Three forces are applied to a wheel of radius 0.350 m, as shown in the figure (Figure 1). One force is perpendicular to the rim, one is tangent to it, and the other one makes a 40.0∘ angle with the radius. Let F1=12.3N, F2=14.4N, and F3=8.70N. What is the net torque on the wheel due to these three forces for an axis perpendicular to the wheel and passing through its center? Let counterclockwise torques be positive.

A wheel of inner radius r, = 14.2 cm and outer radius r, = 35.0 cm shown in the figure below is free to rotate about the axle through the origin o. What is the magnitude of the net torque on the wheel due to the three forces shown? (Assume F, = 3.80 N, F, = 6.20 N, and F, = 14.6 N.) N. m F, 45.0°

A counterweight of mass m = 3.60 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 = 7.00 cm and mass M = 3.00 kg. The spokes have negligible mass. (a) What is the net torque on the system about the axle of the pulley? V N.m to the right along the axis of rotation v magnitude 2.4695 direction (b) When the counterweight has a speed v, the pulley has an angular speed w = v/R. Determine the magnitude of the total angular momentum of the system about the axle of the pulley. (3.705 Note that your numerical answer is multiplied by the symbol v in the answer box. kg • m)v (c) Using your result from (b) and 7 = L/dt, calculate the acceleration of the counterweight. (Enter the magnitude of the acceleration.) 6.925 The expression for the angular momentum in part (b) has a factor of v. How do you determine dL/dt, from this expression? m/s2

In the figure, block 1 has mass m1 = 0.460 kg, block 2 has mass m2 = 0.500 kg, and the pulley, which is mounted on a horizontal axle with negligible friction, has radius R = 0.0500 m. Tension T1, the tension force on block 1, is 4.54N. Tension T2, the tension force on block 2, is 4.87N. What is the net torque acting on the pulley? Please note that I know that the answer is to be that taunet = -T1R + T2R Why is the torque associated with T1 negative when it produces a counterclockwise rotation, and the torque associated with T2 positive when it produces a clockwise rotation? I thought that if the direction of rotation was counterclockwise, then the torque is positive, and if the direction was clockwise, then the torque is negative.

Problem 2. Three forces are applied to a disk of radius 0.35 m and mass 2.5 kg, as shown in figure below. One force is perpendicular to the rim, one is tangent to it, and the other one makes a 40.0° angle with the radius. The moment of inertia of a disk about its center is I = (1/2)MR². (a) What is the net torque on the disk due to these three forces for an axis perpendicular to the disk and passing through its center? (b) What is the angular acceleration of the disk? 11.9 N 0.350 m 40.0° 14.6 N 8.50 N

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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?

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