Question

The thigh has a mass of 4kg and a location of (20,18). The shank has a mass of 2.5kg and a location of (24,15). The foot has a mass of 0.8 kg and a location of (30,10).

What is the Center of Mass for the leg?

Question 9 options:

	A) (23.5, 15.4)
	B) (25, 14)
	C) (24,15)
	D) (22.5, 16.1)

Answer 1

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Check the answer and let me know whether it's correct.....

Answer 2

SOLUTION :

Let centre of mass for the leg be at point (x, y)

Total mass  = 4 + 2.5 + 0.8 = 7.3 kg

So,

 

7.3 * x = 4*20 + 2.5*24 + 0.8* 30 = 164

=> x = 164/7.3 = 22.47 

7.3 * y = 4*18 + 2.5*15 + 0.8*10 = 117.5

=> y = 117.5/7.3 = 16.10 

Hence,

Center of mass for the leg is at point (22.47, 16.10) : Option D (ANSWER).