Torque problem involving bicep holding ball

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The discussion revolves around a torque problem involving the human arm holding a 5.0 kg iron ball, with specific distances related to the biceps and triceps muscles. The participant attempts to calculate the force exerted by the biceps using the sigma torque equation but feels their equation is incomplete and struggles with unit consistency. They identify the forces acting on the arm, including the biceps, the weight of the ball, and the weight of the arm itself. There is a request for advice on solving torque problems and a question about the definition of torque. Clarifying the torque equation and ensuring consistent units are essential for solving the problem correctly.
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Homework Statement


A schematic diagram of the human arm is shown holding a
heavy iron ball (mass 5.0 kg). The triceps muscle connects to the
forearm 3.0 cm to the left of the elbow joint, while the biceps
muscle connects 5.0 cm to the right. Each of the muscles can
exert an upward force on the forearm when needed. The
forearm and hand together itself have a mass of 4.0 kg and a
center of mass 15 cm to the right of the elbow joint. The distance from the triceps
to the center of the ball is 35 cm

a. When the ball is being held as shown, the force exerted by
the triceps is approximately zero. What force must the
biceps be exerting?

Homework Equations


For this problem I attempted to use sigma torque equation to find how much force is needed for the bicep to hold the ball up.

The Attempt at a Solution


I found the forces drawing a free body diagram to be
force of bicep, force of ball, force of arm, and force of triceps.

so force of biceps = (5.0 x 9.8N) - (15 cm x 9.8N) - (3.0 x 9.8)
I feel like I am still missing a big chunk in my equation, but I seem to be having trouble with these torque problems any advice on how to solve them? =X
 
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The quantities in the equation appear to have inconsistent units.

How is torque defined?
 
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