7. You are working during your summer break as an amusementCR park ride operator. The ride you are controlling consists ofa large vertical cylinder that spins about its axis fast enoughany person inside is held up against the wall when thefloor drops away (Fig. P6.7). The coefficient of static frictionbetween a person of mass mand the wall is u, and the radiusof the cylinder is R. You are rotating the ride with an angularspeed o suggested by yoursupervisor. (a) Suppose avery heavy person entersthe ride. Do you need toincrease the angular speedso that this person willthatnot slide down the wall?(b) Suppose some one entersthe ride wearing a very slip-pery satin workout outfitIn this case, do you need toincrease the angular speedso that this person will notRFigure P6.7slide down the wall?

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Asked Oct 25, 2019
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7. You are working during your summer break as an amusement
CR park ride operator. The ride you are controlling consists of
a large vertical cylinder that spins about its axis fast enough
any person inside is held up against the wall when the
floor drops away (Fig. P6.7). The coefficient of static friction
between a person of mass mand the wall is u, and the radius
of the cylinder is R. You are rotating the ride with an angular
speed o suggested by your
supervisor. (a) Suppose a
very heavy person enters
the ride. Do you need to
increase the angular speed
so that this person will
that
not slide down the wall?
(b) Suppose some one enters
the ride wearing a very slip-
pery satin workout outfit
In this case, do you need to
increase the angular speed
so that this person will not
R
Figure P6.7
slide down the wall?
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7. You are working during your summer break as an amusement CR park ride operator. The ride you are controlling consists of a large vertical cylinder that spins about its axis fast enough any person inside is held up against the wall when the floor drops away (Fig. P6.7). The coefficient of static friction between a person of mass mand the wall is u, and the radius of the cylinder is R. You are rotating the ride with an angular speed o suggested by your supervisor. (a) Suppose a very heavy person enters the ride. Do you need to increase the angular speed so that this person will that not slide down the wall? (b) Suppose some one enters the ride wearing a very slip- pery satin workout outfit In this case, do you need to increase the angular speed so that this person will not R Figure P6.7 slide down the wall?

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Expert Answer

Step 1

Given,

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Coefficient of static friction = u Mass of person =m Radius of cylinder = R Angular speed o

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Step 2

FBD of situation can be shown by the below diagram,

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A в 2

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Step 3

Part (a):

By balancing forces in vertical direction,

S...

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Mg-Nma N mar As there is no acceleration due to constant angular speed,ma 0 Mg-mar0 Mg mar

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