t2_2006_summer_answers

t2_2006_summer_answers - MIME 2300 Test 2 Name _ July 17,...

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( 29 ( 29 33 . 1 100 3 F 0 avg = + MIME 2300 Test 2 Name _______________________ July 17, 2006 In all the problems show all equations used with variables and then with values substituted so partial credit can be given wherever possible. Give units on all answers and write only in the space provided. On problems where appropriate, draw coordinate systems, datums, FBDs, K.Ds or velocity diagrams. Do not use F=ma as the primary method to solve any problems on this test ! 1a. Give two examples of conservative forces and two examples of non-conservative forces. (4 points) * Springs and gravity * Friction and any applied force besides springs and gravity 1b. Define impulsive forces and discuss why they are important. (4 points) * Large forces compared to other forces acting over a short amount of time * Permit application of conservation of momentum 2. A battery powered winch attached to a cart C pulls a 200 kg box B to the left over the smooth cart. The mass of cart, wheels, winch and battery, excluding the box, is 100 kg. Three seconds after starting from rest, the box has a speed of 2 m/s relative to the cart. For this time interval, determine (a) the final velocity of the cart and (b) the average cable tension. Ignore the size of the wheels. (19 points) Solution: Coordinate system 2 B B 2 C C 1 B B 1 C C v m v m v m v m + = + 2 v v 2 C 2 B - = ( 29 2 v 200 v 100 0 0 2 C 2 C - + = + 400 v 300 0 2 C - = s / m 33 . 1 v 2 C = = + 3 0 2 C C avg 1 C C v m dt F v m N 4 . 44 F avg = Page 1 of 4 1 __________/8 2 __________/19
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t2_2006_summer_answers - MIME 2300 Test 2 Name _ July 17,...

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