What is the net torque on this object?

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SUMMARY

The net torque on the object is calculated using the equation torque = (radius)(force)(sin(θ)). The specific values used in the calculation are 0.95m with a 10N force, 0.22m with a 50N force, and 1.5m with a 3.0N force at an angle of 40 degrees. The positive and negative signs in the calculation reflect the direction of the torques, with clockwise torques considered negative and counter-clockwise torques positive, following the right-hand rule convention. Understanding this sign convention is crucial for accurately determining the net torque.

PREREQUISITES
  • Understanding of torque calculations in physics
  • Familiarity with the right-hand rule for determining torque direction
  • Basic knowledge of trigonometric functions, specifically sine
  • Ability to interpret free-body diagrams
NEXT STEPS
  • Study the right-hand rule in detail to understand torque directionality
  • Learn about free-body diagrams and their role in torque analysis
  • Explore advanced torque calculations involving multiple forces and angles
  • Investigate the effects of torque on rotational motion in rigid bodies
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Students studying physics, particularly those focusing on mechanics, as well as educators teaching torque concepts and problem-solving techniques in rotational dynamics.

BrooklynBees
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Homework Statement


Make the following into a web address; it wouldn't let me post one.
img161.imageshack.us/img161/3728/physicspv5.pngimg161.imageshack.us/img161/3728/physicspv5.b3825b8665.jpg[/url]
What is the net torque on this object?

Homework Equations


torque=(radius)(force)(sin(
\theta))

The Attempt at a Solution


I know that the answer is found by doing the following:
.95(10N)-.22m(50N)-1.5m(3.0N)(sin40)
but I don't understand why. Like, I get that it's plugging each section into the above equation, but I don't get why the values should be subtracted.

Thank you!
 
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The link for the image doesn't work for me. However, my guess is that some of the torques are negative because they oppose the other torque. If your question is why the first is positive and the last two negative instead of the first negative and the last two positive then the answer is because there is a sign convention, called the right hand rule, with the cross product. E.g. the reason that i x j = k instead of -k is purely a convention (where i is a unit vector in the x direction, j a unit vector in the y direction, and k a unit vector in the z direction).
 
take out the spaces:
h t t p : / / s138.photobucket.com/albums/q275/charliethedogg/?action=view&current=physics.png

Some of the torques are opposing each other. However, it doesn't fit with the location of the negative signs.
 
Are you familiar with the right hand rule? If into your computer screen is the negative direction and out is the positive direction then all of the signs are correct.
 
I'm positive that we weren't taught the right hand rule..
 
Hi BrooklynBees,

If you were not taught the right hand rule, then the usual convention is that clockwise torques are considered to be negative and counter-clockwise torques are positive. The equation in your post then indicates that the torque from the 10 N force is counterclockwise, and the torques from the other two forces are clockwise. Can you see how that matches the diagram?
 
Thanks. I get it now.
 

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