Explanation Given: μ S = 0.35 μ k = 0.25 → + ∑ F x = m a x : F = W g v B 2 ρ cos θ + ↑ ∑ F y = m a y : N − W = − W g v B 2 ρ sin θ Or: N = W ( 1 − v B 2 g ρ sin θ ) Now F max = μ S N = μ S W ( 1 − v B 2 g ρ sin θ ) And for the component not to slide F < F max Or: W g v B 2 ρ cos θ < μ S W ( 1 − v B 2 g ρ sin θ ) Or: v B 2 < μ S g ρ cos θ + μ S sin θ … (1) To ensure that this inequality is satisfied ( v B 2 ) max must be less than or equal to minimum value of μ S g ρ / ( cos θ + μ S sin θ ) is maximum To determine (b) Values of θ for which sliding is impending.

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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Chapter 12.1, Problem 12.63P

To determine

(a)

Maximum allowable constant speed vB if the component is not to slide on BC while being transferred.

To determine

(b)

Values of θ for which sliding is impending.

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Chapter 12.1, Problem 12.62P

Chapter 12.1, Problem 12.64P

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(a) Maximum allowable constant speed v B if the component is not to slide on BC while being transferred.

Solution Summary: The author explains the maximum allowable constant speed v_B if the component is not to slide on BC while being transferred.

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(a)

Maximum allowable constant speed vB if the component is not to slide on BC while being transferred.

(b)

Values of θ for which sliding is impending.

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Chapter 12 Solutions

(a) Maximum allowable constant speed v B if the component is not to slide on BC while being transferred.

Solution Summary: The author explains the maximum allowable constant speed v_B if the component is not to slide on BC while being transferred.

Concept explainers

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(a) Maximum allowable constant speed vB if the component is not to slide on BC while being transferred.

(b) Values of θ for which sliding is impending.

Want to see the full answer?

Chapter 12 Solutions

(a)

Maximum allowable constant speed vB if the component is not to slide on BC while being transferred.

(b)

Values of θ for which sliding is impending.