Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN: 9781133939146
Author: Katz, Debora M.
Publisher: Cengage Learning
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Chapter 14, Problem 15PQ
To determine
The cross product in component form, and the magnitude of the result.
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The grid runs from -5 to 5 on both axes. Drawn on this grid are four vectors, labeled A→ through D→. This problem will ask you various questions about these vectors. All answers should be in decimal notation, unless otherwise specified.
What is the y component of A→?
The grid runs from -5 to 5 on both axes. Drawn on this grid are four vectors, labeled A→ through D→. This problem will ask you various questions about these vectors. All answers should be in decimal notation, unless otherwise specified.
What is the x component of A→?
à ở từ if a = 2.8i+ 5.7 j – 8.1k,
=
b = − 4.9î + 4.4ĵ + 3.8k, and
What are (a) the x component, (b) the y component, and (c) the z component of 7
1.8î + 2.8ĵ + 4.6k . (d) Calculate the angle between and the positive z axis. (e) What is
the component of a along the direction of b? (f) What is the magnitude of the component of a perpendicular to the direction of b
but in the plane of a and b?
=
Chapter 14 Solutions
Physics for Scientists and Engineers: Foundations and Connections
Ch. 14.1 - A rubber duck floats in a bathtub. Imagine moving...Ch. 14.1 - Prob. 14.2CECh. 14.2 - CASE STUDY Hanging a Plane from a Single Point In...Ch. 14.2 - Prob. 14.4CECh. 14.4 - Imagine two vertical rods initially of equal...Ch. 14 - What Is Static Equilibrium? Problems 13 are...Ch. 14 - Prob. 2PQCh. 14 - Two identical balls are attached to a...Ch. 14 - While working on homework together, your friend...Ch. 14 - Consider the sketch of a portion of a...
Ch. 14 - Prob. 6PQCh. 14 - Prob. 7PQCh. 14 - Prob. 8PQCh. 14 - The keystone of an arch is the stone at the top...Ch. 14 - Prob. 10PQCh. 14 - Stand straight and comfortably with your feet...Ch. 14 - Prob. 12PQCh. 14 - Prob. 13PQCh. 14 - Prob. 14PQCh. 14 - Prob. 15PQCh. 14 - Prob. 16PQCh. 14 - Prob. 17PQCh. 14 - Prob. 18PQCh. 14 - Prob. 19PQCh. 14 - Prob. 20PQCh. 14 - Prob. 21PQCh. 14 - The inner planets of our solar system are...Ch. 14 - Two Boy Scouts, Bobby and Jimmy, are carrying a...Ch. 14 - Prob. 24PQCh. 14 - A painter of mass 87.8 kg is 1.45 m from the top...Ch. 14 - Consider the situation in Problem 25. Tests have...Ch. 14 - Children playing pirates have suspended a uniform...Ch. 14 - Prob. 28PQCh. 14 - Prob. 29PQCh. 14 - A 5.45-N beam of uniform density is 1.60 m long....Ch. 14 - A wooden door 2.1 m high and 0.90 m wide is hung...Ch. 14 - A 215-kg robotic arm at an assembly plant is...Ch. 14 - Problems 33 and 34 are paired. One end of a...Ch. 14 - For the uniform beam in Problem 33, find the...Ch. 14 - Prob. 35PQCh. 14 - A square plate with sides of length 4.0 m can...Ch. 14 - Prob. 37PQCh. 14 - At a museum, a 1300-kg model aircraft is hung from...Ch. 14 - A uniform wire (Y = 2.0 1011 N/m2) is subjected...Ch. 14 - A brass wire and a steel wire, both of the same...Ch. 14 - In Example 14.3, we found that one of the steel...Ch. 14 - A carbon nanotube is a nanometer-scale cylindrical...Ch. 14 - A nanotube with a Youngs modulus of 1.000 1012 Pa...Ch. 14 - Consider a nanotube with a Youngs modulus of 2.130...Ch. 14 - Prob. 45PQCh. 14 - Use the graph in Figure P14.46 to list the three...Ch. 14 - Prob. 47PQCh. 14 - A company is testing a new material made of...Ch. 14 - Prob. 49PQCh. 14 - Prob. 50PQCh. 14 - Prob. 51PQCh. 14 - Prob. 52PQCh. 14 - Prob. 53PQCh. 14 - Prob. 54PQCh. 14 - Prob. 55PQCh. 14 - Prob. 56PQCh. 14 - A copper rod with length 1.4 m and cross-sectional...Ch. 14 - Prob. 58PQCh. 14 - Prob. 59PQCh. 14 - Bruce Lee was famous for breaking concrete blocks...Ch. 14 - Prob. 61PQCh. 14 - Prob. 62PQCh. 14 - Prob. 63PQCh. 14 - A One end of a metal rod of weight Fg and length L...Ch. 14 - Prob. 65PQCh. 14 - A steel cable 2.00 m in length and with...Ch. 