What is the magnitude of the torque about his shoulder

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SUMMARY

The discussion focuses on calculating the torque exerted about an athlete's shoulder while holding a 4.0 kg steel ball with a 70 cm arm. When the arm is extended parallel to the floor, the torque can be calculated using the formula τ = r × F, where r is the length of the arm and F is the force due to gravity acting on the ball. Additionally, when the arm is held at a 50-degree angle below horizontal, the torque changes due to the angle of force application, requiring the use of trigonometric functions to resolve the effective lever arm.

PREREQUISITES
  • Understanding of basic physics concepts, specifically torque
  • Familiarity with the formula τ = r × F
  • Knowledge of trigonometry for angle calculations
  • Basic understanding of gravitational force (F = m × g)
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  • Calculate torque for various angles using the formula τ = r × F × sin(θ)
  • Explore the effects of arm length on torque magnitude
  • Investigate real-world applications of torque in sports and biomechanics
  • Learn about the relationship between torque and rotational equilibrium
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Students studying physics, athletes interested in biomechanics, and fitness professionals seeking to understand the mechanics of lifting and arm positioning.

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An athlete at the gym holds a 4.0 steel ball in his hand. His arm is 70 long and has a mass of 4.0
What is the magnitude of the torque about his shoulder if he holds his arm straight out to his side, parallel to the floor?
What is the magnitude of the torque about his shoulder if he holds his arm straight, but 50 below horizontal?

I'm lost
 
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leisiminger said:
An athlete at the gym holds a 4.0 steel ball in his hand. His arm is 70 long and has a mass of 4.0
What is the magnitude of the torque about his shoulder if he holds his arm straight out to his side, parallel to the floor?
What is the magnitude of the torque about his shoulder if he holds his arm straight, but 50 below horizontal?

I'm lost

What is the definition of Torque?

That would be a good start.
 

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