A solid sphere of diameter x and mass 2m is fastened to a long thin rod of length 4x and mass m as shown. Where is the location of the center of mass of this system?

Engineering

Physics

Center of Mass

Summation of Vectors

Calculus

Question

A solid sphere of diameter x and mass 2m is fastened to a long thin rod of length 4x and mass m as shown. Where is the location of the center of mass of this system?

A

$\frac{4}{3} x$

B

x

C

$\frac{5}{3} x$

D

$\frac{3}{2} x$

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$\frac{2 m \times \frac{x}{2} + mx \times 3 x}{2 m + m} = \frac{4}{3} x$ .