1. A rod is fastened to a wall on the left by a frictionless pivot point as shown in the figure to the right. The rod has a length L%3D0.87 m. A force F = 32.0 N acts on the far end at an angle 0 = 27.0°. What is the magnitude and direction of the torque that results from this?
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- a) What is the mechanical advantage of a wheelbarrow, such as the one in Figure 9.24, if the center of gravity of the wheelbarrow and its load has a perpendicular lever arm of 5.50 cm, while the hands have a perpendicular lever arm of 1.02 m? (b) What upward force should you exert to support the wheelbarrow and its load if their combined mass is 55.0 kg? (c) What force does the wheel exert on the ground? Figure 9.24 (a) In the case of the wheelbarrow, the output force or load is between the pivot and the input force. The pivot IS the wheel's axle. Here, the output force is greater than the input force. Thus, a wheelbarrow enables you to lift much heavier loads than you could with your body alone. (b) In the case of the shovel, the input force is between the pivot and the load, but the input lever arm is shorter than the output lever arm. The pivot is at the handle held by the right hand. Here, the output force (supporting the shovel's load) is less than the input force (from the hand nearest the load), because the Input is exerted closer to the pivot than is the outputThe fishing pole in Figure P8.3 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 anglers hand if the fish pulls on the fishing line with a force F=1.00102N at an angle 37.0 below the horizontal? The force is applied at a point 2.00 m from the anglers hands. Figure P8.3The fishing pole in Figure P8.3 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 anglers hand if the fish pulls on the fishing line with a force F=1.00102N at an angle 37.0 below the horizontal? The force is applied at a point 2.00 m from the anglers hands. Figure P8.3
- A rigid vertical rod of mass 75 kg and length 4.0 m is connected to the floor by a bolt through its lower end A. The rod also has a wire connected between its top end B and the floor as shown in the figure. A horizontal force F = 500 N is applied at the midpoint of the rod. What is the tension in the wire?An object that weighs 1180 N rests on a lever at a point 0.390 m from a support. On the same side of the support, at a distance of 3.00 m from it, an upward force with magnitude F is applied. Ignore the weight of the board itself. If the system is in equilibrium, what is F? Express your answer in Newtons. where P = 1180 and x = 0.390. _____NA person carries a plank of wood 2.00 m long with one hand pushing down on it at one end with a force F 1 and the other hand holding it up at 38.0 cm from the end of the plank with force F 2. If the plank has a mass of 18.0 kg and its center of gravity is at the middle of the plank, what are the magnitudes of the forces F 1 and F 2? Part 1 What is the magnitude of F 1? Part 2 What is the magnitude of F 2?
- In the figure below, the uniform 0.60-kN beam is hinged at P. What is the tension in the tie rope? a. 66 N. b. 1 750 N. c. 1 780 N. d. 2 260 N. e. 2 280 N.A uniform rod of mass 500. g is used as a balance. We want to balance a 2.00-kg weight on the left end by a 750.g weight on the right end. (a) How far from the left end should the fulcrum be placed if the rod is 1.00 m long? (b) What is the normal force of the fulcrum on the rod?A beam resting on two pivots has a length of L = 6.00 m and mass M = 92.0 kg.The pivot under the left end exerts a normal force n1on the beam, and the second pivot placed a distance ℓ = 4.00 m from the left end exerts a normal force n2. A woman of mass m = 62.5 kg steps onto the left end of the beam and begins walking to the right as in the figure below. The goal is to find the woman's position when the beam begins to tip. (a) Where is the woman when the normal force n1 is the greatest? x = ____m(b) What is n1 when the beam is about to tip?____ N (c) Use the force equation of equilibrium to find the value of n2 when the beam is about to tip.____ N
- A uniform beam is 5.00 m long and has a mass of 53.0 kg. The beam is supported in a horizontal position by a hinge and a cable, with angle ? = 115°.(a) Draw all the forces acting on the beam.(b) What Newton’s Law will you use to solve this problem?(c) What is the tension ?? on the cable?(d) What are the magnitude of the vertical and horizontalforces acting on the hinge ???(e) What is the magnitude and direction of the torque ??exerted by the tension on the cable?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=2mShown is a lightweight plank supported at its right end by a 7.0-mm-diameter rope with a tensile strength of 6.0 x 107 N/m2.a. What is the maximum force that the rope can support?b. What is the greatest distance, measured from the pivot, that the center of gravity of an 800 kg piece of heavy machinery can be placed without snapping the rope?