What are the coordinates of the center of mass for the combination of the three
ID: 1325273 • Letter: W
Question
What are the coordinates of the center of mass for the combination of the three objects? The uniform rod has a mass of10.0 kg, has a length of 30.0 cm, and is located at x = 50.0 cm. The oval football has a mass of 2.00 kg, a semimajor axis of 15.0 cm,a semiminor axis of 8.00 cm, and is centered at x = 250.0 cm.The spherical volleyball has a mass of 1.00 kg, a radius of 10.0 cm, and is centered at y = 230 cm.
Edit: The answer is (30.8,10.8), but Idk how to solve the problem.
What are the coordinates of the center of mass for the combination of the three objects? The uniform rod has a mass of10.0 kg, has a length of 30.0 cm, and is located at x = 50.0 cm. The oval football has a mass of 2.00 kg, a semimajor axis of 15.0 cm,a semiminor axis of 8.00 cm, and is centered at x = 250.0 cm.The spherical volleyball has a mass of 1.00 kg, a radius of 10.0 cm, and is centered at y = 230 cm. Edit: The answer is (30.8,10.8), but Idk how to solve the problem.Explanation / Answer
centre of rod (x,y) = (50 , 0 )
centre of football (x,y) = (250, 0 )
centre of vollyball (x,y) = (0 , 230 )
Xcm = m1x1 + m2x2 + m3x3 / (m1 + m2 + m3 )
= 10*50 + 2*250 + 1 * 0 / (10 + 2 +1) = 76.92 cm
Ycm = m1y1 + m2y2 + m3y3 / (m1 + m2 +m3)
= 10* 0 + 2*0 + 1*230 / (10 + 2 +1) = 17.69 cm
Centre of mass (x.y) = (76.92, 17.69) cm
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