What is Resultant vector: Definition and 46 Discussions
In physics and engineering, a resultant force is the single force and associated torque obtained by combining a system of forces and torques acting on a rigid body. The defining feature of a resultant force, or resultant force-torque, is that it has the same effect on the rigid body as the original system of forces. Calculating and visualizing the resultant force on a body is done through computational analysis, or (in the case of sufficiently simple systems) a free body diagram.
The point of application of the resultant force determines its associated torque. The term resultant force should be understood to refer to both the forces and torques acting on a rigid body, which is why some use the term ' resultant force-torque.
This is the question as it appeared in the text.
Attempt : I start by drawing an image of the situation.
Two lines 1 and 2 have an angle ##\alpha## between them. The move perpendicular to themselves with velocities ##v_1## and ##v_2##. I am required to find the velocity of their point of...
Hello can anyone help me with this:
there are two sine rules for finding the direction of a resultant vector;one for the sides and one for the angle;
I tested both formulas and they all worked well and gave me equal answers, does that mean I can use them interchangeably,the rules are:
a/sinA =...
Ok. My problem is what angle to choose when adding vector. Statement does not tell me which one is the "first" force vector. So, when using the law of sine formula I get two results.
First, using cosine to get the magnitude:
$$\vec c = \sqrt{a^2 + b^2 +2ab\cos\theta},$$
$$\vec c = \sqrt{15^2 +...
Let us have some localized density of sources, S, in a plane, each of which produces a localized circular vector field. Let us work in polar coordinates. Let the density of sources, S = Aexp(-r^2/a^2) and let each source have circular vector field whose strength is given by exp(-(r-r_i)^2/b^2)...
According to my understanding, option D is the only possible value of R. I don't understand how options A, B and C are included. Please explain this question.
Thanks.
(regards)
I know how to solve this problem with x and y components but how do I solve it with the equilibrant/resultant method? I don't understand how you can make a triangle with both F1 and F2 when in the diagram it looks like the magnitude F1 is only partially represented? Why are we just ignoring the...
Homework Statement
In order to solve a question, I need to find the minimum and maximum resultant of three vectors, their magnitudes are given to me.
Homework Equations
Magnitude of vector A = 1
Magnitude of vector B = 3
Magnitude of vector A = 5
The Attempt at a Solution
The maximum part was...
Homework Statement
Homework Equations
a^2+b^2=c^2
c^2=a^2+b^2-2abCos(theta)The Attempt at a Solution
I'm having trouble trying to draw out the vectors. This is my attempt. I feel like it is wrong. Can someone help out please?
Also, I'm not sure where to go from here... If I used...
Homework Statement
The Resultant of the system of forces shown is R = 425 j lbs. Determine the possible values of P and Θ.
Homework Equations
R = F1 +F2+P
The Attempt at a Solution
I ended up with two equations, one in the "i" direction and one in the "j" direction. I think you have to use...
A force, f1, of a magnitude 6 N acts on particle P. A second force, f2, of magnitude 8 N acts at 60 degrees to f1. Determine the resultant and equilibrant of f1 and f2.
I use cosine law and found the resultant is 7.2 but the answer is 12.7
I used angle 60 and my solution manual says I had to...
Homework Statement
[/B]
The block shown in Fig. P-223 is acted upon by its weight W = 200lb, a horizontal force Q = 600lb and the pressure P exerted by the inclined plane. The resultant R of these forces is up and parallel to the incline thereby sliding the block up it. Determine P and R. Hint...
Hi everyone,
I need steps and some guidance on how to solve questions like this. I know how to do right triangle questions using the Pythagorean method, but when it comes to these non right angle triangles I get so confused. Help!
1. Homework Statement
Homework Equations
a) The magnitude...
Homework Statement
There are 3 charges, each denoted q, the first at (0,a), the second at (0,0) and finally one at (b,0). What is the resultant electric field at point P, (b,a)?
Homework Equations
E[/B]=q/(4πεo r2) for a point charge
The Attempt at a Solution
So I know I need to use the...
Homework Statement
Three vectors A, B, C have magnitudes A=5, B=6 and C=7.
