17–42.The uniform crate has a mass of 50 kg and rests on the carthaving an inclined surface. Determine the smallestacceleration that will cause the crate either to tip or sliprelative to the cart. What is the magnitude of thisacceleration? The coefficient of static friction between thecrate and the cart is .ms= 0.5SOLUTIONEquations of Motion: Assume that the crate slips, then .a(1)(2)(3)Solving Eqs. (1), (2), and (3) yieldsAns. Since , then crate will not tip. Thus, the crate slips. Ans. x 6 0.3 ma = 2.01 m>s2N = 447.81 N x = 0.250 mR

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