162_Physics ProblemsTechnical Physics

162_Physics ProblemsTechnical Physics - 164 Circular Motion...

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164 Circular Motion and Other Applications of Newton’s Laws Section 6.2 Nonuniform Circular Motion P6.13 M = 40 0 . kg , R = 300 . m , T = 350 N (a) FT M g Mv R =− = 2 2 vT M g R M 2 2 F H G I K J bg v 2 700 400 980 40 0 23 1 F H G I K J = .. . . . af ej ms 22 v = 481 . m s (b) nM gF Mv R −= = 2 g Mv R =+ = + F H G I K J = 2 40 0 9 80 23 1 700 . . N TT Mg child + seat FIG. P6.13(a) Mg child alone n FIG. P6.13(b) P6.14 (a) Consider the forces acting on the system consisting of the child and the seat: Fm a Tm gm v R vR T m g T m g yy =⇒ = F H G I K J F H G I K J 2 2 2 2 2 (b) Consider the forces acting on the child alone: a nm g v R F H G I K J 2 and from above, T m g 2 2 F H G I K
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