University Physics with Modern Physics with Mastering Physics (11th Edition)

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11.92: a) Taking torques about the pivot, the tension T in the cable is related to the weight by . sin 2 so , 2 sin 0 0 θ mg T mgl l θ T = = The horizontal component of the force that the cable exerts on the rod, and hence the horizontal component of the force that the pivot exerts on the rod, is θ mg cot 2 and the stress is . cot 2 θ A mg b) . 2 cot 0 0 AY θ mgl AY F l l = = c) In terms of the density and length, , ) ( 0 l ρ A m = so the stress is
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Unformatted text preview: θ g ρl cot ) 2 ( and the change in length is . cot ) 2 ( 2 θ Υ g ρl d) Using the numerical values, the stress is 5 10 4 . 1 × Pa and the change in length is m. 10 2 . 2 6-× e) The stress is proportional to the length and the change in length is proportional to the square of the length, and so the quantities change by factors of 2 and 4....
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  • Force, 6 m, 10 5 Pa, mg mg cot

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