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Unformatted text preview: N. a) Write down the definition of work in integral form, and then express the integrand in terms of T, x and h . The definition of work is W T = 1 2 T dx = 1 2 Tcos dx where is the angle between T and positive x direction. Let the angle between T and negative x direction. The integrand is Tcos = Tcos = T x/ (x 2 + h 2 ) b) What is the change in the kinetic energy of the cart during the move? According to the workenergy theorem, the change in the kinetic energy of an object is equal to the work done on the object. The definition of work yields K = W T = T 1 2 x/ (x 2 + h 2 )dx Changing the variable from x to s = (x 2 + h 2 ), we get K =  1 2 Tds = Ts 1 2 = [ (x 2 2 + h 2 )  (x 1 2 + h 2 )] = 111 J...
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This note was uploaded on 12/10/2011 for the course PHY 2048 taught by Professor Field during the Spring '08 term at University of Florida.
 Spring '08
 Field

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