Download the App!

Get 24/7 study help with the Numerade app for iOS and Android! Enter your email for an invite.

Get the answer to your homework problem.

Try Numerade free for 7 days

Like

Report

Two dogs pull horizontally on ropes attached to a post; the angle between the ropes is $60.0^{\circ} .$ If $\operatorname{dog} A$ exerts a force of 270 $\mathrm{N}$ and dog $B$ exerts a force of $300 \mathrm{N},$ find the magnitude of the resultant force and the angle it makes with dog $A$ 's rope.

See Solution.

Physics 101 Mechanics

Chapter 4

Newton's Laws of Motion

Physics Basics

Motion Along a Straight Line

Motion in 2d or 3d

University of Washington

Simon Fraser University

University of Winnipeg

McMaster University

Lectures

03:28

Newton's Laws of Moti…

04:16

In mathematics, a proof is…

13:43

Two dogs pull horizontally…

06:43

Two teenagers are pulling …

01:03

Two ropes in a vertical pl…

03:27

03:31

A stubbom dog is being wal…

04:12

Forces with magnitudes o…

01:04

Two people each pull with …

06:36

Ropes $A B$ and $B C$ are …

0:00

A uniform plank of length …

02:31

Four people participate in…

02:51

A 62 -lb weight hangs from…

05:22

RESULTANT FORCE Forces w…

03:43

Two forces of $255 \mathrm…

00:57

A 17.0 -kg crate is to be …

05:42

Find the magnitude and dir…

03:30

04:51

Two forces of $410 \mathrm…

02:45

If $\quad F_{B}=700 \mathr…

05:19

A person is walking three…

05:45

All right, So first, let's set apart coordinate system. And as you can see here, the X axis has taken to be in the direction in which Force A is applied and why access would be the access perpendicular to Okay, So in the direction ofthe air, you have to 70. Newton's applied. That's and in the direction of bee of 300 didn't supplied. And there's a 60 degree angle between those two. Okay, So this is your picture. This is your setup. And so what we want to do right now is we want Teo resolved forces in X and why? Directions. Okay, It's two dimensional scenario. So So, first of all in the X direction, some ofthe forces, the extraction is equal to, uh there is equal to the ex component of force and which its color F a X plus the ex component of force. Be that Okay, you can see here. FAA is entirely there's acting entirely in the extraction. So that's all of it. That's 2 70 meetings. Let us be is 300 times co sign of 60 because we are interested. So we have their system's 300 angle a 60. We want this. Okay. We want Kearse inside to the angle. And so this is a B X. This is what you don't know. And therefore, it should be, uh, this high Parton's times co sign. Okay. And so this gives us 2 70 plus 1 50 equals 420. Mutants for extraction. Okay, uh, let's go to the Y. Direction now. Two is off forces in the white direction. And similarly, this is just, uh, the white component of force and added with the why component of force. Okay, so this the white component force a zero. Because it's acting entirely. The extraction that's zero leavings and a by comparing force be will be the same as this, except instead of co sign, you have side because, uh, this time you want you want. This is a white component, right? And this is a lesson. The ex components, He want the white compartment. For that, you need to take a sign of the data. So Gattis is 300 millions times signed 60. And so that is 260 meetings. And so it's true what we have so far. Um, we have turkel trying. We have we're interested in the result in force. This is its colors. Efforts of our we already have, uh, f why? And asked acts you want s Amar. And then this angle is You can see it here. It's currently a no powerful We want Alf Oka and so from Pythagoras Theorem aggress You have that r will just be square root of f y squared plus effects squared affect squared plus y squared. And so this will be squared of for 20 squared plus 2 60 squared that comes out to that comes out to 494 Newtons, that's your result of force. All we need now is the angle cancer, the angle. You know that, uh, you have So you have are here, Tango Alfa here it's Ah, you can take the tangent. Attentional Alfa What the wild and ex compartment, right and so can't tell for would be a flyover f x And that's just to 60 over 4 20 Okay, and this will give you Alfa equals 31.8 degrees and certainly result in force for 90. Newton's active at 31.8 degrees from the excess No

View More Answers From This Book

Find Another Textbook

Newton's Laws of Motion are three physical laws that, laid the foundati…

In mathematics, a proof is a sequence of statements given to explain how a c…

02:50

Computer chips (Fig. 13$)$ etched on circular silicon wafers of thickness 0.…

01:42

An Otto engine uses a gas having $\gamma=1.40$ and has a com-pression ra…

03:23

\bullet At a frequency $\omega_{1},$ the reactance of a certain capacitor eq…

04:07

(II) Time intervals measured with a stopwatch typically have an uncertainty …

03:14

Leakage in a dielectric. Two parallel plates of a capacitor have equal and o…

08:13

$\bullet$$\bullet$ Helium gas expands slowly to twice its original volume, d…

A jetliner has a cruising air speed of 600 $\mathrm{mph}$ relative to the ai…

05:05

$\cdot$ You have 750 $\mathrm{g}$ of water at $10.0^{\circ} \mathrm{C}$ in a…

02:35

An underground tank with a capacity of 1700 $\mathrm{L}\left(1.70 \mathrm{m}…

01:52

Find the current amplitude if the self-inductance of a resistanceless induct…