Torques and Rotational Equilibrium

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Homework Help Overview

The problem involves calculating the net torque due to multiple weights acting on a meter stick, with specific masses and positions provided. The context is within the subject area of rotational dynamics and torque.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • The original poster expresses uncertainty about how to start the problem. Some participants suggest using the concept of torque and the relationship between force and distance from the pivot point. Others discuss the importance of determining the sign of the torque based on the position of the weights relative to the pivot.

Discussion Status

Participants are exploring different aspects of the problem, including the calculation of torque and the application of the right-hand rule for determining direction. Some guidance has been offered regarding the calculation of moments and the significance of the pivot point, but no consensus has been reached.

Contextual Notes

There is a mention of confusion regarding the visual representation of the setup, which may affect understanding. The discussion also highlights the need to consider the distances of the weights from the pivot point when calculating torque.

peaceandlove
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Homework Statement


The mass m1 is 0.55 kg and it is located at x1 = 30 cm. The pivot point is represented by the solid triangle located at x = 45 cm. The mass of the meter stick (mms = 0.40 kg) is located at its geometric center, xms = 50 cm. The mass m2 is 0.35 kg and it is located at x2 = 80 cm. Calculate the net torque (in N⋅m with the proper sign) due to these three weights. Use g = 9.8 m/s2.


Homework Equations


T=r*Fsin(theta)


The Attempt at a Solution


Where do I even begin?
 
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This might be helpful:
http://en.wikipedia.org/wiki/Torque

That might help you generally determine the sign of your torque.

For the rest of it depending on which side the weights are located from the point of interest, then you just add the moments together (or subtract as appropriate). For the center of mass of the ruler, just use its distance to the pivot as your moment arm.
 
I'm still really confused.
 
You have a see saw don't you? It's not like I can see your picture.

Torque is force acting over the distance of the moment arm.

So you have weights. m1 for instance is .55 kg*9.8 and it's (.45m -.3m) away from the pivot. That means the torque of m1 is .55*(.15)*9.8 The sign will be from r X F, the vector cross product, which since r is to the left and F is down looks to me by the right hand rule to be up and out of the page. Counter clockwise being + here.

Figure the moments for the remaining weights and add them up.
 
Oh, I see. Thanks
 

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