Calculate the z component of the torque relative to position

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Homework Help Overview

The problem involves calculating the z component of torque relative to a specific position, given several forces acting on a system. The forces have a defined magnitude, and the problem specifies distances related to the setup.

Discussion Character

  • Exploratory, Assumption checking, Problem interpretation

Approaches and Questions Raised

  • Participants discuss the formula for torque, with some attempting to apply the cross product and questioning the relevance of the z component. There is uncertainty about how to incorporate the dimensions provided in the problem.

Discussion Status

Some participants have offered insights into the calculation of torque using the cross product and the importance of considering the z component. There is ongoing exploration of how to correctly apply the forces and distances to find the torque for each force, with no clear consensus on the correct approach yet.

Contextual Notes

Participants note that the problem asks for the torque for each individual force before considering the net torque, leading to confusion about the calculations required. There is mention of the right-hand rule and the sign convention for torque direction, which may influence the interpretation of results.

magma_saber
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Homework Statement


http://img3.imageshack.us/img3/5681/32832.jpg

All seven forces have a magnitude |F| = 32 N. w = 10 m, h = 16 m, and d = 15 m. Calculate the z component of the torque relative to position A.

Homework Equations


T = r*F


The Attempt at a Solution


Not sure how to start this.
F1 = F*h*w = 32*16*10?
F2 = F*h = 32*16?
 
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T = r X F

So you want to figure the force acting at a perpendicular to the point at interest.

In this case your r X F1 will equal |F1|*h, where h is the distance at which it is acting ⊥ to a line through A.
 


LowlyPion said:
T = r X F

So you want to figure the force acting at a perpendicular to the point at interest.

In this case your r X F1 will equal |F1|*h, where h is the distance at which it is acting ⊥ to a line through A.

i tried that, its wrong. it says the z component. would that make a difference?
 


magma_saber said:
i tried that, its wrong. it says the z component. would that make a difference?

The resultant of r X F is a z component by the right hand rule for taking a cross product.

Of course you still need to sum up all the other torques from the other forces.
 


it asks just for the torque for each force that is applied, i.e. F1, F2, F3, ect. After that, it asks for the net torque. for F1 i tried F*h and it was wrong. Would it be F*h*w, since the tail starts at w?
 


magma_saber said:
it asks just for the torque for each force that is applied, i.e. F1, F2, F3, ect. After that, it asks for the net torque. for F1 i tried F*h and it was wrong. Would it be F*h*w, since the tail starts at w?

Sorry I thought you were supposed to be determining the sum.

The |T| is F1*h. But because it is the cross product of y X x, that yields a clockwise torque that is -z

So for F1 you have the z component is -|F1*h|z

Counterclockwise torques are positive. Clockwise are negative.
http://en.wikipedia.org/wiki/Right-hand_rule
 

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