The figure shows a composite slab with dimensions d₁ = 11.2 cm, d₂ = 2.93 cm, and d3= 13.6 cm. Half the slab consists of aluminum (density = 2.70 g/cm³3) and half consists of iron (density = 7.85 g/cm³). What are (a) the x coordinate, (b) the y coordinate, and (c) the z coordinate of the slab's center of mass? (a) Number i (b) Number (c) Number i Units Units Units Iron 24₁ Aluminum < Midpoint >

The figure shows a composite slab with dimensions d₁ = 11.2 cm, d₂ = 2.93 cm, and d3= 13.6 cm. Half the slab consists of aluminum (density = 2.70 g/cm³3) and half consists of iron (density = 7.85 g/cm³). What are (a) the x coordinate, (b) the y coordinate, and (c) the z coordinate of the slab's center of mass? (a) Number i (b) Number (c) Number i Units Units Units Iron 24₁ Aluminum < Midpoint >

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter14: Static Equilibrium, Elasticity, And Fracture

Section: Chapter Questions

Problem 8PQ

See similar textbooks

Similar questions

Perform the following arithmetic operations, keeping the correct number of significant figures in your answer. a. The product 56.2 0.154 b. The sum 9.8 + 43.4 + 124 c. The quotient 81.340/
A pirate has buried his treasure on an island with five trees located at the points (30.0 m, 20.0 m), (60.0 m, 80.0 m), (10.0 m, 10.0 m), (40.0 m, 30.0 m), and (70.0 m, 60.0 m), all measured relative to some origin, as shown in Figure P1.69. His ships log instructs you to start at tree A and move toward tree B, but to cover only one-half the distance between A and B. Then move toward tree C, covering one-third the distance between your current location and C. Next move toward tree D, covering one-fourth the distance between where you are and D. Finally move toward tree E, covering one-fifth the distance between you and E, stop, and dig. (a) Assume you have correctly determined the order in which the pirate labeled the trees as A, B, C, D, and E as shown in the figure. What are the coordinates of the point where his treasure is buried? (b) What If? What if you do not really know the way the pirate labeled the trees? What would happen to the answer if you rearranged the order of the trees, for instance, to B (30 m, 20 m), A (60 m, 80 m), E (10 m, 10 m), C (40 m, 30 m), and D (70 m, 60 m)? State reasoning to show that the answer does not depend on the order in which the trees are labeled. Figure 1.69
What are (a) the x component, (b) the y component, and (c) the z component of 7 = a - b + if à = 2.8î+ 5.7) – 8.12. b = -4.9î+ 4.4 +3.8k, and 7 = 1.8î + 2.8) + 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 7? Just answer de f Answer of a=9.5, b=4.1, c=-7.3
6:16 1 B 17.4 8. Two vectors are presented by the diagram. What is the direction and magnitude of the cross product of vector A and B (A) Out of the page, 260 (B) Out of the page, 270 (C) Into the page, 150 (D) into the page, 260 (E) Into the page, 340 A 15.6 730 a d 9. The components of vector A are given as follows: Ax = 7.6 Ay = -5.8 What is the magnitude of the vector? (A) 1.8 (B) 6.8 (C) 9.6 (D) 10.6 (E) 13.4 a d. e
Vector A =5i+2j and vector B =2i−3j+4k. a) What is the cross product A⃗ ×B⃗ ? Find the x-component. b)Find the y-component. c)Find the z-component.
In the cross (or vector) product F = qu x B we know that q = 1 F = −29î + −16ĵ + −18k 6.01 +3.07 + 7.0k V = B = B + BJ + Bi What then is B in unit-vector notation if Bx = By? B = i î+ i Ĵ+ i
Answer items 1 to 3: On what quadrant is the vector -3i - 15j located? On what quadrant is the vector 3i + 15j located? What is the product of two unit vectors where one is along the positive y-axis and the other is along the positive z-axis respectively? What is the product of two unit vectors where one is along the positive x-axis and the other is along the positive z-axis respectively? To get the unit vector in the direction of a given vector, the components of the vector must be divided to its magnitude
Problem 1: Vectors A and B are shown in Figure 1. a. What is A in terms of x and y components? Answer: A = 2.74î +7.52ĵ b. What is B in terms of x and y components? Answer: B = -18.13î - 8.45) c. What is the resultant vector R = A + B? Answer: R= -15.39î - 0.93ĵ d. What is R, the magnitude of R? Answer: R = 15.42 e. What is, the angle R makes with respect to the +x-axis? 0 = 180° +3.46° = 183.46° B Figure 1: Vectors for Problem 1. 25° B = 20 Ā A = 8 /70°
Assume you have the following two vectors: A = 14i+ 15.5j + 13k B = 1.3i+ 7.5j - 1.9k Part (a) what is the x-component of the vector V = A x B? Part (b) What is the y-component of the vector V = A × B? Part (c) What is the z-component of the vector V = A × B? Part (d) What is the magnitude of the vector V = A x B? V =
In the figure, a vector a with a magnitude of 20.3 m is directed at angle 0 = 46° counterclockwise from the +x axis. What are the components (a) ax and (b) a, of the vector? A second coordinate system is inclined by angle O' = 17° with respect to the first. What are the components (c) a'x and (d) a', in this primed coordinate system? a a's X ax (a) Number i Units (b) Number Units (c) Number i Units (d) Number i Units
Vector A has magnitude 5.00 m and lies in the xy-plane in adirection 53.0o from the +x-axis axis measured toward the +y-axis.Vector b has magnitude 8.00 m and a direction you can adjust. (a) Youwant the vector product A : B to have a positive z-component of thelargest possible magnitude. What direction should you select for vectorB S? (b) What is the direction of B for which A : B has the mostnegative z-component? (c) What are the two directions of B S for whichA : B is zero?
Angle between two vectors A and B is 0. The cross product of the two vectors A x B is: Oa quantity that has magnitude ABsin 0 but no direction. a quantity that has magnitude ABcos 0 but no direction. Oa quantity that has magnitude ABsin 0 and direction determined by right hand rule. a quantity that has magnitude AB cos 0 and direction determined by right hand rule.