You take your dog Clea to the vet, and the doctor decides he must locate the lit

Question

You take your dog Clea to the vet, and the doctor decides he must locate the little beast’s center of gravity. It would be awkward to hang the pooch from the ceiling, so the vet must devise another method. He places Clea’s front feet on one scale and her hind feet on another. The front scale reads 119 N while the rear scale reads 62 N. The vet next measures Clea and finds that her rear feet are 0.74 m behind her front feet. Where is her center of gravity (in reference to her rear feet).

The answer is .49

Clearly show how you solve this problem.

Explanation / Answer

F1 = 119 N

F2 = 62 N

Let d be the position of the cener of gravity from rear feet.

Sum of moment of forces about center of gravity is ZERO.

                   F1 *  (d - 0.74) + F2 * d = 0

                119(d - 0.74) + 62 d = 0

                   119d - 88.06 + 62d = 0

                           181d  - 88.06   = 0

                                            d = 0.486 m = 0.49 m (approximately)

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