Manuel is at a carnival after prom and he decides to ride the carousel. He is still dressed up and is wearing his slippery dress shoes, which have a coefficient of static friction of μ = 0.1 on the carousel deck. He starts near the center of the carousel as it speeds up until it maintains a steady period of T = 9.0s. In this problem we'd like to determine how far from the center he can stand before he begins to slip on the carousel deck. (a) Draw all the force vectors acting on Manuel at the instant shown below. You may ignore air resistance. (b) What is the direction of Manuel's acceleration vector? What is the only force that could result in this acceleration?

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Chapter1: Units, Trigonometry. And Vectors
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pls help with Parts b, c & d ASAP, thanks so much!

Problem 1
Manuel is at a carnival after prom and he decides to ride the carousel. He is still dressed up
and is wearing his slippery dress shoes, which have a coefficient of static friction of μ = 0.1 on
the carousel deck. He starts near the center of the carousel as it speeds up until it maintains
a steady period of T = 9.0s. In this problem we'd like to determine how far from the center
he can stand before he begins to slip on the carousel deck.
(a) Draw all the force vectors acting on Manuel at the instant shown below. You may
ignore air resistance.
(b) What is the direction of Manuel's acceleration vector? What is the only force that
could result in this acceleration?
Transcribed Image Text:Problem 1 Manuel is at a carnival after prom and he decides to ride the carousel. He is still dressed up and is wearing his slippery dress shoes, which have a coefficient of static friction of μ = 0.1 on the carousel deck. He starts near the center of the carousel as it speeds up until it maintains a steady period of T = 9.0s. In this problem we'd like to determine how far from the center he can stand before he begins to slip on the carousel deck. (a) Draw all the force vectors acting on Manuel at the instant shown below. You may ignore air resistance. (b) What is the direction of Manuel's acceleration vector? What is the only force that could result in this acceleration?
(c) Now, use (a) and (b) to calculate the distance from the center at which he will begin
to slip.
(d) What happens to the distance you found in (c) if Manuel's brother (who is twice as
heavy as Manuel) were to wear his dress shoes and repeat the experiment?
Transcribed Image Text:(c) Now, use (a) and (b) to calculate the distance from the center at which he will begin to slip. (d) What happens to the distance you found in (c) if Manuel's brother (who is twice as heavy as Manuel) were to wear his dress shoes and repeat the experiment?
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