14 - Prob. 67PQCh. 14 - Prob. 68PQCh. 14 - Prob. 69PQCh. 14 - Prob. 70PQCh. 14 - Prob. 71PQCh. 14 - Prob. 72PQCh. 14 - Prob. 73PQCh. 14 - We know from studying friction forces that static...Ch. 14 - Ruby, with mass 55.0 kg, is trying to reach a box...Ch. 14 - An object is being weighed using an unequal-arm...Ch. 14 - Prob. 77PQCh. 14 - A massless, horizontal beam of length L and a...Ch. 14 - A rod of length 4.00 m with negligible mass is...Ch. 14 - A rod of length 4.00 m with negligible mass is...Ch. 14 - A horizontal, rigid bar of negligible weight is...Ch. 14 - Prob. 82PQCh. 14 - Prob. 83PQCh. 14 - Prob. 84PQCh. 14 - Prob. 85PQ
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- P6arrow_forwardFor the pair of vectors A = (6.00î + 4.00ĵ) and B = (9.0oî – 6.00ĵ) in the xy plane, determine the following. (Enter all angle answers between 0 and 180°.) %3D (a) The scalar product A: B = (b) The angle 0 between the vectors (c) The angles a and ß which are respectively the (smallest) angles between the vector A and the positive x and positive y axes a = %D (d) The angles y and 8, which are respectively the (smallest) angles between the vector B and the positive x and positive y axes Y 8 %3Darrow_forwardDetermine the coordinates of the mass center of the body which is constructed of three pieces of uniform thin plates welded together. Answers: 1.9 b (X,Y,Z) = (i 2.9 b 1.0 b i IM ) barrow_forward
- Let's consider the three atoms composing the molecule now have different masses and coordinate, while the axis of rotation is still z axis that is perpendicular to the xy plane. The first atom has a mass of 142.54 kg, with x coordinate at 3 m and y coordinate at 6 m. The second atom has a mass of 82.55 kg, with x coordinate at 1 m and y coordinate at 6 m. The third atom has a mass of 8 kg, with x coordinate at 5 m and y coordinate at 9 m. What is the moment of inertia in unit of kg m2 with respect to the x axis?arrow_forwarda. Prove the triple product identity Ax(B×C)= B(A·C)-C(A·B). Begin by adopting a Cartesian coordinate system. Without loss of generality, you may orient your coordinate system such that the x axis is along B, so that B = Bi. You then have the freedom to place the y axis in the plane defined by B and C. (But wait- what happens if B and C point in the same direction, so that no such plane is defined?) Very Strong Hint: I did this in class. Look in the book!arrow_forwardAnswer using 3 Significant FIgures.arrow_forward
- Let's consider the three atoms composing the molecule now have different masses and coordinate, while the axis of rotation is still y axis. The first atom has a mass of 9.199 kg, with x coordinate at 3.655 m and y coordinate at 8.442 m. The second atom has a mass of 41.619 kg, with x coordinate at 76.902 m and y coordinate at 57.706 m. The third atom has a mass of 39.818 kg, with x coordinate at 39.495 m and y coordinate at 25.9 m. What is the moment of inertia in unit of kg m2 with respect to the y axis?arrow_forwardlet's consider the three atoms composing the molecule have different masses and coordinate, while the axis of rotation is still y-axis. The first atom has a mass of 8.61 kg, with x coordinate at 3.063 m and y coordinate at 3.826 m. The second atom has a mass of 63.048 kg, with x coordinate at 87.738 m and y coordinate at 51.326 m. The third atom has a mass of 26.317 kg, with x coordinate at 42.334 m and y coordinate at 23.115 m. What is the moment of inertia in the unit of kg m2 with respect to the y axis?arrow_forwardThe two vectors A⃗ =(4.7)i^+(6.9)j^+(3.7)k^A→=(4.7)i^+(6.9)j^+(3.7)k^ and B⃗ =(4.9)i^+(2.3)j^+(6.7)k^B→=(4.9)i^+(2.3)j^+(6.7)k^ define a plane containing a triangle. One vertex of this triangle contains both tails of the two vectors while the other two vertices contain each of the heads of the vectors, respectively. What is the magnitude of a vector perpendicular to this plane? Hint: Find the cross product of the two vectors.arrow_forward
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