we can determine YOUNG MODULUS by using the equation,
w2=Exy3/4ml3 Where,x-is the width of the ruler
y-is thethickness of the ruler
m-mass
E-young modulus of the ruler
l-length of the ruler
w-angular frequency
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One inaccuracy can be that the wire or material that you are using to find Young's Modulus has some impurities and there may be a slight variation in the cross sectional area so a shorter piece of that material should be used.
A cantilever is a beam supported at one end. A diving board is anchored at one end and hangs out over the pool. It's a cantilever. More can be learned by using the link and looking at some pictures while reading the Wikipedia article.
That sounds a little high. Young's modulus for 2024 is about 73,100 MPa
By using tensile test.
Triaxial testing will yield static strength properties of the material while ultrasonic measurements will give dynamic strength properties. The two can be related to each other by using various relationships between Young's Modulus, Bulk Modulus, Shear Modulus and Poisson's ratio. Static results should be lower than the dynamic results.