Calculating Torque of Athlete's Arm at the Gym

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Homework Help Overview

The problem involves calculating the torque exerted by an athlete's arm while holding a steel ball at different angles. It includes considerations of the arm's length and mass, as well as the mass of the ball, in the context of physics principles related to torque.

Discussion Character

  • Exploratory, Assumption checking, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss the relationship between the distance from the shoulder to the center of mass of the arm and the ball, questioning how this affects torque calculations. There are attempts to clarify the role of vertical and horizontal components of force in the context of torque.

Discussion Status

Some participants have made progress in calculating torque for the first scenario, while others express confusion regarding the second scenario and the use of trigonometric functions. There is a mix of attempts and questions, with no clear consensus on the correct approach for the second part of the problem.

Contextual Notes

Participants are working under the constraints of a homework assignment, which may limit the information they can use or the methods they can apply. There is an ongoing exploration of assumptions regarding angles and distances in torque calculations.

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Homework Statement


An athlete at the gym holds a 2.2 kg steel ball in his hand. His arm is 74 cm long and has a mass of 4.0 kg. What is the magnitude of the torque about his shoulder if he holds his arm in each of the following ways?
1) Parallel out to his side
2) Straight but 35 M below the horizontal


Homework Equations


t=rf


The Attempt at a Solution


I don't even know how to start this one :(
 
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Jaklynn429 said:

Homework Statement


An athlete at the gym holds a 2.2 kg steel ball in his hand. His arm is 74 cm long and has a mass of 4.0 kg. What is the magnitude of the torque about his shoulder if he holds his arm in each of the following ways?
1) Parallel out to his side
2) Straight but 35 M below the horizontal

Homework Equations


t=rf

The Attempt at a Solution


I don't even know how to start this one :(

How does the distance of the ball and center of mass of the arm from his shoulder change horizontally? Isn't torque about a point the distance away through which the force acts? Hence the vertical force of gravity acts through the ball and center of mass straight down, so how far away along the horizontal in each of the 2 situations?
 
I got the first part by using
(4*.37) + (2.2*.74) = 3.108*9.8=30.46

Now I am having trouble with the second part, wouldn't I just use that answer times sin(35)? I get 17.468 and its telling me I am wrong.
 
Jaklynn429 said:
I got the first part by using
(4*.37) + (2.2*.74) = 3.108*9.8=30.46

Now I am having trouble with the second part, wouldn't I just use that answer times sin(35)? I get 17.468 and its telling me I am wrong.

Isn't Cos the horizontal distance?
 
I got the answer! thank you so much!
 

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