Determine the moment vector M created at point O, and also the magnitude of vector (M).
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A tension force T of magnitude 10 kN is applied to the cable attached to the top A of the rigid mast and secured to the ground at point B. Determine the moment vector M created at point O, and also the magnitude of vector (M).
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- A uniform thin rod of mass m = 3.2 kg and length L = 1.5 m can rotate about an axle through its center. Four forces are acting on it as shown in the figure. Their magnitudes are F1 = 6.5 N, F2 = 2.5 N, F3 = 15 N and F4 = 15 N. F2 acts a distance d = 0.14 m from the center of mass. a. Calculate the magnitude τ4 of the torque due to force F4 in newton meters. b. Calculate the angular acceleration α of the thin rod about its center of mass in radians per square second. Let the counter-clockwise direction be positive.Consider a rotating disk of radius R that has the exotic property that it can change its massper unit area as a function of r. Initially, its mass per unit area is given by ar3, where a is aconstant. What is the moment of inertia of this disk expressed in terms of its mass, M andradius R.A 2.60-kg hoop 1.80 m in diameter is rolling to the right without slipping on a horizontal floor at a steady 2.70 rad/s . Find the magnitude of the velocity vector of each of the following points, as viewed by a person at rest on the ground: (i) the highest point on the hoop; (ii) the lowest point on the hoop, (iii) a point on the right side of the hoop, midway between the top and the bottom. Find the magnitude of the velocity vector for each of the points in part C, except as viewed by someone moving along with same velocity as the hoop.