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How should three vectors of equal magnitudes be arranged so that they are in equilibrium?
Wiki User
∙ 12y ago
They should be arranged so that they point in a direction that is 120 degrees away from the other two so that they are all 120 degrees from each other.
Wiki User
∙ 12y ago
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How should two vectors lie so that their resultant is zero?
In order for two vectors to add up to zero:-- their directions must be exactly opposite-- their magnitudes must be exactly equal
What should be the angle between the two vectors of magnitudes 3.20and 5.70 units so that their resultant has a magnitudeof 10 units?
The maximum value that the combination of two vectors can have is sum of their magnitudes which in this case is 8.9. This maximum value is less than the needed 10, therefore no angle between them will produce the necessary resultant.
What should be the angle between two vectors of magnitudes 8 and 8 units so that their resultant has a magnitude of 20 units?
It is not possible. The maximum magnitude is obtained when the vectors are aligned and in this case the resultant has a magnitude which is the sum of the individual vectors. In the given example, the maximum possible magnitude for the resultant is 16 units. In general |a+b| <= |a| + |b| where a, b are vectors and |a| is the magnitude of a
Can three vectors of equal magnitudes be added to give a vector of same magnitude and how?
Only if the magnitude of all three vectors equals 0.Suppose three vectors (xi), (xj), (xz) are added. If the above statement is true then adding these three vectors should give a magnitude of x(x2 + x2 + x2)1/2 = xSquaring both sidesx2 + x2 + x2 = x22x2=0The above expression is only solvable for x = 0Hence the answer to the above equation is no, unless both vectors are the zero vector.
What should be the angle for the resultant of two vectors to be maximum?
that's what she said
How should two vectors lie so that their resultant is zero?
In order for two vectors to add up to zero:-- their directions must be exactly opposite-- their magnitudes must be exactly equal
What should be the angle between the two vectors of magnitudes 3.20and 5.70 units so that their resultant has a magnitudeof 10 units?
The maximum value that the combination of two vectors can have is sum of their magnitudes which in this case is 8.9. This maximum value is less than the needed 10, therefore no angle between them will produce the necessary resultant.
What should be the angle between two vectors of magnitudes 8 and 8 units so that their resultant has a magnitude of 20 units?
It is not possible. The maximum magnitude is obtained when the vectors are aligned and in this case the resultant has a magnitude which is the sum of the individual vectors. In the given example, the maximum possible magnitude for the resultant is 16 units. In general |a+b| <= |a| + |b| where a, b are vectors and |a| is the magnitude of a
Can three vectors of equal magnitudes be added to give a vector of same magnitude and how?
Only if the magnitude of all three vectors equals 0.Suppose three vectors (xi), (xj), (xz) are added. If the above statement is true then adding these three vectors should give a magnitude of x(x2 + x2 + x2)1/2 = xSquaring both sidesx2 + x2 + x2 = x22x2=0The above expression is only solvable for x = 0Hence the answer to the above equation is no, unless both vectors are the zero vector.
Is it possible to combine 2 equal vectors to give a zero resultant?
With equal angles between them - which in this case results in 360° / 3 = 120° separation between the angles.
What should be the angle between 2 vectors a?
The angle between 2 vectors can have any value.
Should marriages be arranged?
Marriages should be arranged if the two people involved want them to be.
Should there be an arranged marriage?
No there should not be arranged marriages. People should have choices in whom they want to spend the rest of their lives with.
What should be the angle for the resultant of two vectors to be maximum?
that's what she said
When finding the resultant of two vectors at right triangles you should use what?
Like with all other right triangles, use the Pythagorean Theorem. If you have 2 vectors that form a right triangle, the resultant should be the hypotenuse. So you just need to square both of the vectors, add them together, then take the square root. a2+b2=c2
What is proof of Lami's theorem?
As you probably know, Lami's Theorem only applies to objects in equilibrium, with 3 coplanar (in the same plane) concurrent (intersecting at the same point) forces acting on it. It works because you add vectors together from tip to tail and also taking direction into account, and because the net force of an object in equilibrium is zero.Let's look at an object for which Lami's Theorem works.Now, let's add all these forces together, tip to tail.The force vectors have to do this (form a closed shape) because the object is in equilibrium, and this makes the net force zero. When the net force is zero, the forces should cancel each other out entirely, meaning that adding the vectors will result in zero.(If we added the force vectors of an object NOT in equilibrium, we would obtain a shape that:· is not a proper closed shape, i.e. you add the vectors and they form 1. a wonky line, or 2. a weird triangle thingy where you haven't used the entirety of a vector for the shape.1.2.· is some other shape.This would indicate a net force being present.)Let's take our added-up forces shape and add some details to it. (By the way, this shape is called a forces triangle.)All I did was lengthen the force lines in the direction of the vector.Now:I just used the original diagram, and found out which angles are between which vectors, and inserted them here into the diagram.Then, the inside angles must look like:Now, what's the sine rule again?For sides a,b,and c and included angles A,B and C:Let's do it for our forces triangle!but we know that sin (180-α/β/θ)=sin (α/β/θ), soAnd that's Lami's Theorem!
Why pivot and ring should be concentric?
The pivot and ring should be concentric for equilibrium to be established.
