A wire having cross-sectional area S is attached to wall on one side and a block of mass M on the other side which placed on a horizontal surface having coefficient of friction μ as shown. Material of wire has coefficient of thermal expansion a and Young's modulus Y. At initial temperature there is no stress in the wire. Now the wire is cooled. At what decrease in temperature the block will begin to move.
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On decreasing, the temperature by (Δθ) , the tension developed will be
T = YSα(Δθ)
when about to slip, T = fmax
YSα(Δθ) = mMg
.
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