midterm2_problems

# midterm2_problems - PHYS521. Biological Physics. Midterm...

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PHYS521. Biological Physics. Midterm Exam #2 November 18, 2010 Each problem is graded out of 10 points. It is enough to solve two problems to get full credit for the exam. If you solve more problems, you will have extra credit. Please give understandable explanations. No partial credit will be given for wrong results without explanations. Problem 1 A muscle fiber is placed in an apparatus that periodically stretches it. That is, the fiber’s length is forced to change in time as ) sin( ) ( 0 t A x t x . The force exerted back on the apparatus by the fiber is then also periodic function of time. For small amplitude A , it is a wave with a phase shift )] sin( [ ) ( 0 t B f t f . Here A and B are positive constants. If the phase shift is greater than zero, we say that “the displacement lags the force”. (a. 5 points) Work out the rate at which the apparatus does work on the fiber (i.e., the power). Find the average of this rate over one full cycle.

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## This note was uploaded on 12/13/2011 for the course PHYS 521 taught by Professor Staff during the Fall '10 term at South Carolina.

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midterm2_problems - PHYS521. Biological Physics. Midterm...

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