×
Get Full Access to University Physics - 13 Edition - Chapter 1 - Problem 30e
Get Full Access to University Physics - 13 Edition - Chapter 1 - Problem 30e

×

Let be the angle that the vector makes with the + x -axis,

ISBN: 9780321675460 31

Solution for problem 30E Chapter 1

University Physics | 13th Edition

• Textbook Solutions
• 2901 Step-by-step solutions solved by professors and subject experts
• Get 24/7 help from StudySoup virtual teaching assistants

University Physics | 13th Edition

4 5 1 328 Reviews
17
2
Problem 30E

Let ? be the angle that the vector makes with the + x -axis, measured counterclockwise from that axis. Find angle ? for a vector that has these components: (a) Ax = 2.00 m, Ay = - 1.00 m; (b) Ax = 2.00 m, Ay = 1.00 m; (c) Ax = - 2.00 m, Ay = 1.00 m; (d) Ax = - 2.00 m, Ay = - 1.00 m.

Step-by-Step Solution:

Solution 30E Any vector quantity in two dimension can be written as A = A ix+ A jyˆ Where i is the unit vector along x and j is the unit vector along y axis. If A making an angle with +x axis, then we can write that A x |A|cos ……(1) And A y |A|sin …….(2) Here |A| is the magnitude of the vector. Now dividing (2) with (1) we get Ay A = tan x A = tan ( ) y Ax Step 1 a) Here we have A x 2.00 m A y 1.00 m Hence the angle is A = tan ( ) = tan ( 1 1.00 m) = 26.6° Ax 2.00 m

Step 2 of 4

Step 3 of 4

Related chapters

Unlock Textbook Solution