(i)The position of a point P of a rigid body B is located atB₁ = [1, 2, 3] T. Determine the global position after rotation 30⁰about X-axis and then 45° about Y-axis.

Answered: Image /qna-images/answer/7fb8d716-d76d-4e62-bc92-77a3e2c32793.jpg

Answered: i) The position of a point P of a rigid…

i) The position of a point P of a rigid body B is located at B₁ = [1, 2, 3]¹. Determine the global position after rotation 3 about X-axis and then 45° about Y-axis.

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

See similar textbooks

Related questions

Q: Find the magnitude of the two components of F directed along AB * .and AC A F=200 N 30° 50 o в

A: Given two member frame :

Q: A = (cos p + 3z) ap - (2r + 4 sin p) ap + (r – 2z) az B = -sin p a, + cos (p az Find a unit vector…

Q: 1) Express force Fd as a vector in the coordinate system. 2) Express the moment about Point O due to…

Q: If the force vector F=(33i-45j+53k) N. a=4 m; b-3 m; c=2 m; a a a F 4a) Determine the magnitude of…

A: Those physical quantities which have both magnitude as well as direction. For example, velocity,…

Q: -2 (2) y zy 4 (y 3) Simplify:

A: Following question is solved which belongs to the engineering mathematics under mechanical…

Q: 100 lb 20 lb 30 45 60 lb 90 3 G0" 30 lb

A: given:

Q: Determine the angle between vector AB and vector AC.

Q: Plot the following coordinates, identify the point and draw a box 1. P(5, -7, 4 ) 2. P(-4, -5, -6 )

A: Co-ordinates are mentioned on x y z plane. Subsequently, boxes are drawn.

Q: Determine the unit vector of r.

Q: theta - 33 degrees M1 - 450 Nm M2 - 550 Nm M3 - 650 Nm M3 "t Find the angle of the resultant moment…

Q: Find the center of mass defined as the area between the parabola Y = x'b and the line Y =b y = b

Q: From the following assembly, determine the following unit vectors: AB, AC, AD. (Check images for…

Q: The moment of the force Fa960-lb about the point O in Cartesian vector form is 1 ft 4 ft 2 ft 4 ft…

Q: 2. The vector A = 2.124 i+3.209 j-5.259 k is written in the triad i'j'k' in which x'y'-axes are…

Q: m2=2 kg, m3=5 kg, r1370 mm, r2-50 r3 = 110 B to dynamically balance the shaft balancing masses of 6…

A: Given m1 = 8Kg, m2 = 2kg, m3=5kg, r1=70mm, r2=50mm and r3=110mm, d=330mmmA=mB=6Kgfind rA, rB, θA and…

Q: On a three-dimensional cartesian plane, there are points A[ 1 1 0 ], B[ 1 10.713 0], C[ 5.156 1 0],…

A: Solution:

Q: Find the superimposed transformation of the vector A, which consists of the compounds (A, A) within…

Q: Given B= (z-3y) a - (2x – 3z) a, - (x + y) a, find a unit vector parallel to B at point P (1, 0,…

A: Given data: B=z-3yax-2x-3zay-x+yaz Need to determine the unit vector parallel to B at point P.

Q: 3. Determine the magnitude of the vector sum V = V1 + V2 and the angle which it makes with the…

Q: Construct the third b' projection of the given solid and points A, B and C on its surfaces.

A: The side view and front view are given in the problem.

Q: A rod of mass M and length Lis nonuniform such that its mass per unit length varies with x according…

Q: Find the center of mass (x̄, ȳ, z̄) of the object shown, given: L1 = 20 mm, L2 = 34 mm, L3 =…

A: The given figure converted into two cuboids as: C1: (L6,L5,(L2+L3)C2: (L1,L2,L4)L1=20 mmL2=34…

Q: Determine the magnitude and the direction angles of a vector -3i + 4j - 7k m. Magnitude is m, a = B…

Q: (c) The diagram shows coplanar forces F, F, and Facting on a common point O. Find the magnitude and…

A: We are suppose to solve only one question. Please post other question as a separate question.

