(a) Explanation Given information: The mass of the cylindrical can is m . The coefficient of static friction ( μ s ) is 0.25 . The height of the cylindrical can is h . The diameter of the cylindrical can is d . The acceleration due to gravity is g . Calculation: Show the free body and kinetic diagram of the cylindrical can, when the slide as in Figure (1). Here, W is the weight of the cylindrical can, F is the horizontal force on the cylindrical can, and N is vertical force on the cylindrical can. Refer to Figure (1), Calculate the horizontal forces by applying the equation of equilibrium: ∑ F x = m a F = m a cos 30 ° F = 0.866 m a (1) Calculate the vertical forces by applying the equation of equilibrium: ∑ F y = m a N − m g = − m a sin 30 ° N = − 0.5 m a + m g N = m ( − 0.5 a + g ) (2) Calculate the coefficient of static friction ( μ s ) : μ s = F N Substitute 0 (b) To determine The smallest ratio ( h/d ) for which the can will tip before it slides.

11th Edition

ISBN: 9781259633133

Author: BEER

Publisher: MCG

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Chapter 16.1, Problem 16.8P

(a)

To determine

The magnitude of the upward acceleration (a) for which the can will slide on the bracket.

(b)

To determine

The smallest ratio (h/d) for which the can will tip before it slides.

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Chapter 16.1, Problem 16.7P

Chapter 16.1, Problem 16.9P

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The magnitude of the upward acceleration ( a ) for which the can will slide on the bracket.