torque (in N · m) exerted by the fish about an axis perpendicular to the page and

To study torque experimentally, you apply a force to a beam. One end of the beam is attached to a pivot that allows the beam to rotate freely. The pivot is taken as the origin or your coordinate system. You apply a force of F = Fx i + Fy j + Fz k at a point r = rx i + ry j + rz k on the beam. Part a) Calculate the magnitude of the torque, in newton meters, when the components of the position and force vectors have the values rx = 3.71 m, ry = 0.075 m, rz = 0.085 m, Fx = 1.2 N, Fy = -7.6 N, Fz = 1.2 N.  Part b) If the moment of inertia of the beam with respect to the pivot is I = 72 kg˙m^2, calculate the magnitude of the angular acceleration of the beam about the pivot, in radians per second squared.

A fisherman is fishing with a pole that makes an angle of 20.0° above the horizontal. The distance from the person's hand to the tip of the pole is  L = 1.85 m.  A fish is on the line, and it pulls the line with a force of  F = 116 N  at an angle 37.0° below the horizontal. What is the magnitude of the torque (in N · m) exerted by the fish about an axis perpendicular to the page and passing through the person's hand?

A capstan is a device used on old sailing ships to raise the anchor. A sailor pushes the long lever, turning the capstan and winding up the anchor rope. If the capstan turns at a constant speed, the net torque on it, is zero. The rope tension due to the weight of the anchor is 1500 N. The distance from the axis to the point on the lever where the sailor pushes is seven times the radius of the capstan around which the rope is wound.With what force must the sailor push in order to turn the capstan at a constant speed, meaning that the net torque on the capstan is zero?

The wheels, axle, and handles of a wheelbarrow weigh 60.0 N. The load chamber and its contents weigh 525 N. The drawing shows these two forces in two different wheelbarrow designs. To support the wheel- barrow in equilibrium, the man’s hands apply a force F to the handles that is directed vertically upward. Consider a rotational axis at the point where the tire contacts the ground, directed perpendicular to the plane of the paper. Find the magnitude of the man’s force for both designs.

Consider a rigid rod of length 2L acted upon by some forces. All forces labeled F have the same magnitude. Which cases have a net torque on the rod about its center?

Two children hang by their hands from the same tree branch. The branch is straight, and grows out from the tree trunk at an angle of 27.0° above the horizontal. One child, with a mass of 41.0 kg, is hanging 1.05 m along the branch from the tree trunk. The other child, with a mass of 31.0 kg, is hanging 2.35 m from the tree trunk. What is the magnitude of the net torque exerted on the branch by the children? Assume that the axis is located where the branch joins the tree trunk and is perpendicular to the plane formed by the branch and the trunk.

A long, thin rod is pinned so that it can rotate about its center. A force with a magnitude of 80.0 N acts a distance d =14.3 cm from the center of the rod, as shown in the figure below. If the force generates a 3.60 N·m torque on the rod, what is the angle θ that the force makes with the rod?

Two children hang by their hands from the same tree branch. The branch is straight, and grows out from the tree trunk at an angle of 27.0° above the horizontal. One child, with a mass of 43.0 kg, is hanging 1.25 m along the branch from the tree trunk. The other child, with a mass of 32.0 kg, is hanging 2.10 m from the tree trunk. What is the magnitude of the net torque exerted on the branch by the children? Assume that the axis is located where the branch joins the tree trunk and is perpendicular to the plane formed by the branch and the trunk.

The fishing pole in the figure below makes an angle of 20.0° with the horizontal. What is the magnitude of the torque exerted by the fish about an axis perpendicular to the page and passing through the angler's hand if the fish pulls on the fishing line with a force F = 125 N at an angle 37.0° below the horizontal? The force is applied at a point L = 1.86 m from the angler's hands. N⚫m ·L. 20.0° -1 20.0° 37.0° Additional Materials i