Materials

Question 14

Two structural cylindrical rods, $A\,$ and $B$ , are designed to support a suspended platform.

Rod $A\,$ has a diameter $d$ , length $L$ , and mass $m$ . It is manufactured from an alloy of density $\rho\,$ and Young modulus $E$ .

Rod $B\,$ is designed to have the same mass $m\,$ and length $L\,$ as Rod $A$ , but has a diameter of $4 d$ . Under the same tensile load, both rods undergo the exact same elastic extension.

Determine, in terms of $\rho\,$ and $E$ :

The density of the alloy from which Rod $B\,$ is made.
The Young modulus of the alloy from which Rod $B\,$ is made.

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Two structural cylindrical rods, $A\,$ and $B$ , are designed to support a suspended platform.

Rod $A\,$ has a diameter $d$ , length $L$ , and mass $m$ . It is manufactured from an alloy of density $\rho\,$ and Young modulus $E$ .

Rod $B\,$ is designed to have the same mass $m\,$ and length $L\,$ as Rod $A$ , but has a diameter of $4 d$ . Under the same tensile load, both rods undergo the exact same elastic extension.

Determine, in terms of $\rho\,$ and $E$ :

The density of the alloy from which Rod $B\,$ is made.
The Young modulus of the alloy from which Rod $B\,$ is made.

Materials

Question 14

Markscheme

Materials

Question 14

Markscheme

Materials

Question 14

Materials Questions

Materials

Question 14

Materials Questions