Worksheet 3: Mixed Review- Torque, MI and Equilibrium 1. A force of 17 N is applied to the end of a line joining the pivot point to the handle. What is the magnitude of the torque about the pivot point produced by this force? 10.7 N ∙ m B) 9.7 N ∙ m C) 12.0 N ∙ m D) 7.6 N ∙ m 2. free to rotate about a frictionless axis through a 0.63-m long torque wrench at an angle 45° from A) 5. Two wheels are fixed to each other and are A boy and a girl are balanced on a massless their concentric center. As shown, four forces are exerted tangent to the wheels. The magnitude of the net torque is: (A) zero (B) FR (C) 2FR (D) 4FR (E) 8FR seesaw. The boy has a mass of 60 kg and the 4. girl's mass is 50 kg. If the boy sits 1.5 m from mass M is attached the pivot point on one side of the seesaw, where by must the girl sit on the other side for equilibrium? length A) ceiling, making an 1.8 m B) 1.3 m C) 2.5 m D) 3.0 m E) 1.2 m An object of a string L to of the angle of 30o with The figure shows a person's foot. In that figure, the Achilles tendon exerts a force of magnitude F = 720 N. What is the magnitude of the torque that this force produces about the respect to the vertical axis. The object moves in a horizontal circle, so that the string sweeps out a cone. What is the moment of inertia of the mass with respect to the vertical axis? (a) ML^2 /4 (b) ML^2 /2 (c) 3ML^2 /4 (d) ML^2. ankle joint? A) 26 N ∙ m B) 36 N ∙ m C) 16 N ∙ m D) 21 N ∙ m E) 12 N ∙ m 5. Two objects, of masses 6 and 8 kilograms, are hung from the ends of a stick that is 70 cm long and has marks every 10 cm, as shown. If 3. Five forces act on a rod that is free to pivot at point P, as shown in the figure. Which of these forces is producing a counter-clockwise torque about point P? (There could be more than one correct choice.) A) force A C) force C B) force B D) force D E) force E the mass of the stick is negligible, at which of the points indicated should a cord be attached if the stick is to remain horizontal when suspended from the cord?. A) A (B) B (C) C (D) D (E)E