* the Prime Ccordinates system C is obtai nalby rotating the C system through ans angle 60°aboutaxis passes through origin and a pointan! ofP of Coordinates (1,1,-1), FindI the trans formation matrix2if there is a vector Q with components of(3,-6, 9) in the c' Coordinate system, Findthe vectors Compon ent's in the C-system?[Q' - AT Q] -%3DtpeいリーリLopio)

Answered: Image /qna-images/answer/16308b4f-37f3-4644-bf35-5ad1960b55d5.jpg

* the prime Gordinates system C is obtai nal by rotating the C system throtigh ans angle 60° axis passes through origin and a point Coordinates (1, I, -1), Find about an P of A the trans formation matrix 2if there is a vedor Q with components of (3,-6, 9) in the c' Coordinate system, Find the vectors Compon ent's in the C-system? [Q' = AT Q] - いりー fopio)

* the prime Gordinates system C is obtai nal by rotating the C system throtigh ans angle 60° axis passes through origin and a point Coordinates (1, I, -1), Find about an P of A the trans formation matrix 2if there is a vedor Q with components of (3,-6, 9) in the c' Coordinate system, Find the vectors Compon ent's in the C-system? [Q' = AT Q] - いりー fopio)

University Physics Volume 1

18th Edition

ISBN:9781938168277

Author:William Moebs, Samuel J. Ling, Jeff Sanny

Publisher:William Moebs, Samuel J. Ling, Jeff Sanny

Chapter2: Vectors

Section: Chapter Questions

Problem 91CP: between points in a plane do not change when a coordinate system is rotated In other words, the...

See similar textbooks

Similar questions

between points in a plane do not change when a coordinate system is rotated In other words, the magnitude of a vector Is invariant under rotations of the coordinate system. Suppose a coordinate system S is rotated about its origin by angle to become a new coordinate system S’, as shown in the following figure. A point in a plane has coordinates (x,y)in S and coordinates (x,y) in S’. (a) Show that, during the transformation of rotation, the coordinates in S are expressed in terms of the coordinates in S by the following relations: {x=xcos+ysiny=xsin+ycos (b) Show that the distance of point Pto the origin is invariant under rotations of the coordinate system. Here, you have to show that x2+y2=x2+y2. (c) Show that the distance between points Pand Q is invariant under rotations of the coordinate system. Here, you have to show that ( xP =xQ )2+( yP yQ )2=( xP =xQ )2+( yP yQ )2 .
Check your Understanding A blue fly lands on a sheet of graph paper a point located 10.0 cm to the right of its left edge and 8.0 cm above its bottom edge and walks slowly to a point located 5.0 cm from the left edge and 5.0 cm from the bottom edge. Choose the rectangular coordinate system with the origin at the lower left-side comet of the paper and find the displacement vector of the fly. Illustrate your solution by graphing.
A flywheel is rotating at 30 rev/s. What is the total angle, in radians, through which a point on the flywheel rotates in 40 s?
A propeller blade at rest starts to rotate from t=0 to t=5.0s with a tangential acceleration of the tip of the blade at 3.00m/s2 . The tip of the blade is 1.5 m from the axis of rotation. At t=5.0s , what is the total acceleration of the tip of the blade?
The unit vectors of Cartesian Ox,x,xz, cylindrical Opøx, and spherical Or0ø coordinate systems are denoted by (f,,f,,â; ), (§.§̟î‚) and (î,ô,§) respectively. Perform f - dễ and choose correct de answer. A -1 B 1. D 2
iteo e me cke NUMERICAL PROBLEMS Suppose, in a rectangular coordinate system, a vector A has its tail at the point a(-2,-3) and its tip at b(3, 9).Determine the distance between these two points. nead (Ans: 13 Units) 2. A certain corner of a room is selected as the origin of a rectangular coordinate system. If an insect is crawling on an adjacent wall at a point having coordinates (2,1), where the units are in metres, what is distance of the insect from this corner of the room? s. The ent dire (Ans: 2.2m) ved What is the unit vector in the direction of the vector A=4i+3j? (41+3 )) (Ans: on a magn object Two particles are located at r, = 3 i+ 7j and r2 =-2i +3j respectively. Find both the magnitude of the vector (r2.r)and its orientation with respect to the x-axis. [Ans: 6.4,219) If a vector B is added to vector A, the result is 6i + j. If B is subtracted from A, the result is -4 i+7 j. What is magnitude of vector A? (Ans: 4.1) ould th 6 Given that A =2 i+3j and B = 3 i-4 j, find the…
Item 15 Review Part A Let vectors A (2,1, 4). B (3,0,1). and C Calculate the following: (-1,-1,2) View Available Hintis) A.B Subni Part B What is the angle 0An behween A and B? Express your answer using one significant figure View Available Hint(s) radians Subrnit
th as shown in the diagram be C 8 7 B 3 4. A 9 magnitude zero When the ball is at location B, what is the direction of the v vector?
A rotating fan blade completes 20.0 revolutions per second. The tip of the fan blade is at a radius of 15.0 cm from the centre of the blade. a) What is the total distance travelled by the blade tip in one revolution? b) What is the tip's speed? c) What is the magnitude of uie tip's centripetal acceleration?
Question: The polar coordinates of a point are 50m and . Then, what are its Cartesian coordinates? A. 2.75i+ 4.763j m, B. -2.75i- 4.763j m, C. 2.75i - 4.763j m, D. 4.763j m, E. -2.75i + 4.763j m,
FAe=150N A %3D FAR=200 N 3m 3 m y. 2 m -4 m a) What is the position vector, rap? AB b) What is the distance between A and B? c) What is the unit vector that describes the direction of Fn? AB d) What is the coordinate direction angle, a, for FaB e) If rac = (-31 – 4j – 3k) m, what is the angle between AC and AB?
Please provide a clear solution and FBD. 1 hour left! A projectile is shot at an inclination of 450 from the ground with a speed of 250 mps. Determine the radius of curvature after 15 sec. Support your solution with a correctly drawn figure showing the velocity, acceleration and indicate the normal and tangential axes.