To tighten a bolt, you push with a force of 85 N at the end of a wrench handle that is 0.35 m from the axis of the bolt. What torque are you exerting? If you move your hand inward to be only 0.10 m from the bolt, find the force that you should exert to achieve the same torque.
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- Which of the following statements are true? The magnitude of torque is the same for any axis of rotation you choose. The vector r points from the axis of rotation to the point where the force is applied. The lever arm is the distance between the point where a force is applied and the axis of rotation. Torque has units of N m. If vectors r and F are parallel, the torque is largest. If you point your fingers along the vector r and curl them in the direction of F, your thumb points in the direction of the torque.NO AI PLEASEA light triangular plate OAB is in a horizontal plane. Three forces, F₁ = 6.0 N, F₂ = 9.0 N, and F3 = 7.0 N, act on the plate, which is pivoted about a vertical axes through point O. In the figure, F2 is perpendicular to OB. Consider the counterclockwise sense as positive. The sum of the torques about the vertical axis through point O, acting on the plate due to forces F₁, F2, and F3, is closest to 0.60 m 45% 0 3 4.1 N. m. -5.4 N.m. 5.4 Nm. 30° -4.1 N.m. zero 1.00 m 0.80 m B 2
- In figure forces F1 and F2 have magnitudes 20N and 25N respectively and act on a disk nailed at point P as shown.a) What torque (magnitude and direction) does each of these forces exert on the disk about point P? b) What is the nettorque exerted?A wrench 0.7 meters long lies along the positive y-axis, and grips a bolt at the origin. A force is applied in the direction of (0, -2, -1) at the end of the wrench. Find the magnitude of the force in newtons needed to supply 100 newton-meters of torque to the bolt Force: n Berriam newtonsaxis is directed perpendicular to the plane of a square as shown in the figure. Two forces, F₁ and F2, are applied to diagonally opposite corners and act along the sides of the square, first as shown in part a and then as shown in part b of the figure. In each case the net torque produced by the forces is zero. The square is 1.00 m on a side, and the magnitude of F₂ is two times that of F₁. What are the distances a and b? F₁ t Axis F₂ O a=0.50 m, b = 0.50 m Oa=0.40 m, b = 0.50 m O a 0.20 m, b = 0.40 m a=0.40 m, b = 0.20 m a = 0.40 m, b = 0.40 m F₁ b (b) F₂
- A disc with a radius of 0.53 m is fixed to rotate about its center. Three forces act on the object as noted below. What magnitude net torque acts on the object? F1 = 14.7 N tangentially applied to the outer edge. F2 = 11.1 N tangentially applied to the outer edge. F3 = 11.5 N tangentially applied at a distance 0 m above the axis of rotation at an angle theta = 34.3 degrees with respect to the vertical. The location of F3 is at the center of the circle (a distance of 0 from the axis)The figure below shows an angler with a fishing rod that makes an angle of 20.0° above the horizontal. The distance from the angler's hand to the tip of the rod isL = 2.18 m. A fish is on the line, and it pulls the line with a force of F = 109 N at an angle 37.0° below the horizontal. What is the magnitude of the torque (in N· m) exerted by the fish about an axis perpendicular to the page and passing through the angler's hand? 20.0° 37.0° I 20.0° N. mSpark plugs should be tightened to a specified torque of 14.55Nm. You have a wrench that is 0.21 m long, but because of the tightness of the space you can't pull the wrench at a ninety degree angle. You must pull at an angle of 25.42 degrees, measured from the handle of the wrench. What force must you exert on the wrench?
- A fire truck ladder is 20 m long. The ladder has a weight of 5500 N and its center of gravity is located at its center. The ladder is pivoted at point A and is raised into position by a force applied at point C, which is located 8 m away from A. This force has magnitude 8000N and makes an angle of 40 degrees with the ladder. What is the magnitude of the net torque on the ladder about point A? (Hint: Originally, the ladder was resting on the support at point B. However, since the ladder is being raised, assume that point B no longer exerts any force on the ladder.) 12.0 m- 8.0 m 40° 5.9 kN.m 13.9 kN-m 96.1 kN·m 104 kN.m 2.8 kN·mThe ladder in the picture has a mass of 34 kilograms and a length 3.2 meters. Fn=333.2N a.Assume that the ladder's weight is evenly distributed, so it can be treated as a single force through the middle. If the ladder is at a 69° angle from the ground, what is the torque exerted by the weight (using the floor as the pivot point)? b.The torque from the ladder must be balanced by the torque caused by the normal force on the wall. Calculate this force. c.The normal force from the wall must be balanced by the friction force from the floor. Determine the minimum coefficient of friction to keep the ladder from slipping.A gardener is using a tool as shown in the figure to pull weeds. You will notice that the tool is designed with a built in pivot point about which the torques are applied. If the gardener applies a 3.04-N · m torque (about the pivot point) in order to pull a weed, determine the resistive force the weed exerts on the weed puller. N 24 cm 6.0 cm