Flag Thermal Physics> As a result of a temperature rise of 32 C...
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As a result of a temperature rise of 32 Cº , a bar with a crack at its center buckles upward, as shown in Fig. 21-10. If the fixed distance L0 = 3.77 m and the coefficient linear expansion is 25 × 10-6/Cº, find x, the distance to which the center rises.
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

Radhika Batra , 9 Years ago
Grade 11
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