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Homework 05

# Homework 05 - homework 05 GADHIA TEJAS Due 4:00 am Question...

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homework 05 – GADHIA, TEJAS – Due: Feb 21 2007, 4:00 am 1 Question 1 part 1 of 1 10 points Given: g = 9 . 8 m / s 2 . To test the performance of its tires, a car trav- els along a circular track of radius R = 379 m. The track is perfectly flat (no banking). The car increases its speed at uniform rate a t d | v | dt = 2 . 07 m / s 2 until the tires start skidding. If the tires start skidding when the car reaches the speed v = 30 . 2 m / s, what is the coefficient of static friction between the tires and the road? Question 2 part 1 of 3 10 points A curve of radius r is banked at angle θ so that a car traveling with uniform speed v can round the curve without relying on friction to keep it from slipping to its left or right. The acceleration of gravity is 9 . 8 m / s 2 . m μ 0 θ Find the component of the net force parallel to the incline summationdisplay vector F bardbl . 1. F = m g tan θ 2. F = m v 2 r cos θ 3. F = m v 2 r sin θ 4. F = mg cot θ 5. F = m g cos θ 6. F = m v 2 r sin θ 7. F = m v 2 r tan θ 8. F = m v 2 r tan θ 9. F = m v 2 r cos θ 10. F = m radicalbigg g 2 + v 4 r 2 Question 3 part 2 of 3 10 points If r = 50 m and v = 62 km / hr, what is θ ? Answer in units of . Question 4 part 3 of 3 10 points With what frictional force must the road push on a 1200 kg car if the driver exceeds the speed for which the curve was designed by Δ v = 18 km / hr? Answer in units of N. Question 5 part 1 of 2 10 points An amusement park ride consists of a rotat- ing circular platform 9 . 35 m in diameter from which 10 kg seats are suspended at the end of 2 . 97 m massless chains. When the system ro-

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