The minimum value of |A+B+C| is
*A represents magnitude, A represents the vector (magnitude and direction)
Homework EquationsThe Attempt at a Solution
I got 4 because I think that the maximum possible cancellation...
angle between two vectors is 90 degrees ,and they are added by parallelogram method ,what will be the angle between resultant and any of the two vectors?shouldn't it be necessarily 45 degrees in such case which i have mentioned i.e when angle between two vectors is 90 degrees
Homework Statement
A man pushing a toy car causes it to undergo 2 displacements. The first has a magnitude of 150 cm and makes an angle of 120degrees with the positive x axis. The resultant displacement has a magnitude of 140 cm and is directed at an angle of 35 degrees at the positive x...
Homework Statement
Four vectors A, B, C, and D are shown (not to scale). Vector A has magnitude 20.0 and acts at an angle of 12.9 degrees with respect to the positive x axis. Vector B has magnitude 15.0 and acts at an angle of 55.7 degrees with respect to the positive x axis. Vector C has...
Homework Statement
http://postimage.org/image/466vu4yvp/
http://postimage.org/image/opdrmlv5n/
There can be more than one right answer
Homework Equations
α=Δv/ΔX
v = v0 + αt
The Attempt at a Solution
Im having difficulty understanding the upward acceleration vector. Because I set the +y...
I was wondering if someone could have a look at my attempt at calculating the resultant vector of 3 forces. Figure is here:http://tinypic.com/view.php?pic=2psrllz&s=6, and from the top down the forces are F1=24,9kN, F2=12,7kN and F3=21kN. The angles are(again from the top down) 56,4°, 15,3° and...
Homework Statement
Graphically determine the resultant of the following three vector displacements:
1) 24m, 30 degrees North of East
2) 28m, 37 degrees East of North
3) 20m, 50 degrees South of West
Homework Equations
The Attempt at a Solution
I have the vectors drawn but I...
Homework Statement
Starting at the origin of coordinates, the following displacements are made in the xy-plane (that is, the displacements are coplanar): 60 mm in the +y-direction, 30 mm in the Ñx-direction, 40 mm at 150°, and 50 mm at 240°. Find the resultant displacement both graphically...
Homework Statement
Q: Make a scale drawing showing both the forces produced by the cables and the resultant force. Estimate the angle carefully or measure it with a protractor.
Supplement:
A person with an injured jaw has a brace below his chin. The brace is held in place by two cables...
Homework Statement
Given two vectors(d and e) in the form of (x,y,z), and given the angle between the vectors, how do you find the resultant vector (a)
Homework Equations
Cosine equation
The Attempt at a Solution
I know that we can use cosine law some how?
Homework Statement
Three vectors are shown in the figure (A = 68.0 ; qB = 54.0°). Their magnitudes are given in arbitrary units. What is the magnitude of the resultant vector?
Homework Equations
here's the image that goes with it
The Attempt at a Solution
well i figure the angle...
I am working with some wind speed data and need to work out the standard deviation of the magnitude of the horizontal wind. Unfortunately the only information I have is the standard deviation for the streamwise and cross-stream components of the wind (which are orthogonal). Is it possible to...
Homework Statement
Points: 3)
A vector X is added to vector Y = 12i -16j. The resultant vector lies along the positive x-axis and has the same magnitude as X. What is the magnitude of X?
a. 20.7
b. 16.7
c. 11.3
d. 4.7
Homework Statement
There are two forces. One has a magnitude of 8 N and acts at an angle of 30 degrees on the resultant vector. The resultant vector is 15 N.
Homework Equations
equations for components (|a|cosx for horizontal and |a|sinx for vertical)
cos law and sin law
basic trig...
Hello I am working on this problem and just can't figure it out...
Consider two displacements, one of magnitude 3.0 m and another of magnitude 3.8 m. What angle between the directions of this two displacements give a resultant displacement of magnitude (a) 5.7 m, (b) 2.5 m, and (c) 3.6 m...
