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January 25, 2015

January 25, 2015

Posted by **Rhi** on Saturday, June 2, 2012 at 9:45am.

- Physics -
**Elena**, Saturday, June 2, 2012 at 11:20amAssume that I1=2MR²/3 and ω1 are the momemt of inertia and

angular velocity of the sphere of radius R;

I and ω2 are the momemt of inertia and

angular velocity of the disc of radius r;

m and v are the mass and linear velocity of the load,

and ω1•R= ω2•r = v.

From the energy conservation law

m•g•h = m•v²/2 + I1•ω1²/2 + I2•ω2²/2 = m•v²/2 +{(1/2)•(2MR²/3) •(v/R)² } + 1/2•I•(v/r)² =

= m•v²/2 +Mv²/3 +I•v² / 2• r².

v =sqrt[m•g•h/(m/2 +M/3 + I/2r²)] = 5.18 m/s.

(check my calculations)

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