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xkcda

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- Homework Statement
- A rectangular plate of mass 10 kg is at rest.It has a length of 4 meter and width of 3 meter.What is the minimum velocity required to make it rotating freely?

- Relevant Equations
- ##I= \frac {M(l^2+b^2)} {12}##

##E=mgh##

##E=\frac {MV^2} {2}##

I tried to solve it using the work-energy theorem.The work done to make it stand on its one vertex should be equal to the change in its kinetic energy.

I am confused what will be the value of radius here? I have seen formula of kinetic energy for rolling of circular objects.Can anyone please derive a formula for kinetic energy of a rolling rectangular plate?

I am confused what will be the value of radius here? I have seen formula of kinetic energy for rolling of circular objects.Can anyone please derive a formula for kinetic energy of a rolling rectangular plate?