As shown, a member is fixed at the origin, point O, and has an applied force F, the tension in the rope, applied at the free end, point B. (Figure 2) The force is given by F = 130 Ni - 125 Nj+70 N k. The dimensions are x₁ = 1.35 m, y₁ = 1.70 m, and 21 = 1.15 m. What is the moment about the origin due to the applied force F? Express the individual components of the Cartesian vector to three significant figures, separated by commas. ► View Available Hint(s) Mo =[ VE ΑΣΦ ↓↑ vec wwwwwwww.. ? i, j, k] N.m

The particle has a mass of 0.45 kg and is confined to move along the smooth vertical slot due to the rotation of the arm OA. The rod is Part A rotating with a constant angular velocity 0 = 2 rad/s. Assume the particle contacts only one side of the slot at any instant. (Figure 1) Determine the magnitude of the force of the rod on the particle when 0 = 30°. Express your answer to three significant figures and include the appropriate units. HA ? F = Value Units Figure 1 of 1 > Submit Request Answer Part B A Determine the magnitude of the normal force of the slot on the particle when 0 0°. Express your answer to three significant figures and include the appropriate units. HA ? e = 2 rad/s N = Value Units 0.5 m

The body in the figure is pivoted at O. Three forces act on it in the directions shown: FA = 12.0 N at point A, 7.70 m from O; FB = 15.0 N at point B, 2.60 m from O; and Fc = 25.0 N at point C, 3.50 m from O. Taking the clockwise direction to be negative, what is the net torque about O? Number i -56.26 Units 160° N•m 90°/ B 135%

could you explain why we choose dm=p(2pir)dr? circular disk or cyllinder has a volume so shouldn`t dm be p(2pir)dr * thickness ? ( i attached an expression). Why we choose a dm of a ring (without volume)?

An engineer estimates that under the most adverse expected weather conditions, the total force on the highway sign in the figure (Figure 1) will be F→=(±2.1i^−4.2j^)kN, acting at the cm. What is the magnitude of the torque this force exert about the base O? Express your answer using two significant figures.

The 0.61×1.00-m lid ABCD of a storage bin is hinged alongside AB and is held open by looping cord DEC over a frictionless hook at E. If the tension in the cord is 70 N, determine the moment about each of the coordinate axes of the force exerted by the cord at D.

ASAP

For F = 51 lb, compute the combined moment of the two forces about (a) point O, (b) point C, (c) point D. The moments are positive if counterclockwise, negative if clockwise.

Please don't provide handwritten solution.   Three identical full spheres of mass 3.1kg and Radius R=2.9m are welded together in such a way that the centres of each of them are at (R,0,0), (3R,0,0) and (5R,0,0). The whole system rotates in +XY plane about the axis parallel to z axis and passing through point (6R,0,0). Find the moment of inertia of the whole system. State your answer to the nearest tenth of kgm2.