Problem 10.42 You take your dog Clea to the vet, and the doctor decides he must

Question

Problem 10.42

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 157 N while the rear scale reads 89.0 N . The vet next measures Clea and finds that her hind feet are 0.950 m behind her front feet.

Part A

How much does Clea weigh?

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Part B

Where is her center of gravity?

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Explanation / Answer

A)

let,

normal force N1=89 N

and

normal force N2=157 N

by balencing force equation ,

weight W=N1+N2

W=89+157 N

W=246 N

B)

let

l=0.95 m is the distnace between axis of rotation and N2

x is the center of gravity,

net torque due to N1, N2 and W is,

N2*l-w*x=0

157*0.95-246*x=0

===> x=0.61 m

there fore center of gravity x=0.61 m

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