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February 25th, 2017, 09:59 AM   #1
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Review help 2

Hello I'm trying to review previous work. This question has me a little stumped. What I tried to do is

First I draw a circle, then I mark two points on the bottom and top of the circle. Then I draw the force of gravity and the force of the seat pushing up against gravity but how am I suppose to make an equation from this?




Quote:
1. A passenger on a carnival Ferris wheel moves in a vertical circle of radius R with a constant speed v. The seat remains upright during the motion. Find expressions for the force the seat exerts on the passenger when at the top of the circle and when at the bottom of the circle.
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February 25th, 2017, 11:09 AM   #2
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Quote:
1. A passenger on a carnival Ferris wheel moves in a vertical circle of radius R with a constant speed v. The seat remains upright during the motion. Find expressions for the force the seat exerts on the passenger when at the top of the circle and when at the bottom of the circle.
$|F_{net}| = |F_c| = \dfrac{mv^2}{r}$ directed toward the wheel's center at both the top & bottom of the wheel

at the bottom of the wheel ...

$F_c = N_B - mg$

$\dfrac{mv^2}{r} = N_B - mg \implies N_B = \dfrac{mv^2}{r} + mg$

at the top of the wheel ...

$F_c = mg - N_T$

$\dfrac{mv^2}{r} = mg - N_T \implies N_T = mg - \dfrac{mv^2}{r}$
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