You are installing a new spark plug in your car, and the manual specifies that it be tightened to a torque that has a magnitude of 45 N· m. Using the data in the drawing, determine the magnitude F of the force that you must exert on the wrench. 0.28 m 50.0°
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- A 40-N weight hangs from a (massless inelastic) cord that runs around the outside of a pulley. The pulley is a uniform solid disk of radius 12.8 cm and mass 6.5 kg. You may assume the system is released from rest. Determine the angular acceleration of the pulley. Express your answer in rad/s², to at least one digit after the decimal point. 40 Na.) A tension force, T, of magnitude 5.0 N is applied to the end of a bar at a distance r = 1.5 m from the axis of rotation O (represented by the black dot). The angle between the force and the distance vector, θ=25o. Calculate the magnitude and direction of the torque vector. b.) In the previous problem, let’s make some changes. The bar is now a different length and reoriented within 3-D space such that the r is a vector that has components (3,2,0) in the xyz coordinate frame, and F is a vector with components (4,5,0). What is the torque exerted on the rigid body about a pivot located at the origin? Express your answer in i, j, k, components. Assume all distances are represented in meters and forces in newtons.Please help me understand the concepts to work this practice problem out.
- 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) Calculate the magnitude of the torque, in newton meters, when the components of the position and force vectors have the values rx = 3.71 m, ry = 0.075 m, rz = 0.085 m, Fx = 1.2 N, Fy = -7.6 N, Fz = 1.2 N. Part b) If the moment of inertia of the beam with respect to the pivot is I = 72 kg˙m^2, calculate the magnitude of the angular acceleration of the beam about the pivot, in radians per second squared.A pulley is bolted to a wall as shown. The pulley is a flat disk of mass mp, radius R and moment of inertia I = mpR². A mass MH hangs from it by a rope that is wound about the pulley and does not slip. a. Give an appropriate force diagram for each of the two masses. b. Write ALL equations necessary to solve for the linear acceleration of MH. B мнYou are installing a new spark plug in your car, and the manual specifies that it be tightened to a torque that has a magnitude of 14 N·m. Using the data in the figure, determine the magnitude F of the force that you must exert on the wrench.
- In the figure, what magnitude of force F applied horizontally at the axle of the wheel is necessary to raise the wheel over an obstacle of height h = 0.356 m? The wheel's radius is r = 0.662 m and its mass is m = 1.71 kg. FYou are installing a new spark plug in your car, and the manual specifies that it be tightened to a torque that has a magnitude of 55N·m. Using the data in the figure, determine the magnitude F of the force that you must exert on the wrench.The body in the figure is pivoted at O, and two forces act on it as shown. If r₁ = 2.15 m, r2 = 3.74 m, F₁ = 3.80 N, F₂ = 3.37 N, 0₁ = 65.0°, and 02 = 59.0%, what is the net torque about the pivot? Number i Units
- A rotating door is made from four rectangular glass panes, as shown in the figure. The mass of each pane is 93.5 kg. A person pushes on the outer edge of one pane with a force of F = 88.2 N that is directed perpendicular to the pane. Determine the magnitude of the door's angular acceleration. Number i Units 1.2 m > 1.2 mThe fishing pole in the figure below makes an angle of 20.0° with the horizontal. What is the magnitude of the torque exerted by the fish about an axis perpendicular to the page and passing through the angler's hand if the fish pulls on the fishing line with a force F = 125 N at an angle 37.0° below the horizontal? The force is applied at a point L = 1.86 m from the angler's hands. N⚫m ·L. 20.0° -1 20.0° 37.0° Additional Materials i