Explanation Given information: θ = 70 o m = 80 k g μ = 0.2 h = 1.5 m ρ = 5 m Formula used: F = m a F = μ N Calculation: Form the given figure, we have ⇒ ρ = 5 + 1.5 cos ( 70 o ) ; ⇒ 5.513 m ; Now we will calculate the minimum speed of the rider so that he does not slide down the wall ⇒ ∑ F y = 0 ; ⇒ N cos ( 70 o ) + F sin ( 70 o ) − m g = 0 ; ⇒ N cos ( 70 0 ) + μ N sin ( 70 o ) − m g = 0 ; ⇒ N = m g cos ( 70 o ) + μ sin ( 70 o ) ; ⇒ ( 80 ) ( 9.81 ) cos ( 70 o ) + 0.2 sin ( 70 o ) ; ⇒ 1480.9 N ; Now we will find the sum of normal forces ⇒ ∑ F n = m a n ; ⇒ m v 2 ρ ; ⇒ N sin ( 70 o ) − F cos ( 70 o ) = m v 2 ρ ; ⇒ N sin ( 70 o ) − μ N cos ( 70 o ) = m v 2 ρ ; Solve for v; ⇒ v = N [ sin ( 70 o ) − μ N cos ( 70 o ) ] ρ m ; ⇒ ( 1480.9 ) ( sin ( 70 o ) − 0

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 12.1, Problem 12.59P

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The range of values of the constant speed for which the platform will remain at h = 1.5 m at given condition.

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Chapter 12.1, Problem 12.58P

Chapter 12.1, Problem 12.60P

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The range of values of the constant speed for which the platform will remain at h = 1.5 m at given condition.

Solution Summary: The author calculates the minimum speed of the rider so that he doesn't slide down the wall.

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The range of values of the constant speed for which the platform will remain at h = 1.5 m at given condition.

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