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problem11_93

# University Physics with Modern Physics with Mastering Physics (11th Edition)

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11.93: a) Taking torques about the left edge of the left leg, the bookcase would tip when , 750 ) m 1.80 ( ) m 90 . 0 )( 1500 ( Ν = = Ν F and would slip when , 600 ) 1500 )( ( s Ν = Ν = μ F so the bookcase slides before tipping. b) If F is vertical, there will be no net horizontal force and the bookcase could not slide. Again taking torques about the left edge of the left leg, the force necessary to tip the case is kN. 5 . 13 ) m 10 . 0 ( ) m 90 . 0 )( 1500 ( = Ν c) To slide, the friction force is ), cos ( s θ F w μ f + = and setting this equal to θ F sin and solving for F gives . cos sin s s θ μ w
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Unformatted text preview: F-θ = To tip, the condition is that the normal force exerted by the right leg is zero, and taking torques about the left edge of the left leg, ), m 90 . ( ) m 0.10 ( cos m) (1.80 sin w θ F θ F = + and solving for F gives . sin 2 cos ) 9 1 ( θ θ w F + = Setting the expression equal gives , cos sin ) sin 2 cos ) 9 1 (( s s θ μ θ θ θ μ-= + and solving for θ gives . 66 ) 2-1 ( ) 9 10 ( arctan s s ° = = μ μ θ...
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