292_Dynamics 11ed Manual

292_Dynamics 11ed Manual - B and when it is at C Units Used...

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Engineering Mechanics - Dynamics Chapter 14 Now check the loop at C T A V A + T C V C + = 1 2 Mv A 2 Mgh + 1 2 Mv C 2 Mg 2 r C + = v C v A 2 2 gh 2 r C () + = v C 14.694 m s = N C Mg M v C 2 r C = N C M v C 2 r C Mg = N C 16.825 kN = Since N C > 0 then the coaster successfully passes through loop C . * Problem 14-80 The roller-coaster car has mass M , including its passenger, and starts from the top of the hill A with a speed v A . Determine the minimum height h of the hill crest so that the car travels around both inside loops without leaving the track. Neglect friction, the mass of the wheels, and the size of the car. What is the normal reaction on the car when the car is at
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Unformatted text preview: B and when it is at C ? Units Used: kN 10 3 N = Given: M 800 kg = v A m s = r B 10 m = r C 7 m = g 32.2 ft s 2 = Solution: Check the loop at B first We require that N B = N B − M g − M − v B 2 r B ⎛ ⎜ ⎝ ⎞ ⎟ ⎠ = v B gr B = v B 9.907 m s = T A V A + T B V B + = 1 2 M v A 2 M gh + 1 2 M v B 2 M g 2 r B + = h v B 2 v A 2 − 2 g 2 r B + = h 25 m = Now check the loop at C T A V A + T C V C + = 1 2 M v A 2 M gh + 1 2 M v C 2 M g 2 r C + = v C v A 2 2 g h 2 r C − ( ) + = v C 14.694 m s = 290...
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This note was uploaded on 08/16/2011 for the course EGN 3321 taught by Professor Christianfeldt during the Spring '08 term at University of Central Florida.

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