What is the magnitude of the torque T on the pole, about point A, due to the tension in the rope? Express your answer in terms of T, L, and 0.
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- A uniform metal bar of length L and mass M is mounted to an axle that passes through its center of mass as indicated in the figure. The bar is oriented at an angle of 30 degrees to the dotted line as indicated in the figure. A force of magnitude F and pointed to the right is applied to one end of the bar. What is the torque about the axle that is being applied to the bar by the force F? 30° F L Hint: think carefully about angles. O FL O FL OLInstead of a Tug-of-War competition, two teams are having a "Torque-of-War". Team A is pulling on their rope with a force of 255N at a radius of 0.90m, and Team B is pulling with a force of 180N at a radius of 1.25m. (a) Which team is winning, and what is the net torque on the cylinder? Team A winning (b) The rotational inertia of the cylinder is 34kg*m^(2).A person exerts a horizontal force of 42 N on the end of a door 96 cm wide. What is the magnitude of the torque of the force is exerted (a) perpendicular to the door and (b) at a 60.0 degrees angle to the face of the door?
- In the following mechanism, T1 torque and F1 force act on the AB link. Equilibrium conditionSCD according to the superposition principle, the magnitude of torque required to be applied to the CB.obtain by making drawings? (F1 is vertical from mid point of ABIt is applied directly) O=40⁰, CB=3m, AB=2mssa In unit-vector notation, what is the torque about the origin on a particle located at coordinates (0, -4.30 m, 3.14 m) due to (a) force F with components Fx= 3.18 N and F1y= F1z= 0, and (b) force F 2 with components F2x = 0, F2y = 4.53 N, F22 = 5.74 N? (a) Number i k Units (b) Number i k Units eTextbook and Media Save for Later Attempts: 0 of 8 used Submit Answer Qu Friday tv DII 80 888 esc FB F9 F4 F5 F6 F7 F2 F3The force F = i − 2j − 2k acts at the point (0, 1, 2). Find the torque of F about the line r = (2i − j)t.
- Fy Ex The plant in the picture has mass of 30 kg, and is hanging at a distance of 1.8 meters from the wall. The horizontal rod has mass of 7.8 kg. Assume that its weight is evenly distributed, therefore it can be treated as a single force at the center of mass. The rod is 2 meters long, and there is a cable at a 38° angle supporting it at the end. Using the wall as the axis of rotation, find the magnitude of the downward torque, from both the weight of the rod and the weight of the plant.A force of 3N is applied in the positive y direction and 5.5N in the negative z direction in a situation with a lever arm of 2.7m in the -x direction. What is the magnitude of the torque?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.
- Consider a bar, of length 5.5 m, shown in the figure, being acted on by three forces. The magnitudes of the first two forces are 23 N and 28 N, and the first force is acting on the end of the bar at an angle of 54° as shown. a)What is the torque, in newton-meters, due to F1 on this bar relative to the left end? Use a coordinate system with positive directed out of the screen. b)What is the torque, in newton-meters, due to F2 on this bar relative to the left end, if this force is acting at the midpoint of the bar? Use a coordinate system with positive directed out of the screen. c)What is the magnitude of the force F3, in newtons, if the force is a distance 0.65 m from the left end and the bar is not rotating?A bar of length 3.00 m is hinged at one end and experiences a force of 8.00 N at the other end. The torque applied is 10.0N⋅m. What must be the angle between the line of force and the extended line of the bar ϕ?For two existing torques, what third force at a given distance from the pivot will balance them? Imagine a meter stick set up as in the figure. It hangs from a central bracket, and two hanging masses can hang from it from each of their brackets. At a third location, a force probe can either pull up or pull down on the stick, depending on what is needed to balance the stick. The mass of the meter stick is 120 g. sketch the situation (drawing r1, r2, r3, F1, F2, and F3) and determine the magnitude (value) and direction (+ or -) of each torque. Don't include the mass of a bracket that would hold the hanging mass in place; assume the mass listed is the entire mass hanging at that point. For each trial, use the principle of equilibrium (where the sum of torques is zero) to calculate the third, unknown force acting at x3