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You construct a mobile out of four objects, a sphere, a pyramid, an ellipsoid, a

ID: 1977203 • Letter: Y

Question

You construct a mobile out of four objects, a sphere, a pyramid, an ellipsoid, and a cube. The mobile is in equilibrium in the configuration shown above, where the vertical dashed lines are 20 cm apart. The mass of the strings (in blue) and rods (in red) can be neglected. If the pyramid has a mass of 720 g, what is the mass of each of the other objects? See if you can do this problem without a calculator.

(a) What is the mass of the ellipsoid?
____________g

(b) What is the mass of the cube?
____________g

(c) What is the mass of the sphere?
____________g

Explanation / Answer

mass of e+s = 720 now, 3e=s , so , mass of ellipsoid = 720/4 = 180 gms. mass of square = 3 x 180 = 540 gms. finally mass of circle =3/2 x (720+720) = 2160 gms.

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