centre of mass of human
In order to determine the center of mass of a person, we used the formula for torque: Στ = rF The torques due to the weight on each end of the person were set equal to each other. The displayed weight on the scale was the force, and there are two different radii. The first radius is the distance to the center of mass from the person's feet, and the second radius is the length of the board minus the distance to the center of mass from the person's feet. The net torque of the system is zero and therefore the torques on the opposite sides of the boards must be equal: w 1 x = w 2 (l-x), where w 1 is equal to the weight at the person's feet, x is equal to the distance from the person's feet to his/her center of mass, w 2 is equal to the weight at the head, and l is equal to the length of the beams. The resulting formula, when solved for the distance to the center of mass from the person's feet (radius one) is: x = w 2 l/(w 1 ...