Homework Statement
In the figure below shows the path taken by a drunk skunk over a level ground, from initial point i to final point f. The angles are θ1 = 30, θ2 = 50, and θ3= 80, and the distance are d1 = 5.00 m, d2 = 8.00 m, and d3 = 12.0 m. What are the (a) magnitude and (b) angle of the...
Homework Statement
Three forces are applied to an object, as indicated in the drawing. Force 1 has a magnitude of 33.0 Newtons (33.0 N) and is directed 30.0° to the left of the +y axis. Force 2 has a magnitude of 26.0 N and points along the +x axis. What must be the magnitude and direction...
Homework Statement
what is the resultant vector of an isosceles triangle?
Homework Equations
R^2=a^2+b^2-4abcos(theta)
The Attempt at a Solution
The books answer R=2acos(theta/2)
Using the formula above, and knowing that a=b in a isosceles triangle I am getting...
Homework Statement
We are given three components: Component A has a magnitude of 220g at 0 degrees, Component B has a magnitude of 100g at 110 degrees, and Component C has a magnitude of 160g at 260 degrees.
We are supposed to find the resultant vector. HELP! :)
Homework Equations...
This question is from a "Solved Problems" book where they give the solutions but I'm not able to get the reason !
Question :
ABCD is a quadrilateral.Force BA,BC,CD and DA act at a point.Their resultant is :
Options:
a. 2AB
b. 2DA
c. 2BC
d. 2BA
The given answer is : 2BA
Formulas Related...
A person on a parachute has an upwards force of 500N and a downward force of 1000N. The wind strikes the person at 45 degrees and has a force of 300N find the resultant force to 1 decimal place.
Hint: Resolve the force of the wind into its horizontal and vertical components, before trying to...
Hi,
I was wondering how one would go about finding the direction of the resultant of three vectors, when performing a vector addition of three vectors. I mean I know how to find the magnitude, by summing all the squares of the component vectors, i and j, and square rooting that sum, but how...
Hi everyone,
Could someone please tell me if the magnitude is the same thing as the resultant vector? I know how to solve for the magnitude, but isn't it the same thing as the resultant vector A+B?
Thank you very much
Homework Statement
Find the vector combination R = A + 2B - C. Grid lines are separated by 1 cm. When you submit your answer the third vector that you drew may disappear, but if you are correct you will have a green check mark near the grid. (Mac OS X use Netscape, Windows use IE.) A scratch...
Homework Statement
I am having a tough time finding the resultant vector of the the following three dimensional vector:
d1x=2.33 cm, d1y= 3.84 cm, d1z= -1.2cm
d2x=3.41 cm, d2y= -1.01 cm, d2z = -3.29 cm
d3x= -1.04 cm, d3y= 1.93 cm, d3z = 0 cm
Find the resultant vector magnitude...
Homework Statement
**calculate the resultant velocity of an airplane that normally flies at 200km/h if it encounters a 50km/h tailwind. IF it encounters a 50km/h headwind.
its obvious that each would either slow down the plane or speed it up but i don't know how
1. A person walks in a path which consists of four straight lines at different angles and lengths as seen in the attached image. http://img253.imageshack.us/img253/244/problemlt5.gif
The first part of the problem was to find the resultant displacement which was found to be 512.8. The second...
Hey guys!
I feel like I should know how to do this problem from Trig, but I am totally blanking out right now. We have to find the resultant from the vectors that he has given us. One of the vectors is lying on the negative x-axis. How do I find cosine and sine when the line is on the x-axis...
Ok I know how to mathematically find the resultant vector in any problem where they form a triangle with an angle of 90 degrees. But what do you do when you don't have a 90deg triangle?
The problem: Determine mathematically the resultant of this system of forces
F1 (100 N, 30deg)
F2 (150 N...
I have worked and worked at this problem and it is just not clicking. It is now that I wish geometry would have made sense to me.
I am trying to find the resultant vector made by 115 km at 80 degrees and 85 km at 15 degrees. I have been using the graphing method my teacher showed me. I...
For what reason is a magnetic force vector perpendicular to the magnetic field vector and the velocity vector of a charged particle? I know F=qvBsin and how to compute cross products but why does the force make a particle move in that particular direction? Is relativity involved?