Class ManagementHelp 6.2-6.3 Begin Date: 8/1/2017 12:00:00 AM - Due Date: 9/20/2

Question

Class ManagementHelp 6.2-6.3 Begin Date: 8/1/2017 12:00:00 AM - Due Date: 9/20/2017 11:00:00 AM End Date: 12/8/2017 11:00:00 AM (10%) Problem 8: A nail is stuck in the tread of a tire with radius r = 0.17 m. It is held in with a maximum frictional force of F= 0.98 N. The nail has a mass of m =98 50% Part (a) What is the tire tread's lowest tangential speed, in meters per second, at which the nail will pull free from the tire? Assume the tire is spinning vertically but not in contact with the road Grade Summary Deductions Potential 0% 100% sin cos tan() | 4 5 6 1 23 0 Submissions Attempts remaining: 10 (5% per attempt) detailed view cotan0asinO acos acotanOsinh(0) tanh)cotanh( cosh0 END o Degrees Radians BACKSPACE CLEAR Submit Hint I give up! Hints: 2% deduction per hint. Hints remaining: 2 Feedback: 0% deduction per feedback 50% Part (b) A t what tangential speed, in meters persecond, will the nail pull free when it is at the top of the tire?

Explanation / Answer

here,

mass of nail , m = 9 g = 0.009 kg

r = 0.17 m

frictional force , ff = 0.98 N

a)

let the tire tread's lowest tangential speed be v

at the lowest point

ff = m * v^2 /r + m* g

0.98 = 0.009 * ( v^2 /0.17 + 9.81 )

v = 4.1 m/s

b)

at the top of the tire

let the tire tread's lowest tangential speed be v

ff = m * v^2 /r - m* g

0.98 = 0.009 * ( v^2 /0.17 - 9.81 )

v = 4.5 m/s

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