For full points I would like to see the work and a correct answer. Thank you. Fi

Question

For full points I would like to see the work and a correct answer.

Thank you.

Find the center of gravity if a man is lying on a board across 2 scales.

The first scale is by his feet and reads 400N  The second by his head and reads 445N.

The distance between the two scales is 180 cm.  

Express the answer as a distance measured from his heels.

Assume his heels and head are in contact with the board directly above the scale.  

Find the location of the center of gravity of the man lying on the board in the diagram below, showing carefully how you arrived at your answer and expressing your answer as a distance measured from the point where his heels are in contact with the board. His heels are in contact with the board directly above the right hand scale, and his head is in contact with the board directly above the left hand scale. Both scales are set to zero before he gets on the board, and it is known that the center of gravity of the board lies halfway between the two scales. The distance between the two scales is 180cm.

Explanation / Answer

By balancing the torque we could find out where the centre of gravity is lying on the scale ,

let the centre of gravity be at a distance x from the feet

Torque is balanced about the point of centre of gravity,

     

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