle of 69.5 degrees. To find the tension in the supporting cable, we need to calculate the x and y components of the reaction force exerted on the boom by the hinge. The radius does not play a role in calculating the components of force, but is taken into account when calculating tension. Unfortunately, the provided links do not work, so it is difficult to visualize the scenario.
  • #1
Godawgs94
3
0
A 1130 N uniform boom is supported by a cable perpendicular to the boom, as seen in the figure below.
The boom is hinged at the bottom, and an m = 1870 N weight hangs from its top. Assume the angles to be
mimetex.gif
= 69.5o and
mimetex.gif
= 90.0o -
mimetex.gif
. Find the tension in the supporting cable
Find the x-components of the reaction force exerted on the boom by the hinge (choose to the right as positive).
Find the y-components of the reaction force exerted on the boom by the hinge (choose upwards as positive).

I don't understand why radius is taken into account when calculating tension, but doesn't play a role in calculating the components of force.
 
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  • #2
It would help to see the picture.
 
  • #3
https://spock.physast.uga.edu/res/brookscole/serway/College_Physics_7ed/Chap08/graphics/serw0822.gifhttps://spock.physast.uga.edu/res/brookscole/serway/College_Physics_7ed/Chap08/graphics/serw0822.gif
sorry, here it is
 
Last edited:
  • #4
axmls said:
It would help to see the picture.

picture is here

https://spock.physast.uga.edu/res/brookscole/serway/College_Physics_7ed/Chap08/graphics/serw0822.gif
 
  • #5
Godawgs94 said:
picture is here

https://spock.physast.uga.edu/res/brookscole/serway/College_Physics_7ed/Chap08/graphics/serw0822.gif

Sorry, this link asks for your login information.

Please try to re-post your images.
 

FAQ: Why is radius important in tension calculations but not in force components?

1. What is torque and how is it different from force?

Torque is a measure of the rotational force on an object. It is different from force, which is a measure of the push or pull on an object in a straight line.

2. What factors affect torque?

The factors that affect torque include the magnitude of the force, the distance from the pivot point, and the angle between the force and the lever arm.

3. How is torque calculated?

Torque is calculated by multiplying the force applied by the distance from the pivot point to the point where the force is applied, and then multiplying by the sine of the angle between the force and the lever arm.

4. How does torque affect rotational motion?

Torque affects rotational motion by causing an object to rotate around an axis. The greater the torque, the faster the rotation will be.

5. How is torque related to stability?

Torque is related to stability because it determines the ability of an object to maintain its position or resist tipping over. The greater the torque, the more stable the object will be.

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