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Table Cloth Weights

By admin, on July 19th, 2007

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Table Cloth Weights

Table Cloth Weights

Tough question mechanics. See more details.?

Imposing a heavy waterproof fabric, length 4.0 m and weighing 10.0 kg, hanging with half of its length in a table. When you apply a horizontal force to pull the cloth on the table, what is the necessary work? Coefficient of friction: 0.7. Find an expression for dW = F dx and the use of calculus

The total needed work is the work against friction plus the change of potential energy Part of the fabric that hangs. The change in the potential energy of the part that is hanging is just the change PE = (m / 2) (L / 4) g (10 / 2) (9.8) (1) = 49 J in which he used the center of gravity of the hanging part of the fabric to calculate the variation of potential energy. The friction force is calculated assuming the normal force will increase as N = (5 + 2.10 x) 9.8 = uk therefore friction N = 0.7 * 9.8 * (5 + 10 / 2 x) Integration 0-2 for work that receives the work of friction = 0.7 * 9.8 * (5 * 2 +10 / 4 * 2 ^ 2) = 102.9 Total = 102.9 J Work + 49 = 151 J

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