In a two-dimensional tug-of-war, Alex, Betty, and Charles pull horizontally on an automobile tire at the angles shown in the picture.The tire remains stationary in spite of the three pulls. Alex pulls with force ₁ of magnitude 207 N, and Charles pulls with force Fcof magnitude 188 N. Note that the direction of Fc is not given. What is the magnitude of Betty's force if Charles pulls in (a) thedirection drawn in the picture or (b) the other possible direction for equilibrium?142°AlexCharlesBetty(a) Number i(b) Number iUnitsUnits<

Given: Three forces on a object. Magnitude of force FA→ is 207 N Magnitude of force FC→ is 188 N…

Answered: magnitude of Betty's force FB

Physics for Scientists and Engineers with Modern Physics

10th Edition

ISBN:9781337553292

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter3: Vectors

Section: Chapter Questions

Problem 7P: A force F1 of magnitude 6.00 units acts on an object at the origin in a direction = 30.0 above the...

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In a two-dimensional tug-of-war, Alex, Betty, and Charles pull horizontally on an automobile tire at the angles shown in the picture.
The tire remains stationary in spite of the three pulls. Alex pulls with force ₁ of magnitude 207 N, and Charles pulls with force Fc
of magnitude 188 N. Note that the direction of Fc is not given. What is the magnitude of Betty's force if Charles pulls in (a) the
direction drawn in the picture or (b) the other possible direction for equilibrium?
142°
Alex
Charles
Betty
(a) Number i
(b) Number i
Units
Units
<

Expert Solution

Step 1

Given:

Three forces on a object.

Magnitude of force $\vec{F_{A}}$ is $207 N$

Magnitude of force $\vec{F_{C}}$ is $188 N$

Angle between forces $\vec{F_{A}}$ and $\vec{F_{B}}$ is $142^{°}$

Object is at rest in spite of all forces.

Find:

(a) Magnitude of force $\vec{F_{B}}$ if direction of $\vec{F_{C}}$ is same as shown in diagram.

(b) Magnitude of force $\vec{F_{B}}$ for other possible direction of $\vec{F_{C}}$ for equilibrium.

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