Q: Magnitude of Vectors in 3D Let a =(2, -4, 6). Find a.

A: Given, Vector a → = < 2 , -4 , 6 > From the vector, x-component of vector = ax = 2…

Q: The moment of the force F=120 lb about the point O in Cartesian vector form is.

Q: Q1 Rotate the box in the figure, about line OA clockwise by 30°, then about line OB counterclockwise…

A: In this question the box is rotating about the line OA clockwise by 30o and after that it is…

Q: B 1.5 m/C 1.5 m P= 0.8 kN T-1.2 kN 3 m 2 m 75 m - Determine the x-, y-, and z- components of T. -…

A: Given data: - The magnitude of T is T = 1.2 kN. The magnitude of P is P = 0.8 kN.

Q: 25: Determine the resultant of the system shown, and locate it with respect to point Co) 20N 40N 5…

Q: 1. Find the resultant and its direction from the x-axis (0,) 7 k 15 k 50 ° 10 k

A: Given:

Q: The figure below shows the positions of the Centers of mass of the three disks on a rotating shaft.…

Q: In a design, a line is constructed by connecting P0(2,2,2) and P1(6,6,11), and point P2(2,3,13) is…

Q: Find the center of mass (x̄, ȳ, z̄) of the object shown, given: L1 = 50 mm, L2 = 110 mm, L3 =…

A: A1=L1×L4A1=50×70A1=3500 mm2A2=12×L1×L2-L4A2=12×50×110-70A2=1000 mm2A3=π4×102A3=78.5398 mm2

Q: Find the resultant and a. RY R-50.8 N: alpha - 23.9° R-101.64N; alpha- 23.7° R-50.8; alpha--23°…

A: Given: Rx = 93 N Ry = -41 N To find: resultant R and angle

Concept explainers

Fluid Kinematics

The branch of science that deals with objects which are either in motion or stationary are studied under the branch of classical mechanics. Fluid mechanics is a subcategory of classical mechanics that deals with the behavior of fluids at rest (fluid statics) or in motion (posing some velocity). In fluid kinematics, studies focus on the associated motion of fluid particles or groups of particles, and its associated parameters like displacements, velocity, and acceleration without concerning about the forces that caused the motion. All the laws of classical mechanics are applied in the study of fluid kinematics.

Question

(i)
The position of a point P of a rigid body B is located at
B₁ = [1, 2, 3] T. Determine the global position after rotation 30⁰
about X-axis and then 45° about Y-axis.

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step by step

Solved in 2 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.

Similar questions

Determine the pointing of the resultant for the following system of non-coplanar, concurrent forces. 100 N (1, -9, 6): 200N (-2, 0, -9); 300 N (2, -4, 5). forward, down, and to the left backward, down, and to the right forward, up, and to the right forward, down, and to the right
L3 X = Number y = Number L6 Z = Number 4₁ Find the center of mass (x, y, z) of the object shown, given: L₁ = 120 mm, L2= 90 mm, L3= 25 mm, L4 = 25 mm, L5 = 30 mm, L6 = 20 mm, L7 = Ø 20 mm mm mm LA mm -L7 5 L₂
DeArmine tueindice Š of the direction Vector
If the tension in the cable is F , detemine the magnitude of the moment produced by this force about the hinged axis, CD, of the Given:- 11m 11m F= 550 kN a = 1.1m b= 1.4m B. C= 1.4m 550 kN 14 m FA 1.4m 1.4m Moment about the CD axis: Use either position ve ctor ra or rca Tos j + k %3D The force vector F; E. Fu.- 550 age F = Fu = 550 kN k Fu= k II
The cantilever beam whose details are given in Figure, if E = 200 000 N/mm2. Answer all the questions .below 20 kN A 53.13° 20 mm 180 mm 20 mm 200 mm 100 1000 mm mm
Find the component of the resultant at the u-axis.
if a and b are vectors given by a = (î- 3ĵ+ 5k) and b = (2î+ 4ĵ + 6k), find a. a+b b. a - b c. a - b (the dot product of a and b or "a dot b")