Conceptual Physics (12th Edition)
12th Edition
ISBN: 9780321909107
Author: Paul G. Hewitt
Publisher: PEARSON
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Chapter 8, Problem 82RCQ
To determine
If the
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Students have asked these similar questions
Draw a right-handed 3D Cartesian coordinate system (= x, y and z axes). Show a vector A with
tail in the origin and sticking out in the positive x, y and z directions. Show the angles between A
and the positive x, y and z axes, and call these angles α₁, α₂ and α3
Prove that Ax Acos α₁
Ay
= Acos α₂
A₂- Acos α3
solve for Vo
Draw a third quadrant vector C. (remember that boldface characters represent vector
quantities). Show the standard angle 0 for this vector (= angle that C makes with the positive x-
axis). Also show the angle that C makes with the negative y-axis: call the latter angle 8. Finally,
show the smallest angles that C makes with the positive x-axis and the positive y-axis: call these
angles p1 and p2, repectively.
a) Prove the following formulas for the components of C involving the standard angle (hint:
start with the formulas for the components based on the angle & and then use (look up if
necessary) co-function identities linking cosine and sine of 8 to sine and cosine of 0 since 8 =
3π/2-8 (this will switch cosine and sine around and eliminate - signs as well))
-
C=Ccose
C₁=Csine
b) Prove the following formulas for the components of C:
C=Ccosp1
C=Ccosp2
Chapter 8 Solutions
Conceptual Physics (12th Edition)
Ch. 8 - What are the units of measurement for tangential...Ch. 8 - On a rotating turntable, does tangential speed or...Ch. 8 - A tapered cup rolled on a flat surface makes a...Ch. 8 - How does the tapered rim of a wheel on a railroad...Ch. 8 - 5. What is rotational inertia, and how is it...Ch. 8 - 6. Inertia depends on mass; rotational inertia...Ch. 8 - 7. As distance increases between most of the mass...Ch. 8 - 8. Consider three axes of rotation for a pencil:...Ch. 8 - 9. Which is easier to get swinging: a baseball bat...Ch. 8 - Why does bending your legs when running enable you...
Ch. 8 - 11. Which will have the greater acceleration...Ch. 8 - 12. What does a torque tend to do to an object?
Ch. 8 - 13. What is meant by the “lever arm” of a...Ch. 8 - 14. How do clockwise and counterclockwise torques...Ch. 8 - 15. If you toss a stick into the air, it appears...Ch. 8 - Prob. 16RCQCh. 8 - 17. If you hang at rest by your hands from a...Ch. 8 - Where is the center of mass of a hollow soccer...Ch. 8 - 19. What is the relationship between the center of...Ch. 8 - 20. Why doesn’t the Leaning Tower of Pisa topple...Ch. 8 - 21. In terms of center of gravity, support base,...Ch. 8 - 22.When you whirl a can at the end of a string in...Ch. 8 - 23. Is it an inward force or an outward force that...Ch. 8 - 24. If the string that holds a whirling can in its...Ch. 8 - 25. If you are not wearing a seat belt in a car...Ch. 8 - 26. Why is centrifugal force in a rotating frame...Ch. 8 - 27. How can gravity be simulated in an orbiting...Ch. 8 - 28. Distinguish between linear momentum and...Ch. 8 - 29. What is the law of inertia for rotating...Ch. 8 - If a skater who is spinning pulls her arms in so...Ch. 8 - Contact Grandpa and tell him how you’re learning...Ch. 8 - Prob. 32RCQCh. 