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al they often have at: D TASTA Appicationsdistrib x-* scheide a The Expert TA | Human-lke Grax+ ta.com/Commor/Take TutorialAssignment.aspx Snudent adabertope HW s- Applications of Newton's Laws Begin Date: 827/2018 10:0000 AM- Dee Date: 930 PM 0 PM End Date: 1221/2018 600-00 ») Problem 14: lfacar takes a basked eune at lessthan a given speed metin is needed to keep itfr a sliding toward the sside of the curve (a real probles on icy mountain roads). Part (o) Caleulate the minimum aspeed, in metern per secoed, required to take a 96 mradin ve banked at 15 so that you deu't slide ompletedinwads, assning there is no friction ompieted artial ompleted artial Partial Degrees Radians @ & 50% Part (b) what is the mininum coefficient of friction needed fr a frgh ened drier to take te sarne curve at ts na?

Explanation / Answer

here,

a)

radius , r = 96 m

theta = 15 degree

the minimum speed for a banked curve without friction , v = sqrt(r*g*tan(theta))

v = sqrt(96 * 9.81 * tan(15)) m/s

v = 15.89 m/s

b)

speed , v1 = 16 km/h = 4.44 m/s

for a banked curve with friction

the minimum speed , v = sqrt((tan(theta) + u) * rg /( 1 - u * tan(theta)))

4.44 = sqrt((tan(15) + u) * 96 * 9.81 /( 1 - u * tan(15)))

solving for u

u = 0.23

the minimum coefficient of friction is 0.23

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