Two rods of identical dimensions, with Young’s modulus Y1 and Y2 are joined end to end. The equivalent Young’s modulus for the composite rod is
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Step 1
Step 1: The equivalent Young's modulus for the composite rod can be calculated using the formula for series combination of Young's moduli, which is given by: \[ \frac{1}{Y_{eq}} = \frac{1}{Y_1} + \frac{1}{Y_2} \] Show more…
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Two rods of identical dimensions, with Young's modulus $Y_{1}$ and $Y_{2}$ are joined end to end. The equivalent Young's modulus for the composite rod is (A) $\frac{2 Y_{1} Y_{2}}{Y_{1}+Y_{2}}$ (B) $\frac{Y_{1} Y_{2}}{Y_{1}+Y_{2}}$ (C) $\frac{1}{2\left(Y_{1}+Y_{2}\right)}$ (D) $Y_{1}+Y_{2}$
Two rods are identical in all respects except one: one rod is made from aluminum and the other from tungsten. The rods are joined end to end, in order to make a single rod that is twice as long as either the aluminum or tungsten rod. What is the effective value of Young's modulus for this composite rod? That is, what value $Y_{\text {Compasite }}$ of Young's modulus should be used in Equation $10.17$ when applied to the composite rod? Note that the change $\Delta L_{\text {Composite }}$ in the length of the composite rod is the sum of the changes in length of the aluminum and tungsten rods.
Two rods are identical in all respects except one: one rod is made from aluminum, and the other from tungsten. The rods are joined end to end, in order to make a single rod that is twice as long as either the aluminum or tungsten rod. What is the effective value of Young's modulus for this composite rod? That is, what value $Y_{\text {Composite }}$ of Young's modulus should be used in Equation 10.17 when applied to the composite rod? Note that the change $\Delta L_{\text {Composite }}$ in the length of the composite rod is the sum of the changes in length of the aluminum and tungsten rods.
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