To remove a nut from an old rusty bolts, you apply a 100 neutron force to the end of a wrench at a 45° angle to the wrench handle. The distance from the applied force to the axis of the bolt is 25 cm. what is the torque exerted on the bolt and N.m

The radius of a park merry-go-round is 2.5 m. To start it rotating, you wrap a rope around it and pull with a force of 260 N for 20 s. During this time, the merry-go-round makes one complete rotation. (a) Find the angular acceleration of the merry-go-round. rad/s2 (b) What is the magnitude of the torque exerted by the rope on the merry-go-round? N-m (c) What is the moment of inertia of the merry-go-round? kg-m2 eBook

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 = 115 N at an angle 37.0° below the horizontal? The force is applied at a point L = 2.20 m from the angler's hands. N.m 20.0° 20.0⁰ 37.0° F

A toy Ferris wheel that is at rest has a radius of 20.0 cm. A perpendicular force of 1.5 N is applied to the outer most part of the Ferris wheel. The toy Ferris when has a rotational inertia of 0.050 kg m2 . a) What is net Torque applied to the Ferris wheel? b) What is the angular acceleration of the Ferris wheel? k) If the Ferris wheel maintains this angular acceleration for 3.0 seconds, what will its final angular velocity be? d) What will be its rotational Kinetic Energy after 3.0 seconds?

A 23 cm wrench is used to generate a troque at a bolt. a force of 51 N is applied at the end of the wrench at an angle of 51° to the wrench. The torque generated at the bolt is? Answer in N.m

12.0 N 30.0% b 10.0 N 9.00 N The figure shows one cylinder inside another. The inner cylinder has a radius of a = 0.5 m and a mass of 2 kg. The outer cylinder has a radius b = 1.5 m and a mass of 12 kg. On the system act 4 forces. Those shown in figure 2 and a friction force. If the magnitude of the frictional torque is 1.75 mN. Determine: a. The net torque vector on the system. (Magnitude and direction) b. The total moment of inertia of the system

A gardener is using a tool as shown in the figure to pull weeds. 24 cm You will notice that the tool is designed with a built-in pivot point about which the torques are applied. If the gardener applies a 1.77 Nm torque (about the pivot point) in order to pull a weed, determine the resistive force (in N) the weed exerts on the weed puller. N

During a very quick stop, a car deceleraes at 7.00 m/s^2.a. What is the angular acceleration of its 0.280-m-radius tires, assuming they do not slip on the pavement?b. How many revolutions do the tires make before coming to rest, given their initial angular velocity is 95.0 rad/s?c. How long does the car take to stop completely?d. What distance does the car travel in this time?e. What was the car’s initial velocity?f. Do the values obtained seem reasonable, considering that this stop happens very quickly?

A student holds a bike wheel and starts it spinning with an initial angular speed of 9.0 rotations per second. The wheel is subject to some friction, so it gradually slows down. In the 10.0 s period following the inital spin, the bike wheel undergoes 77.5 complete rotations. Assuming the frictional torque remains constant, how much more time At, will it take the bike wheel to come to a complete stop? Ats S The bike wheel has a mass of 0.825 kg and a radius of 0.385 m. If all the mass of the wheel is assumed to be located on the rim, find the magnitude of the frictional torque t; that was acting on the spinning wheel. Tf = N.m

A counterweight of mass m = 4.70 kg is attached to a light cord that is wound around a pulley as shown in the figure below. The pulley is a thin hoop of radius R = 9.00 cm and mass M = 1.50 kg. The spokes have negligible mass. M Ⓡ (a) What is the net torque on the system about the axle of the pulley? magnitude N.m direction ---Select--- (b) When the counterweight has a speed v, the pulley has an angular speed = v/R. Determine the magnitude of the total angular momentum of the system about the axle of the pulley. kg. m)v (c) Using your result from (b) and 7 = dĹ/dt, calculate the acceleration of the counterweight. (Enter the magnitude of the acceleration.) m/s²