8 - Prob. 33RCQCh. 8 - Prob. 34RCQCh. 8 - Prob. 35RCQCh. 8 - Prob. 36RCQCh. 8 - Prob. 37RCQCh. 8 - Torque = lever arm ×...Ch. 8 - 39. Calculate the torque produced by the same 50-N...Ch. 8 - Prob. 40RCQCh. 8 - 41. Calculate the force of friction that keeps an...Ch. 8 - Angular momentum =...Ch. 8 - 43. If a persons speed doubles and all else...Ch. 8 - 44. The diameter of the base of a tapered...Ch. 8 - To tighten a bolt, you push with a force of 80 N...Ch. 8 - 46. The rock and meterstick balance at the 25-cm...Ch. 8 - In one of the photos at the beginning of this...Ch. 8 - 48. An ice puck of mass m revolves on an icy...Ch. 8 - 49. If a trapeze artist rotates once each second...Ch. 8 - A small space telescope at the end of a tether...Ch. 8 - 51. The three cups are rolled on a level surface....Ch. 8 - 52. Three types of rollers are placed on slightly...Ch. 8 - 53. Beginning from a rest position, a solid disk...Ch. 8 - 54. You hold a meterstick at one end with the same...Ch. 8 - 55. Three physics majors in good physical shape...Ch. 8 - Prob. 56RCQCh. 8 - Prob. 57RCQCh. 8 - Prob. 58RCQCh. 8 - 59. The wheels of railroad trains are tapered, a...Ch. 8 - Prob. 60RCQCh. 8 - 61. The front wheels of a racing vehicle are...Ch. 8 - 62. Which will have the greater acceleration...Ch. 8 - Prob. 63RCQCh. 8 - 64. Is the net torque changed when a partner on a...Ch. 8 - Prob. 65RCQCh. 8 - 66. When you pedal a bicycle, maximum torque is...Ch. 8 - Prob. 67RCQCh. 8 - Prob. 68RCQCh. 8 - Prob. 69RCQCh. 8 - Prob. 70RCQCh. 8 - 71. Explain why a long pole is more beneficial to...Ch. 8 - Prob. 72RCQCh. 8 - Prob. 73RCQCh. 8 - Prob. 74RCQCh. 8 - Prob. 75RCQCh. 8 - Prob. 76RCQCh. 8 - Prob. 77RCQCh. 8 - Prob. 78RCQCh. 8 - 79. The centers of gravity of the three trucks...Ch. 8 - Prob. 80RCQCh. 8 - Prob. 81RCQCh. 8 - Prob. 82RCQCh. 8 - 83. When you are in the front passenger seat of a...Ch. 8 - Prob. 84RCQCh. 8 - Prob. 85RCQCh. 8 - Prob. 86RCQCh. 8 - 87. The occupant inside a rotating space habitat...Ch. 8 - Prob. 88RCQCh. 8 - A motorcyclist is able to ride on the vertical...Ch. 8 - 90. The sketch shows a conical pendulum. The bob...Ch. 8 - Prob. 91RCQCh. 8 - Prob. 92RCQCh. 8 - Prob. 93RCQCh. 8 - 94. If all of Earth’s inhabitants moved to the...Ch. 8 - Prob. 95RCQCh. 8 - If the world’s populations moved to the North Pole...Ch. 8 - Prob. 97RCQCh. 8 - 98. Why does a typical small helicopter with a...Ch. 8 - 99. We believe that our galaxy was formed from a...Ch. 8 - Prob. 100RCQCh. 8 - Prob. 101RCQCh. 8 - Prob. 102RCQCh. 8 - Prob. 103RCQCh. 8 - 104.When a car drives off a cliff it rotates...Ch. 8 - 105. Discuss why a car noses up when accelerating...Ch. 8 - 106. Discuss how a ramp would help you to...Ch. 8 - 107. Which will roll down an incline faster: a can...Ch. 8 - 108. Why are lightweight tires preferred in...Ch. 8 - 109. A youngster who has entered a soapbox derby...Ch. 8 - 110. The spool is pulled in three ways, as shown....Ch. 8 - 111. Nobody at the playground wants to play with...Ch. 8 - 112. How can the three bricks be stacked so that...Ch. 8 - 113. A long track balanced like a seesaw supports...Ch. 8 - With respect to Diana’s finger, where is the...Ch. 8 - When a long-range cannonball is fired toward the...Ch. 8 - Most often we say that force causes acceleration....
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