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Posted: Wed May 18, 2022 7:42 am
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71 A plank with mass M = 6.00 kg rides on top of two identical solid cylindrical rollers that have R = 5.00 cm and m= 2.00 kg (Figure P11.67). M R R The plank is pulled by a constant horizontal force of magnitude F = 6.00 N applied to the end of the plank and perpendicular to the axes of the cylinders (which are parallel). The cylinders roll without slipping on a flat surface. Also, no slipping occurs between the cylinders and the plank. (a) Find the acceleration of the plank and that of the rollers. (b) What frictional forces are acting on the plank and the rollers? a. (a) ap = 0.857 m/s2, ar = 0.429 m/s2; (b) f = 0.429 N b. (a) ap = 0.750 m/s2, ar = 0.750 m/s2; (b) f = 0.750 N C. (a) ap = 0.800 m/s2, ar = 0.400 m/s2; (b) fp = 0.600 N, FR = 0.200 N d. (a) ap = 0.667 m/s2, ar = 0.667 m/s2; (b) fp = 1.00 N, FR = 0.333 N correct: c
71 A plank with mass M = 6.00 kg rides on top of two identical solid cylindrical rollers that have R = 5.00 cm and m= 2.00 kg (Figure P11.67). M R R The plank is pulled by a constant horizontal force of magnitude F = 6.00 N applied to the end of the plank and perpendicular to the axes of the cylinders (which are parallel). The cylinders roll without slipping on a flat surface. Also, no slipping occurs between the cylinders and the plank. (a) Find the acceleration of the plank and that of the rollers. (b) What frictional forces are acting on the plank and the rollers? a. (a) ap = 0.857 m/s2, ar = 0.429 m/s2; (b) f = 0.429 N b. (a) ap = 0.750 m/s2, ar = 0.750 m/s2; (b) f = 0.750 N C. (a) ap = 0.800 m/s2, ar = 0.400 m/s2; (b) fp = 0.600 N, FR = 0.200 N d. (a) ap = 0.667 m/s2, ar = 0.667 m/s2; (b) fp = 1.00 N, FR = 0.333 N correct: c