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. (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. (b) Calculate the magnitude of the torque, in newton meters, when the components of the position and force vectors have the values rx = 2.92 m, ry = 0.065 m, rz = 0.025 m, Fx = 5.8 N, Fy = -1.8 N, Fz = 6.6 N. (c) If the moment of inertia of the beam with respect to the pivot is I = 498 kg˙m2, calculate the magnitude of the angular acceleration of the beam about the pivot, in radians per second squared.
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.
(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.
(b) Calculate the magnitude of the torque, in newton meters, when the components of the position and force vectors have the values rx = 2.92 m, ry = 0.065 m, rz = 0.025 m, Fx = 5.8 N, Fy = -1.8 N, Fz = 6.6 N.
(c) If the moment of inertia of the beam with respect to the pivot is I = 498 kg˙m2, calculate the magnitude of the
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