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A wall clock has a minute hand with a length of 0.51 m and an hour hand with a length of 0.27 m. Take the center of the clock as the origin, and use a Cartesian coordinate system with the positive x axis pointing to 3 o'clock and the positive y axis pointing to 12 o'clock. Express the position vectors of the tip of the hour hand (A) and the tip of the minute hand (B) at the following times. (a) 12:00 A = ( 0.51 |× m) positive y B = (0.21 x m) positive y (b) 3:00 A = ( 0.51 |× m) positive x v B = (0.27 x m) positive y (c) 6:00 A = (0.51 |× m) negative y %3! B = (-0.27 x m) positive y (d) 9:00 A = (0.51 |× m) negative x v B = (-0.27 |× m) negative y %3! Let the +y direction be straight up and the +x direction be to the right.

A wall clock has a minute hand with a length of 0.51 m and an hour hand with a length of 0.27 m. Take the center of the clock as the origin, and use a Cartesian coordinate system with the positive x axis pointing to 3 o'clock and the positive y axis pointing to 12 o'clock. Express the position vectors of the tip of the hour hand (A) and the tip of the minute hand (B) at the following times. (a) 12:00 A = ( 0.51 |× m) positive y B = (0.21 x m) positive y (b) 3:00 A = ( 0.51 |× m) positive x v B = (0.27 x m) positive y (c) 6:00 A = (0.51 |× m) negative y %3! B = (-0.27 x m) positive y (d) 9:00 A = (0.51 |× m) negative x v B = (-0.27 |× m) negative y %3! Let the +y direction be straight up and the +x direction be to the right.

College Physics
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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A wall clock has a minute hand with a length of 0.51 m and an hour hand with a length of 0.27 m. Take the center of the clock as the origin, and use a Cartesian coordinate system with the positive x axis pointing to 3 o'clock and the positive y axis pointing to 12 o'clock. Express the position vectors of the tip of the hour hand (A) and the tip of the minute hand (B) at the following times. (a) 12:00 A = (0.51 |× m) positive y B = (0.21 X m) positive y (b) 3:00 A = (0.51 X m) positive x v B = (0.27 |x m) positive y (c) 6:00 A = (0.51 |x m) negative y %3D B = ( -0.27 |× m) positive y (d) 9:00 A = (0.51 |x m) negative x ♥ %3D B = (-0.27 |× m)negative y vx Let the +y direction be straight up and the +x direction be to the right.
Transcribed Image Text:A wall clock has a minute hand with a length of 0.51 m and an hour hand with a length of 0.27 m. Take the center of the clock as the origin, and use a Cartesian coordinate system with the positive x axis pointing to 3 o'clock and the positive y axis pointing to 12 o'clock. Express the position vectors of the tip of the hour hand (A) and the tip of the minute hand (B) at the following times. (a) 12:00 A = (0.51 |× m) positive y B = (0.21 X m) positive y (b) 3:00 A = (0.51 X m) positive x v B = (0.27 |x m) positive y (c) 6:00 A = (0.51 |x m) negative y %3D B = ( -0.27 |× m) positive y (d) 9:00 A = (0.51 |x m) negative x ♥ %3D B = (-0.27 |× m)negative y vx Let the +y direction be straight up and the +x direction be to the right.
Expert Solution
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The representation of a vector in the horizontal and vertical direction represented as

x→=ax^y→=by^

Here a and b length of the vector

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