Physics Homework Help?

Question

Three masses, 1.0 kg, 2.0 kg, and 3.0 kg, are located at (0.0 m, 0.0 m), (1.0 m, 1.0 m), and (2.0 m, -2.0 m), respectively. What is the location of the center of mass (or center of gravity) of this system?

 

	(1.3 m, 0.67 m)
	(-1.3 m, -0.67 m)
	(1.3 m, -0.67 m)
	(-1.3 m, 0.67 m)

 

Answer 1

Point masses of the system are .

Point masses are situated at the points and .

Therefore, .

. 

Find the center of mass by using the formula:

and .

Substitute corresponding values in the formula. 

               

Center of mass is .

Option 3 is correct.