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.

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.

Infinity Learn · Accepted Answer

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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