Explanation Given information: Mass m Radius r Initial velocity v 0 Friction coefficient μ k Concept used: Following formula is used: 1. Sum of horizontal forces, ∑ F x = m a 2. Sum of moments about mass center, ∑ M G = I α Calculation: Friction force, f = μ k N f = μ k m g Sum of horizontal forces, ∑ F x = m a f = m a μ k m g = m a a = μ k g ← Sum of moments about mass center, ∑ M G = I α f × r = m k 2 α μ k m g × r = m k 2 α α = μ k g r k 2 rad/s 2 Velocity equation, v = v 0 − a t → 0 = v 0 − μ k g t t = v 0 μ k g To determine (b) Find magnitude of time t 1 . To determine (c) Find distance travelled.

12th Edition

ISBN: 9781259977305

Author: BEER, Ferdinand P. (ferdinand Pierre), Johnston, E. Russell (elwood Russell), Cornwell, Phillip J., SELF, Brian P.

Publisher: Mcgraw-hill Education,

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Chapter 16.1, Problem 16.69P

To determine

(a)

Find magnitude of ω0.

To determine

(b)

Find magnitude of time t1.

To determine

(c)

Find distance travelled.

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Chapter 16.1, Problem 16.68P

Chapter 16.1, Problem 16.70P

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