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solutions3B - PHYS 152 EXAM 3B SOLUTIONS PROBLEM 1 Fy =...

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PHYS 152 EXAM 3B SOLUTIONS Fall Semester 2008 PROBLEM 1 Σ F y = mg sin37° – T = ma Σ τ = TR = TR = (½ MR 2 )( a / R ) or T = ½ Ma (A) a = M m mg 2 1 37 sin = 5.06 m/s 2 (B) α = a / R = 12.6 rad/s 2 (C) T = ½ Ma = 2.53 N PROBLEM 2 (A) Σ τ = (1.0 m)(600 N)sin53° – (0.75 m)(240 N)sin37° – (1.5 m) M (9.8)sin37° = 0 M = 41.9 kg (B) Σ F x = H T = 0 H = 600 N (C) Σ F y = V – 240 N – (41.9 kg)(9.8) = 0 V = 651 N PROBLEM 3 (A) r GM v orb = 7.72×10 3 m/s (B) a rad = v 2 / r = 8.91 m/s 2 (C) T = 2
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