$1$ point

Find the mass radius necessary to statically balance the system by placing the center of mass on the axis of rotation for the following $3$ masses in $3$ dimensions. You are to

balance the moments about plane $A$ by adding a mass to plane $B$ and then find the mass$-$radius that puts the center of mass on the axis of rotation. The first $mr$ is $561g*cm$ at an

angle of $232$ and distance of $-6\mathrm{.}2cm$ from plane A$.$ The second $mr$ is $999g*cm$ at an angle of $42$ and distance of $-2\mathrm{.}5cm$ from plane A$.$ The third $mr$ is $213g*cm$ at an angle of

$173$ and distance of $3\mathrm{.}2cm$ from plane $A.$ The moments are to be balanced by putting mass on plane $B$ which is $6cm$ from plane $A.($Enter your answer to the nearest whole

number of $g*cm.)$

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