Two forces, F1=100 N (Newton) and F2=20N, are applied on opposite sides of a door's knob at angles theta_1=30 degrees and theta_2=60 degrees respectively, causing the door to rotate (about the axis passing though its hinges). If the distance from the knob to the rotation axis is 0.8 meter, find the net torque exerted on the door and specify the direction of rotation of the door (in this problem, assume that the force F1 causes a counterclockwise rotation and F2 a clockwise rotation). A.) Net Torque = 26.14 N.m; the door rotates counterclockwise. B.) Net Torque = -25.4 N.m; the door rotates counterclockwise. C.) Net Torque = 123.8 N.m; the door rotates clockwise. D.) Net Torque = 1.784 N.m; the door rotates clockwise.

When tightening a bolt, you push perpendicularly on a wrench with a force of 166 N at a distance of 0.140 m from the center of the bolt. (a) How much torque are you exerting in newtons ✕ meters (relative to the center of the bolt)?  N · m (b) Convert this torque to footpounds.  ft · lb

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.) Carefully draw a diagram which shows the force F which produces the torque for this situation, the vector i which locates the point of application of the force relative to the shoulder joint and the angle 0 between the direction of these two vectors. See if you can write a relationship that will allow you to determine the magnitude of the torque i if you know the magnitude of the vectors i and F, and also the angle 0 between their direction. N · m (b) Determine the torque (in N · m) the trophy exerts about the shoulder joint when his arm is at an angle of 35.0° below the horizontal. (Enter the magnitude only.) Carefully draw a diagram which shows the force F which produces the torque for this…

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)  Enter a vector expression for the resulting torque, in terms of the unit vectors i, j, k and the components of F and r.  Part (b)  Calculate the magnitude of the torque, in newton meters, when the components of the position and force vectors have the values rx = 4.42 m, ry = 0.015 m, rz = 0.035 m, Fx = -4.2 N, Fy = 6.6 N, Fz = 2.8 N.   Part (c)  If the moment of inertia of the beam with respect to the pivot is I = 368 kg˙m2, calculate the magnitude of the angular acceleration of the beam about the pivot, in radians per second squared.