An ‘SS’ tube is inserted into an ‘Al’ tube. They are permanently fixed at one end. The other end is attached to a rigid plate. A torque ‘T’ is applied to the rigid plate. The circumference of the ‘AI’ tube at dia ‘D’ at the plate end with respect to the fixed end rotates by a distance ………….. mm due to torque ‘T’. The polar MOI and Rigidity modulus of AI and SS are JAI, GAI and JSS ,GSS respectively.

Question

An ‘SS’ tube is inserted into an ‘Al’ tube. They are permanently fixed at one end. The other end is attached to a rigid plate. A torque ‘T’ is applied to the rigid plate. The circumference of the ‘AI’ tube at dia ‘D’ at the plate end with respect to the fixed end rotates by a distance ………….. mm due to torque ‘T’. The polar MOI and Rigidity modulus of AI and SS are JAI, GAI and JSS ,GSS respectively.

TuteeHUB · Accepted Answer

$\frac{{2DLT}}{{{G_{SS}}{J_{SS}}}}$

TuteeHUB · Answer

$\frac{{DLT}}{{2\left( {{G_{AI}}{J_{AI}} - {G_{SS}}{J_{SS}}} \right)}}$

TuteeHUB · Answer

$\frac{{DLT}}{{2{G_{AI}}{J_{AI}}}}$

TuteeHUB · Answer

$\frac{{DLT}}{{2\left( {{G_{AI}}{J_{AI}} + {G_{SS}}{J_{SS}}} \right)}}$

1.	An ‘SS’ tube is inserted into an ‘Al’ tube. They are permanently fixed at one end. The other end is attached to a rigid plate. A torque ‘T’ is applied to the rigid plate. The circumference of the ‘AI’ tube at dia ‘D’ at the plate end with respect to the fixed end rotates by a distance ………….. mm due to torque ‘T’. The polar MOI and Rigidity modulus of AI and SS are JAI, GAI and JSS ,GSS respectively.
A.	\(\frac{{DLT}}{{2\left( {{G_{AI}}{J_{AI}} - {G_{SS}}{J_{SS}}} \right)}}\)
B.	\(\frac{{DLT}}{{2{G_{AI}}{J_{AI}}}}\)
C.	\(\frac{{DLT}}{{2\left( {{G_{AI}}{J_{AI}} + {G_{SS}}{J_{SS}}} \right)}}\)
D.	\(\frac{{2DLT}}{{{G_{SS}}{J_{SS}}}}\)
Answer» D. \(\frac{{2DLT}}{{{G_{SS}}{J_{SS}}}}\)

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