PHYSICS: PRINCIPLES W/ APPLICATIONS
7th Edition
ISBN: 2818440071355
Author: GIANCOLI
Publisher: PEARSON
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Chapter 9, Problem 49P
To determine
Potential energy stored.
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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 9 Solutions
PHYSICS: PRINCIPLES W/ APPLICATIONS
Ch. 9 - Prob. 1OQCh. 9 - Describe several situations in which an object is...Ch. 9 - Prob. 2QCh. 9 - You can find the center of gravity of a meter...Ch. 9 - Prob. 4QCh. 9 - A ground retaining wall is shown in Fig. 9-36a...Ch. 9 - Can the sum of the torques on an object be zero...Ch. 9 - A ladder, leaning against a wall, makes a 60°...Ch. 9 - A uniform meter stick supported at the 25-cm mark...Ch. 9 - Why do you tend to lean backward when carrying a...
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17.
)
Is the Young's modulus for a bungee cord...Ch. 9 - Prob. 18QCh. 9 - Prob. 19QCh. 9 - A 60-kg woman stands on the very end of a uniform...Ch. 9 - Prob. 2MCQCh. 9 - Prob. 3MCQCh. 9 - Prob. 4MCQCh. 9 - Two children are balanced on opposite sides of a...Ch. 9 - Prob. 6MCQCh. 9 - Prob. 7MCQCh. 9 - Prob. 8MCQCh. 9 - Prob. 9MCQCh. 9 - Prob. 10MCQCh. 9 - Three forces are applied to a tree sapling, as...Ch. 9 - Prob. 2PCh. 9 - 3(I) A tower crane ( Fig. 9-48a) must always be...Ch. 9 - What is the mass of the diver in Fig. 9-49 if she...Ch. 9 - Prob. 5PCh. 9 - Figure 9-50 shows a pair of forceps used to hold a...Ch. 9 - Prob. 7PCh. 9 - The two trees in Fig. 9-51 are 6.6 m apart. A...Ch. 9 - Prob. 9PCh. 9 - Prob. 10PCh. 9 - Prob. 11PCh. 9 - Find the tension in the two cords shown in Fig....Ch. 9 - Prob. 13PCh. 9 - Prob. 14PCh. 9 - The force required to pull the cork out of the top...Ch. 9 - Prob. 16PCh. 9 - Three children are trying to balance on a seesaw,...Ch. 9 - A shop sign weighing 215 N hangs from the end of a...Ch. 9 - Prob. 19PCh. 9 - Prob. 20PCh. 9 - Prob. 21PCh. 9 - 22 (II) A 20.0-m-long uniform beam weighing 650 N...Ch. 9 - Prob. 23PCh. 9 - Prob. 24PCh. 9 - Prob. 25PCh. 9 - Prob. 26PCh. 9 - A uniform rod AB of length 5.0 m and mass M=3.S kg...Ch. 9 - You are on a pirate ship and being forced to walk...Ch. 9 - Prob. 29PCh. 9 - Prob. 30PCh. 9 - Prob. 31PCh. 9 - Prob. 32PCh. 9 - Prob. 33PCh. 9 - Prob. 34PCh. 9 - Prob. 35PCh. 9 - 36 (II) The Achilles tendon is attached to the...Ch. 9 - If 25 kg is the maximum mass m that a person can...Ch. 9 - Prob. 38PCh. 9 - Prob. 39PCh. 9 - Prob. 40PCh. 9 - A marble column of cross-sectional area 1.4 m2...Ch. 9 - Prob. 42PCh. 9 - A sign (mass 1700 kg) hangs from the bottom end of...Ch. 9 - Prob. 44PCh. 9 - Prob. 45PCh. 9 - Prob. 46PCh. 9 - A steel wire 2.3 mm in diameter stretches by...Ch. 9 - Prob. 48PCh. 9 - Prob. 49PCh. 9 - Prob. 50PCh. 9 - Prob. 51PCh. 9 - Prob. 52PCh. 9 - (a) What is the minimum cross-sectional area...Ch. 9 - Prob. 54PCh. 9 - Prob. 55PCh. 9 - Prob. 56PCh. 9 - Prob. 57PCh. 9 - Prob. 58GPCh. 9 - Prob. 59GPCh. 9 - Prob. 60GPCh. 9 - Prob. 61GPCh. 9 - Prob. 62GPCh. 9 - Prob. 63GPCh. 9 - Prob. 64GPCh. 9 - When a mass of 25 kg is hung from the middle of a...Ch. 9 - Prob. 66GPCh. 9 - Prob. 67GPCh. 9 - Prob. 68GPCh. 9 - Prob. 69GPCh. 9 - Prob. 70GPCh. 9 - Prob. 71GPCh. 9 - Prob. 72GPCh. 9 - Prob. 73GPCh. 9 - A 2.0-m-high box with a 1.0-m-square base is moved...Ch. 9 - Prob. 75GPCh. 9 - Prob. 76GPCh. 9 - Prob. 77GPCh. 9 - Prob. 78GPCh. 9 - In a mountain-climbing technique called the...Ch. 9 - Prob. 80GPCh. 9 - A cubic crate of side s=20m is top-heavy: its cgis...
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