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13-73 solution

# 13-73 solution - 13-73 The 0.8-Mg car is traveling over the...

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Unformatted text preview: 13-73. The 0.8-Mg car is traveling over the hill having the shape of a parabola. If the driver maintains a constant speed of 9 m/s, determine both the resultant normal force and the resultant frictional force that all the wheels of the , ear exert on the road at'the instant 'it' reaches point A: Neglect the size of the car. Geometry : Hem, % = 41.006251 and :71: = 4.00625. The slope angle 6 at poimAis given by m9=ﬂ = =_ 0 de-mm —0.(X)625(80) 9 26.57 and the radius ofcurvatureatpointA is a [1+(dyldtﬁlm _ [1+(—o.00525x)=]”" ld’y/dx‘l ' |—0.006251 m. = 223.61m 34min): of Motion : Here. 0, =0. Applying Eq. 13— 8 with 9= 26.57“ and p = 223.61m, wchave EE=m4; 800(9.81)sin 26.S7°—F}=800(0) 1.} = 3509.73 N = 3.51 IN V a 91 800(9.81)nos 26.57 -N — 8m[m) N = 6729.67 N = 6.73 W All 13-74. A girl having a mass of 25 kg sits at the edge of the merry—go-round so her center of mass G is at a distance of 1.5 m from the axis of rotation. if the angular motion of the platform is slowly increased so that the girl’s tangential component of acceleration can be neglected, determine the maximum speed which she can have before she begins to slip off the merry-go—round. The coefﬁcient of static friction between the girl and the merry-go—round is 1.1., = 0.3. 2 .321; = n.4,; 0.304525) = 2.1%) v = 2.10 ml: Ans ...
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