Two cylinders made of same material A and B of radii r and 2r are soldered coaxially. The free end of A is clamped and the free end of B is twisted by an angle ϕ .The twist ϕ' at the junction for equal length is:
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a
1617ϕ
b
1716ϕ
c
1417ϕ
d
ϕ16
answer is A.
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Detailed Solution
Angle of twist ϕ∝ 1r4∵couple =πr4ηϕ2lϕ'-0ϕ-ϕ'=r2r14=2rr4=16ϕ'=16ϕ17