
Physics for Scientists & Engineers, Volume 2 (Chapters 21-35)
5th Edition
ISBN: 9780134378046
Author: GIANCOLI, Douglas
Publisher: PEARSON
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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 4 Solutions
Physics for Scientists & Engineers, Volume 2 (Chapters 21-35)
Ch. 4.4 - Suppose you watch a cup slide on the (smooth)...Ch. 4.5 - Prob. 1BECh. 4.5 - If you push on a heavy desk, does it always push...Ch. 4.5 - Return to the first Chapter-Opening Question, page...Ch. 4.7 - Prob. 1FECh. 4.7 - Prob. 1GECh. 4.7 - Prob. 1HECh. 4 - Why does a child in a wagon seem to fall backward...Ch. 4 - If an object is moving, is it possible for the net...Ch. 4 - If the acceleration of an object is zero, are no...
Ch. 4 - Only one force acts on an object. Can the object...Ch. 4 - When a golf ball is dropped to the pavement, it...Ch. 4 - If you walk along a log floating on a lake, why...Ch. 4 - (a) Why do you push down harder on the pedals of a...Ch. 4 - Prob. 9QCh. 4 - The force of gravity on a 2-kg rock is twice as...Ch. 4 - Prob. 11QCh. 4 - When an object falls freely under the influence of...Ch. 4 - Compare the effort (or force) needed to lift a...Ch. 4 - When you stand still on the ground, how large a...Ch. 4 - Whiplash sometimes results from an automobile...Ch. 4 - Mary exerts an upward force of 40N to hold a bag...Ch. 4 - A father and his young daughter are ice skating....Ch. 4 - Prob. 19QCh. 4 - Which of the following objects weighs about 1 N:...Ch. 4 - Why might your foot hurt if you kick a heavy desk...Ch. 4 - When you are running and want to slop quickly, you...Ch. 4 - Suppose that you are standing on a cardboard...Ch. 4 - Prob. 2MCQCh. 4 - Prob. 3MCQCh. 4 - Prob. 4MCQCh. 4 - Prob. 5MCQCh. 4 - Prob. 7MCQCh. 4 - Prob. 9MCQCh. 4 - Prob. 10MCQCh. 4 - Prob. 11MCQCh. 4 - Prob. 12MCQCh. 4 - Prob. 13MCQCh. 4 - Prob. 1PCh. 4 - Prob. 2PCh. 4 - Prob. 3PCh. 4 - Prob. 4PCh. 4 - Prob. 5PCh. 4 - Prob. 6PCh. 4 - (II) Superman must stop a 120-km/h train in 150 m...Ch. 4 - Prob. 8PCh. 4 - Prob. 9PCh. 4 - Prob. 10PCh. 4 - (II) A fisherman yanks a fish vertically out of...Ch. 4 - Prob. 12PCh. 4 - (II) A 20.0-kg box rests on a table. (a) What is...Ch. 4 - (II) A particular race car can cover a...Ch. 4 - Prob. 15PCh. 4 - Prob. 16PCh. 4 - Prob. 17PCh. 4 - (II) Can cars stop on a dime? Calculate the...Ch. 4 - Prob. 19PCh. 4 - (II) Using focused laser light, optical tweezers...Ch. 4 - Prob. 21PCh. 4 - Prob. 22PCh. 4 - Prob. 23PCh. 4 - (II) An exceptional standing jump would raise a...Ch. 4 - (II) High-speed elevators function under two...Ch. 4 - Prob. 26PCh. 4 - Prob. 27PCh. 4 - Prob. 28PCh. 4 - (I) Draw the free-body diagram for a basketball...Ch. 4 - (I) A 650-N force acts in a northwesterly...Ch. 4 - (I) Sketch the tree body diagram of a baseball (a)...Ch. 4 - Prob. 32PCh. 4 - Prob. 33PCh. 4 - Prob. 34PCh. 4 - (II) The cords accelerating the buckets in Problem...Ch. 4 - Prob. 36PCh. 4 - (II) A train locomotive is pulling two cars of the...Ch. 4 - Prob. 38PCh. 4 - (II) A skateboarder, with an initial speed of...Ch. 4 - (II) At the instant a race began, a 65-kg sprinter...Ch. 4 - (II) A mass m is at rest on a horizontal...Ch. 4 - Prob. 42PCh. 4 - (II) A 27-kg chandelier hangs from a ceiling on a...Ch. 4 - (II) Redo Example 413 but (a) set up the equations...Ch. 4 - (II) The block shown in Fig. 4-43 has mass m = 7.0...Ch. 4 - Prob. 46PCh. 4 - Prob. 47PCh. 4 - Prob. 48PCh. 4 - Prob. 49PCh. 4 - (II) As shown in Fig. 4-41, five balls (masses...Ch. 4 - A super high-speed 14-car Italian train has a mass...Ch. 4 - Prob. 52PCh. 4 - Prob. 53PCh. 4 - (II) A child on a sled reaches the bottom of a...Ch. 4 - Prob. 55PCh. 4 - Prob. 56PCh. 4 - (III) Determine a formula for the acceleration of...Ch. 4 - (III) Suppose the pulley in Fig. 446 is suspended...Ch. 4 - Prob. 59PCh. 4 - (II) Three blocks on a frictionless horizontal...Ch. 4 - Prob. 61PCh. 4 - (III) A small block of mass m rests on the sloping...Ch. 4 - (III) The double Atwood machine shown in Fig. 4-48...Ch. 4 - (III) Determine a formula for the magnitude of the...Ch. 4 - Prob. 65PCh. 4 - Prob. 66PCh. 4 - Prob. 67GPCh. 4 - Prob. 69GPCh. 4 - Prob. 70GPCh. 4 - Prob. 71GPCh. 4 - Prob. 72GPCh. 4 - Prob. 73GPCh. 4 - Prob. 74GPCh. 4 - Prob. 75GPCh. 4 - A block (mass mA) lying on a fixed frictionless...Ch. 4 - Prob. 77GPCh. 4 - Prob. 78GPCh. 4 - (a) What minimum force F is needed to lift the...Ch. 4 - Prob. 80GPCh. 4 - A jet aircraft is accelerating at 3.8m/s2 as it...Ch. 4 - Prob. 82GPCh. 4 - Prob. 83GPCh. 4 - A fisherman in a boat is using a 10-lb test...Ch. 4 - Prob. 85GPCh. 4 - Prob. 86GPCh. 4 - Prob. 87GPCh. 4 - Prob. 88GPCh. 4 - Prob. 90GPCh. 4 - Prob. 91GPCh. 4 - Prob. 92GPCh. 4 - Prob. 93GPCh. 4 - Prob. 94GP
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