First slide
Elastic Modulie
Question

A rod of length land negligible mass is suspended at its two ends by two wires of steel (wire A) and aluminium (wire B) of equal lengths Fig. The cross-sectional areas of wires A and Bare 1.0 mm2 and 2.0 mm2, respectively.
(YAl= 70 x 109 Nm-2 and Ysteel=200 X 109 Nm-2)
 

(i) Mass m should· be suspended close to wire A to have equal stresses in both the wires.
(ii) Mass m should be suspended close to wire B to have equal stresses in both the wires.
(iii) Mass m should be suspended at the middle of the wires to have equal stresses in both the wires.
(iv) Mass m should be suspended close to wire A to have equal strains in both the wires.

Moderate
Solution

IF the stress in both the wires are equal then for rotational equilibrium mass m should be close to wire B.

IF the strains in both the wires are equal then for translational equilibrium mass m should be nearer to wire A.

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