Tutorial 1 (a) Figure 1 shows a part of cylindrical cube. The dimension of the cylindrical cube is described as r≤p≤0≤≤502 and hi≤2≤h, where surfaces pri, p=0₁ and z=hy are located at AEBG, ABCD and BDGH, respectively. Determine: (i) the perimeter (total length of edges) of object in Figure 1. Hint: Length AC-EF=BD=GH (ii) the surface area of CFDH. (iii) the surface area of ABCD. (iv) volume of the cylindrical cube if r = 0, r2=1, 0₁ = 0, 0₂ = 2, h=0 and 2 h. What formula does the result represent? (b) B E Figure 1 Let the coordinate of vectors A, B, and C be denoted by (1.00ax +2.00a-3.00a₂), (√50a, -0.142a + 2a) and (6.403a, +лаg + 0.675a), respectively. Determine: (i) Vector B and C in Cartesian coordinate system. (ii) The angle between vector A and B. (iii) The unit vector that is perpendicular to vector A and B. Hint: Value of angle is in radian.
Tutorial 1 (a) Figure 1 shows a part of cylindrical cube. The dimension of the cylindrical cube is described as r≤p≤0≤≤502 and hi≤2≤h, where surfaces pri, p=0₁ and z=hy are located at AEBG, ABCD and BDGH, respectively. Determine: (i) the perimeter (total length of edges) of object in Figure 1. Hint: Length AC-EF=BD=GH (ii) the surface area of CFDH. (iii) the surface area of ABCD. (iv) volume of the cylindrical cube if r = 0, r2=1, 0₁ = 0, 0₂ = 2, h=0 and 2 h. What formula does the result represent? (b) B E Figure 1 Let the coordinate of vectors A, B, and C be denoted by (1.00ax +2.00a-3.00a₂), (√50a, -0.142a + 2a) and (6.403a, +лаg + 0.675a), respectively. Determine: (i) Vector B and C in Cartesian coordinate system. (ii) The angle between vector A and B. (iii) The unit vector that is perpendicular to vector A and B. Hint: Value of angle is in radian.
Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter1: Introduction And Vectors
Section: Chapter Questions
Problem 6P: Figure P1.6 shows a frustum of a cone. Match each of the three expressions (a) (r1 + r2)[h2 + (r2 ...
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Transcribed Image Text:Tutorial 1
(a)
Figure 1 shows a part of cylindrical cube. The dimension of the cylindrical cube is described
as r≤p≤0≤≤502 and hi≤2≤h, where surfaces pri, p=0₁ and z=hy are located at
AEBG, ABCD and BDGH, respectively. Determine:
(i) the perimeter (total length of edges) of object in Figure 1.
Hint: Length AC-EF=BD=GH
(ii) the surface area of CFDH.
(iii) the surface area of ABCD.
(iv) volume of the cylindrical cube if r = 0, r2=1, 0₁ = 0, 0₂ = 2, h=0 and 2 h. What
formula does the result represent?
(b)
B
E
Figure 1
Let the coordinate of vectors A, B, and C be denoted by (1.00ax +2.00a-3.00a₂),
(√50a, -0.142a + 2a) and (6.403a, +лаg + 0.675a), respectively. Determine:
(i) Vector B and C in Cartesian coordinate system.
(ii) The angle between vector A and B.
(iii) The unit vector that is perpendicular to vector A and B.
Hint: Value of angle is in radian.
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