# RAT1 - up the ramp. Re-draw the schematic above (if...

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ME360 - Dynamic Systems Prof. Gillespie - Fall 2010 RAT 1 - Due Sept 14, 12:50pm Consider a block of mass m sliding down a ramp as shown in the ﬁgure below. Assume that the frictional force f is proportional to the relative velocity between the ramp and block: f ( v ) = bv , and assume that during the time period under consideration, the block is sliding down the ramp. m f x v g Problem 1 Draw a free body diagram, clearly indicating all forces acting on the block. Problem 2 Which of the following equations could possibly describe the dynamic behavior of the sliding block system? Circle your answer and justify your answer. a) ˙ v + 3 v = - 2 b) ˙ v + v = 0 c) ˙ v + 10 v = 2 d) ˙ v - v = 3 Problem 3 Suppose that during a diﬀerent period of time to be considered, the block is moving
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Unformatted text preview: up the ramp. Re-draw the schematic above (if necessary) and draw a free body diagram. Problem 4 Now which of the following equations could possibly describe the dynamic behavior of the sliding block as it moves up the ramp? Circle your answer and justify your answer. Note: values for m , b , and may or may not be dierent in this set. a) v + 3 v =-2 b) v + v = 0 c) v + 10 v = 2 d) v-v = 3 Problem 5 Is the variable v in the equation that you picked in Problem 2 the same variable v in the equation that you picked for problem 4? a) yes, the same. b) no, dierent. The same name v for two dierent variables. Page 1 of 1...
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