sampleexam2soln - TAM 212 Sample Exam 2 Solution October 8...

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TAM 212 Sample Exam 2. Solution. October 8 2004, Closed Book, Open 3" x5" crib card, 1) A circular racetrack of radius D/2 is banked in order to decrease the tendency of a speeding car to skid sideways. If the car is going a constant speed V, what banking angle θ is required in order that the car not skid sideways. Draw a good free body diagram indicating all forces acting on the car. Neglect friction. N sin θ = m V 2 /(D/2); N cos θ = mg Therefore tan θ = 2V 2 /gD 2) The truck accelerates with a thrust of 6000 N. There is a coefficient of friction μ = 0.1 between the crate and the truck. Draw good Free Body Diagrams for both truck and crate. The crate starts a distance d = 3 meters from the back of the truck. How much time is it until the crate slides off? Take g = 10m/sec 2 . 6000-f = m truck a truck ; f = m crate a crate. Assume crate slides*: f = μ A = μ m crate g=1000Newtons Then a crate = f/m crate = 1 m/sec 2 And a truick = (6000-f)/m truck = 1.25m/sec 2 The crate slides back relative to the truck at 0.25 m/sec
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This note was uploaded on 05/24/2010 for the course TM 212 taught by Professor Richard during the Spring '10 term at University of Illinois, Urbana Champaign.

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sampleexam2soln - TAM 212 Sample Exam 2 Solution October 8...

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