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a3sportback54
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Homework Statement
I'm having a bit of difficulty with this question on SHM:
"An automobile wheel and tyre are suspended in the horizontal plane by a vertical steel rod 5mm in diameter and 2m long, which is bolted to the wheel axis. The wheel is given a small angular deflection, and makes 10 oscillations in 30.2s. Calculate the polar moment of intertia of the wheel and rod. Assume G = 80 GNm-2.
Homework Equations
I've got the following equations but I don't think I've got the right variables to be able to use them. Is there something I'm missing?
[tex]\theta=[/tex][tex]\frac{TL}{JG}[/tex]
Where [tex]\theta[/tex] = torsional deformation, T = torque, L = length, J = polar moment of inertia, G = shear modulus
Also
k = [tex]\frac{T}{\theta}[/tex]
I'm not sure where the number of oscillations comes into it, although I know period = 0.302s
Any help much appreciated, thanks