A man in a gym is holding an 8.0 kg weight at arm's length, a distance of 0.55 m from his shoulder joint. What is the torque about his shoulder joint due to the weight if his arm is horizontal?

A nervous diver stands at rest at the end of a 31 kg diving board as shown in the figure. If the mass of the diver is 123 kg and the board is 4.3 m long, what is the net torque exerted on the diving board due to gravity about the fixed end of the board? Assume the mass of the board is uniformly distributed, and be sure to include the proper sign for the torque.

(a) A woman opens a 1.50 m wide door by pushing on it with a force of 44.5 N applied at the center of the door, at an angle perpendicular to the door's surface. What magnitude of torque (in N · m) is applied about an axis through the hinges? N. m (b) A second person opens the same door, using the same force, again directed perpendicular to the surface, but now the force is applied at the edge of the door. What magnitude of torque (in N · m) is applied about the axis through the hinges now? N. m

A 2.00-m-long, 500 kg steel uniform beam extends horizontally from the point where it has been bolted to the framework of a new building under construction. A 70 kg construction worker stands at the far end of the beam. What is the magnitude of the torque about the bolt due to the worker and the weight of the beam?

A carpenter is driving a nail straight into the northern wall of the house, with an average force of 1200 N. Find the magnitude of the torque of this force about a point on the wall 3.0 m to the right of the nail.

A pirate demands that his 75 kg prisoner “walk the plank”. The prisoner walks out on an 8.0 m long, 50 kg horizontal board that juts out from the side of the pirate ship. If he walks out and stands 7.5 m from the place where the board is connected to the ship’s side, what is the net torque applied to the board?

If you and your friend are sitting on a seesaw and their masses are 60 kg and 80 kg, (a) how far you have to sit from the center of seesaw to balance it if your friend is sitting at 30 cm from the center on other side?  (b) What are torques created by each of you? What are the directions of torque?

You stepped on the edge of a bicycle wheel (radius 0.622 m) to make it slow down. If you pressed with your foot with a force of magnitude 10.0 N directed towards the center of the wheel, and the coefficient of friction between the wheel and your shoe is 0.462, what is the magnitude of the torque due to the friction?

The Achilles tendon inserts on the calcaneus (the heel bone) at a distance of 8 cm from the axis of the ankle joint. If the force generated by the muscles attached to the Achilles tendon is 3000 N, and the moment arm of this force about the ankle joint is 5 cm, what torque is created by these muscles about the ankle joint?  Hopefully it’s enough torque to move out of the way so the arrow doesn’t shoot through the tendon.

At the presentation ceremony, a championship bowler is presented a 1.58-kg trophy which he holds at arm's length, a distance of 0.655 m from his shoulder joint. (a) Determine the torque (in N · m) the trophy exerts about the shoulder joint when his arm is horizontal. (Enter the magnitude only.)   (b) Determine the torque (in N · m) the trophy exerts about the shoulder joint when his arm is at an angle of 32.0° below the horizontal. (Enter the magnitude only.)  N · m