I need help to solve the angle in this equation.Assume F+ =F-F+ = m2g-m1gsin θ F- = m1gsin θ-m2g(m+2g-m1gsin θ ) = (m1gsin θ-m-2g)θ= ???

Answered: I need help to solve the angle in this…

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)...

See similar textbooks

Related questions

Question

I need help to solve the angle in this equation.

Assume F⁺ =F-

F⁺ = m₂g-m₁gsin θ
F^- = m₁gsin θ-m₂g

(m⁺₂g-m₁gsin θ ) = (m₁gsin θ-m^-₂g)

θ= ???

Expert Solution

Step 1

Given:

$F^{+} = F^{-}$

$F^{+}$ = $m_{2} g - m_{1} g \sin θ$

$F^{-}$ = $- m_{2} g + m_{1} g \sin θ$

using $F^{+} = F^{-}$ :

$m_{2} g - m_{1} g \sin θ$ = $- m_{2} g + m_{1} g \sin θ$

Now we will take $θ$ terms on left hand side and other terms to right hand side.

$- m_{1} g \sin θ$ $- m_{1} g \sin θ$ =- $m_{2} g$ - $m_{2} g$

$- 2 m_{1} g \sin θ$ = -2 $m_{2} g$

$\sin θ = \frac{- 2 m_{2} g}{- 2 m_{1} g}$ = $\frac{m_{2}}{m_{1}}$

Step by step

Solved in 2 steps

SEE SOLUTION Check out a sample Q&A here

Similar questions

Recommended textbooks for you

College Physics

Physics

ISBN:

9781305952300

Author:

Raymond A. Serway, Chris Vuille

Publisher:

Cengage Learning

University Physics (14th Edition)

Physics

ISBN:

9780133969290

Author:

Hugh D. Young, Roger A. Freedman

Publisher:

PEARSON

Introduction To Quantum Mechanics

Physics

ISBN:

9781107189638

Author:

Griffiths, David J., Schroeter, Darrell F.

Publisher:

Cambridge University Press

College Physics

Physics

ISBN:

9781305952300

Author:

Raymond A. Serway, Chris Vuille

Publisher:

Cengage Learning

University Physics (14th Edition)

Physics

ISBN:

9780133969290

Author:

Hugh D. Young, Roger A. Freedman

Publisher:

PEARSON

Introduction To Quantum Mechanics

Physics

ISBN:

9781107189638

Author:

Griffiths, David J., Schroeter, Darrell F.

Publisher:

Cambridge University Press

Physics for Scientists and Engineers

Physics

ISBN:

9781337553278

Author:

Raymond A. Serway, John W. Jewett

Publisher:

Cengage Learning

Lecture- Tutorials for Introductory Astronomy

Physics

ISBN:

9780321820464

Author:

Edward E. Prather, Tim P. Slater, Jeff P. Adams, Gina Brissenden

Publisher:

Addison-Wesley

College Physics: A Strategic Approach (4th Editio…

Physics

ISBN:

9780134609034

Author:

Randall D. Knight (Professor Emeritus), Brian Jones, Stuart Field

Publisher:

PEARSON

SEE MORE TEXTBOOKS

I need help to solve the angle in this equation. Assume F+ =F- F+ = m2g-m1gsin θ F- = m1gsin θ-m2g (m+2g-m1gsin θ ) = (m1gsin θ-m-2g) θ= ???