9. A rod of mass m is on a point support. The distance from theis point to one of the rod's ends is 1/4 of the rod length. A vertical thread is to the second end (see figure). The thread tension. a) 4). b) 2). mg/2| c) 3). mg/3 d) 1). mg/4
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- What three factors affect the torque created by a force relative to a specific pivot point?In Figure 9.21, the cg of the pole held by the pole vaulter is 2.00 m from the left hand, and the hands are 0.700 m apart. Calculate the force exerted by (a) his right hand and (b) his left hand. (c) If each hand supports half the weight of the pole in Figure 9.19, show that the second condition for equilibrium (net =0 ) is satisfied for a pivot other than the one located at the center of gravity of the pole. Explicitly show how you follow the steps in the Problem-Solving Strategy for static equilibrium described above. Figure 9.21 A pole vaulter is holding a pole horizontally with both hands. The center of gravity is to the left side of the vaulter.What is the mechanical advantage of a nail puller similar to the one shown in Figure 9.23 —where you exert a force 45 cm from the pivot and the nail is 1.8 cm on the other side? What minimum force must you exert to apply a force of 1250 N to the nail? Figure 9.23 A nail puller is a lever with a large mechanical advantage. The external forces on the nail puller are represented by solid arrows. The force that the nail puller applies to the nail ( Fo ) is not a force on the nail puller. The reaction force the nail exerts back on the puller ( Fn ) is an external force and is equal and opposite to Fo. The perpendicular lever arms of the input and output forces are li and l0
- 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 outputExplain the need for tall towers on a suspension bridge to ensure stable equilibrium.Suppose a 900-kg car is on the bridge in Figure 9.34 with its center of mass halfway between the hinges and the cable attachments. (The bridge is supported by the cables and hinges only.) (a) Find the force in the cables. (b) Find the direction and magnitude of the force exerted by the hinges on the bridge.
- An old carpenter's trick to keep nails from bending when they are pounded into hard materials is to grip the center of the nail firmly with pliers, Why does this help?Two children of mass 20.0 kg and 30.0 kg sit balanced on a seesaw with the pivot point located at the center of the seesaw. If the children are separated by a distance of 3.00 m, at what distance from the pivot point is the small child sitting in order to maintain the balance?Suppose the weight of the drawbridge in Figure 9.34 is supported entirely by its hinges and the opposite shore, so that its cables are slack. (a) What fraction of the weight is supported by the opposite shore if the point of support is directly beneath the cable attachments? (b) What is the direction and magnitude of the force the hinges exert on the bridge under these circumstances? The mass of the bridge is 2500 kg.
- An 80 kgkg construction worker sits down 2.0 mm from the end of a 1450 kgkg steel beam to eat his lunch, as shown in: 1) Determine the tension in the cable under this scenario. 2) Given that the cable supporting the beam is rated at 1.5×104 N , should the worker be worried? yes/noOne end of a uniform beam that weighs 3.50 ✕ 102 N is attached to a wall with a hinge pin. The other end is supported by a cable making the angles shown in the figure below. Find the tension in the cable. (Assume ?1 = 20° and ?2 = 37°.) Note: The answer is 244 N but I have no idea how to get there. Any help would be appreciated. Thanks.A uniform beam of length L = 1.5 m with a mass of 11 kg is attached to a wall by a cable as shown in the figure. The board is free to pivot at the point where it attached to the wall. What is the tension in the cable? The angle = 26°