Unformatted text preview: 3 F z = N − mg = m V 2 B R The acceleration is positive upwards because it is directed toward the center of rotation, which lies above the rollercoaster track. Thus, the contact force is N = mg + m V 2 B R Clearly, the contact force increases as the speed increases, which tells us that the maximum speed occurs when N = 6 mg , so that 6 mg = mg + m V 2 B R = ⇒ V 2 B = 5 g R Thus, the maximum speed is V B = 5 g R (b) At the top of the roller coaster, Newton’s Second Law tells us that in the vertical direction 3 F z = N − mg = − m V 2 T R The acceleration is positive downwards because it is directed toward the center of rotation, which lies below the rollercoaster track. Thus, the contact force is N = mg − m V 2 T R...
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This note was uploaded on 05/12/2010 for the course AME 301 taught by Professor Shiflett during the Spring '06 term at USC.
 Spring '06
 Shiflett

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