Physics 10e Binder Ready Version+ WileyPLUS Registration Card
10th Edition
ISBN: 9781119030713
Author: John D. Cutnell, Kenneth W. Johnson
Publisher: Wiley (WileyPLUS Products)
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Chapter 9, Problem 66P
To determine
The angular velocity of the straight rod.
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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
Notation matters when working with vectors! In particular, it is important to
distinguish between the vector itself (A) and its magnitude (A).
Illustrate in four separate sketches that each of the following statements is
possible:
a) both R = A + B and R=A+B are correct
b) R = A + B is correct, but R=A+B is incorrect
c) R = A + B is incorrect, but R=A+B is correct
d) both R = A + B and R=A+B are incorrect
You know from your math courses that an infinitesimal segment of a
circular arc can be considered as a straight line segment. Imagine that you
cover a full circle in, say, the clockwise direction, with infinitesimal
displacement vectors dr. Then evaluate fdr and fdr (the circle symbol on
the integral just reminds us that we have to go around the full circle).
Chapter 9 Solutions
Physics 10e Binder Ready Version+ WileyPLUS Registration Card
Ch. 9.1 - 1. The drawing shows an overhead view of a...Ch. 9.1 - Prob. 2CYUCh. 9.1 - 3. Is it possible (a) for a large force to produce...Ch. 9.1 - Prob. 4CYUCh. 9.2 - Prob. 5CYUCh. 9.2 - Prob. 6CYUCh. 9.3 - 7. Starting in the spring, fruit begins to grow on...Ch. 9.3 - Prob. 8CYUCh. 9.4 - 10. Three massless rods (A, B. and C) are free to...Ch. 9 - Prob. 1FC
Ch. 9 - Prob. 3FCCh. 9 - Prob. 6FCCh. 9 - Prob. 8FCCh. 9 - Prob. 10FCCh. 9 - Prob. 12FCCh. 9 - Prob. 13FCCh. 9 - Prob. 16FCCh. 9 - Prob. 17FCCh. 9 - Prob. 18FCCh. 9 - Prob. 1PCh. 9 - Prob. 2PCh. 9 - Prob. 3PCh. 9 - Prob. 4PCh. 9 - Prob. 5PCh. 9 - Prob. 6PCh. 9 - Prob. 7PCh. 9 - Prob. 8PCh. 9 - Prob. 9PCh. 9 - **10. A rotational axis is directed perpendicular...Ch. 9 - Prob. 11PCh. 9 - 12. The drawing shows a person (weight, W = 584 N)...Ch. 9 - Prob. 13PCh. 9 - Prob. 14PCh. 9 - Prob. 15PCh. 9 - Prob. 16PCh. 9 - 17. Review Multiple-Concept Example 8 before...Ch. 9 - Prob. 18PCh. 9 - 19. Review Conceptual Example 7 as background...Ch. 9 - 20. See Example 4 for data pertinent to this...Ch. 9 - Prob. 21PCh. 9 - 22. A man holds a 178-N ball in his hand, with the...Ch. 9 - Prob. 23PCh. 9 - Prob. 24PCh. 9 - *25. A 1220-N uniform beam is attached to a...Ch. 9 - *26. A person is sitting with one leg outstretched...Ch. 9 - Prob. 27PCh. 9 - **28. A man drags a 72-kg crate across the floor...Ch. 9 - Prob. 29PCh. 9 - Prob. 30PCh. 9 - Prob. 31PCh. 9 - 32. A clay vase on a potter’s wheel experiences an...Ch. 9 - Prob. 33PCh. 9 - Prob. 34PCh. 9 - Prob. 35PCh. 9 - Prob. 36PCh. 9 - Prob. 37PCh. 9 - Prob. 38PCh. 9 - Prob. 39PCh. 9 - Prob. 40PCh. 9 - Prob. 41PCh. 9 - *42. A 15.0-m length of hose is wound around a...Ch. 9 - Prob. 43PCh. 9 - Prob. 44PCh. 9 - *45. A stationary bicycle is raised off the...Ch. 9 - Prob. 46PCh. 9 - Prob. 47PCh. 9 - Prob. 48PCh. 9 - Prob. 49PCh. 9 - Prob. 50PCh. 9 - Prob. 51PCh. 9 - Prob. 52PCh. 9 - Prob. 53PCh. 9 - Prob. 54PCh. 9 - Prob. 55PCh. 9 - Prob. 56PCh. 9 - Prob. 57PCh. 9 - Prob. 58PCh. 9 - Prob. 59PCh. 9 - Prob. 60PCh. 9 - Prob. 61PCh. 9 - Prob. 62PCh. 9 - Prob. 63PCh. 9 - Prob. 64PCh. 9 - Prob. 65PCh. 9 - Prob. 66PCh. 9 - Prob. 67PCh. 9 - Prob. 68PCh. 9 - Prob. 69APCh. 9 - Prob. 70APCh. 9 - Prob. 71APCh. 9 - Prob. 72APCh. 9 - 73. A rotating door is made from four rectangular...Ch. 9 - Prob. 74APCh. 9 - Prob. 75APCh. 9 - Prob. 76APCh. 9 - Prob. 77AP
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