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(Solved): Calculate the position of the reaction boards COM using torques. Express as meters from the axis. ...



Calculate the position of the reaction board’s COM using torques. Express as meters from the axis.

Calculate value for each torque in row 1, the full formula with all known values in row 2, and final for distance to COM in row 3.

Data collected:

Mass of reaction board = 28.3 kg

Length of reaction board = 2.43 m

Body mass = 84.4 kg

Body height = 1.8 m

Scale reading (board only) = 137 N

Scale reading (arms by sides) = 497 N

Scale reading (arms overhead) = 520 N

Weight of board = 277.34 N

Weight of person = 497 N



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Calculate the torques and distances for each component.
Given data: Mass of reaction board    Length of reaction board    Body mass    Body height    Scale reading (board only)    Scale reading (arms by sides)    Scale reading (arms overhead)    Weight of board       Weight of person   
Torque due to the weight of the board   :




Torque due to the weight of the person (Torque_2):




Torque due to the reaction force of the board only (Torque_3):


Torque due to the reaction force with arms by sides (Torque_4):


Torque due to the reaction force with arms overhead (Torque_5):



To calculate the torque, we need to find the distance from the axis to the center of mass of the board. Distance from the axis to the center of mass   
Now, we can calculate the torque:   


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