You are installing a new spark plug in your car, and the manual specifies that it be tightened to a torque that has a magnitude of 14 N·m. Using the data in the figure, determine the magnitude F of the force that you must exert on the wrench.

The distance from the fisherman's hand to the tip of the rod is  L = 1.94 m.  A fish is on the line, and it pulls the line with a force of  F = 110 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 fisherman's hand

When a person stands on tiptoe (a strenuous position), the position of the foot is as shown in Figure P8.24a. The total gravitational force on the body, F, is supported by the force n exerted by the floor on the toes of one foot. A mechanical model of the situation is shown in Figure P8.24b, where T is the force exerted by the Achilles tendon on the foot and R is the force exerted by the tibia on the foot. Find the values of T, R, and 0 when F, = n = 700. N. -Achilles tendon Tibia 15.0° 18.0 cm 25.0 cm Figure P8.24

A skater is spinning about a fixed symmetrical vertical axis. When she lifts her arms above her head, her moment of inertia about this axis of rotation drops from 12.0 kg m2 to 8.00 kg m2. What is the ratio of her final rotational energy and her initial rotational energy?