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107 Automobile engines are rated by the torque that
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they produce Research and explain why torque is an important quantity to measure
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104 Analyze and Conclude A pivoted lamp pole is
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shown in Figure 8-31 The pole weighs 27 N, and the lamp weighs 64 N a What is the torque caused by each force b Determine the tension in the rope supporting the lamp pole
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108 Two blocks, one of mass 20 kg and the other of
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mass 30 kg, are tied together with a massless rope This rope is strung over a massless, resistance-free pulley The blocks are released from rest Find the following ( 4) a the tension in the rope b the acceleration of the blocks
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109 Eric sits on a see-saw At what angle, relative to
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1050 x
Axis of rotation
the vertical, will the component of his weight parallel to the plane be equal to one-third the perpendicular component of his weight ( 5)
033 m 044 m
110 The pilot of a plane wants to reach an airport
325 km due north in 275 hours A wind is blowing from the west at 300 km/h What heading and airspeed should be chosen to reach the destination on time ( 6)
Lamp
111 A 600-kg speed skater with a velocity of 180 m/s
comes into a curve of 200-m radius How much friction must be exerted between the skates and ice to negotiate the curve ( 6)
Figure 8-31
8 Rotational Motion For more problems, go to Additional Problems, Appendix B
Multiple Choice 1 The illustration below shows two boxes on opposite ends of a board that is 30 m long The board is supported in the middle by a fulcrum The box on the left has a mass, m1, of 25 kg, and the box on the right has a mass, m2, of 15 kg How far should the fulcrum be positioned from the left side of the board in order to balance the masses horizontally
038 m 060 m 11 m 19 m
5 A thin hoop with a mass of 50 kg rotates about a perpendicular axis through its center A force of 25 N is exerted tangentially to the hoop If the hoop s radius is 20 m, what is its angular acceleration 13 rad/s 25 rad/s 50 rad/s 63 rad/s
6 Two of the tires on a farmer s tractor have diameters of 15 m If the farmer drives the tractor at a linear velocity of 30 m/s, what is the angular velocity of each tire
20 rad/s 23 rad/s
40 rad/s 45 rad/s
2 A force of 60 N is exerted on one end of a 10-m-long lever The other end of the lever is attached to a rotating rod that is perpendicular to the lever By pushing down on the end of the lever, you can rotate the rod If the force on the lever is exerted at an angle of 30 , what torque is exerted on the lever (sin 30 05; cos 30 087; tan 30 058) 30 N 52 N 60 N 69 N
Extended Answer 7 You use a 25-cm long wrench to remove the lug nuts on a car wheel, as shown in the illustration below If you pull up on the end of the wrench with a force of 20 102 N at an angle of 30 , what is the torque on the wrench (sin 30 05, cos 30 087)
F 30
3 A child attempts to use a wrench to remove a nut on a bicycle Removing the nut requires a torque of 10 N m The maximum force the child is capable of exerting at a 90 angle is 50 N What is the length of the wrench the child must use to remove the nut 01 m 015 m 02 m 025 m
4 A car moves a distance of 420 m Each tire on the car has a diameter of 42 cm Which of the following shows how many revolutions each tire makes as they move that distance
50 101 10 102
When Eliminating, Cross It Out Consider each answer choice individually and cross out the ones you have eliminated If you cannot write in the test booklet, use the scratch paper to list and cross off the answer choices You will save time and stop yourself from choosing an answer you have mentally eliminated
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