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

Vector Mechanics for Engineers: Dynamics

11th Edition

ISBN: 9780077687342

Author: Ferdinand P. Beer, E. Russell Johnston Jr., Phillip J. Cornwell, Brian Self

Publisher: McGraw-Hill Education

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The area of science and mathematics concerned the motion of the objects, the relation between the force matter, and motion if specified. Forces exerted over the objects result in displacements or changes in the position of an object concerning its enviro…

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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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