Torque/rotational motion question

[sagebum]

Homework Statement

A person standing on tiptoe, the position of the foot is as shown. *The total gravitational force on the body Fg is supported by the force n exerted by the floor on the toes of one foot. A mechanical model for the situation is shown in Figure P10.70b (http://www.piercecollege.edu/faculty/meyermd/Physics%2066/P66%20Homework/Chapter%2010%20HW%20PDF.pdf Problem 70) where T is the force exerted by the Achilles tendon on the foot and R is the force exerted by the tibia on the foot. Find the values of T,R, and θ when Fg = 700N

Homework Equations

torque(tau) = r x F (that's r cross F)

The Attempt at a Solution

I assumed that the Fg and the normal force cancel out from the 2nd line in the problem statement. I also tried moving the Fg to different positions, but the answers don't seem correct. Using hte \sumof torques, whereas the axis of rotation is at the toes(normal force), i got torque = 0 = -.18 * R * sin(θ) + .25 * T, I don't think that's R sin(θ) because R is not the hypotenuse. I also tried assuming that θis 15 degrees, and that R was perpendicular to the Foot. Other than the sum of torques, I don't know what other formulas to use, or what kind of approach to take for this problem.
Another method I used was to move the axis of rotation around, and use 4 equations for 4 unknowns, but that proved to be an incorrect method (the results didnt seem correct). I also think that the Fg = 700 N is supposed to come into the equation somewhere, and not cancel out with the normal force, but I have no idea what to do with that if it's not canceled. Can anyone help me with an approach I can take to solve this problem? Thanks

 

[learningphysics]

torque = 0 = -.18 * R * sin(θ) + .25 * T

the sin(theta) shouldn't be there. torque is the force times the perpendicular distance from the pivot to the line of the force... you had the T part right. so it should be:

torque = 0 = -.18 * R + .25 * T

that's one equation.

you get 2 more equations by setting sum of forces in x-direction = 0 and sum of forces in y-direction = 0.

 

[sagebum]

thx

Thanks for the help, can't believe i forgot the basics of sum of the forces lol