At what angle do the forces (A+B) & (A-B) act so that the magnitude of resultant is √ 3 A^2 + B ^2 ?
Answers
Answer:
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Step-by-step explanation:
We have two vectors those being,
A+B
A−B
Their sum is 2A . I assume what we want is that this equals 3|A|2+|B|2−−−−−−−−−−√ in magnitude. This implies that,
4|A|2=3|A|2+|B|2
With some rearangment, in the language of dot products, this means that,
(A−B)⋅(A+B)=0
Hence the vectors are orthogonal. Furthermore it is easy to see that the vectors A,B should be equal in magnitude.
At what angles do two vectors of magnitude (A+B) AND (A-B) act so that their resultant is the square root of 3Asquare+Bsquare?
At what angle the vector a + b and a minus b must act so that the resultant is root a square + b square?
If c bar = a bar + b bar, then is it possible to have a magnitude of c bar lesser than a bar and a magnitude of c bar lesser than b bar? Why?
If |A + B| = |A - B|, then what is the angle between vectors A and B?
If the resultant of two vectors A and B subtends at an angle of 45° with either of them, what will be the mod of the resultant vector?
applying the triangle law of vector addition
The Resultant of forces P and Q acting at angle # to each other is the root of
P^2+Q^2+2PQcos#
hence;
3A^2+B^2=(A+B)^2+(A-B)^2+2(A+B)(A-B)cos#
3A^2+B^2=2A^2+2B^2+2(A^2-B^2)cos#
A^2-B^2=2(A^2-B^2)cos#
cos#=1/2
#=60 degrees
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Given ,
2 forces are A+B and A-B
R = √3A²+ B²
P= A+B
Q= A-B
Then, the resultant force R=√P²+ Q²+2P.Q.2Cos
=> √3A²+ B² = √P² +Q² +PQCos
=>3A²+B²= (A+B)²+(A-B)²+2(A+B)(A-B) cos
=>3A²+B²=A²+ 2AB+B²+A²-2AB+B²+2A²cos
=>. ?????
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Using the parallelogram rule of addition we get
If the answer and procedure is right please upvote
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看不懂 I cant understand the question.
60
At what angles do two vectors of magnitude (A+B) AND (A-B) act so that their resultant is the square root of 3Asquare+Bsquare?
At what angle the vector a + b and a minus b must act so that the resultant is root a square + b square?
If c bar = a bar + b bar, then is it possible to have a magnitude of c bar lesser than a bar and a magnitude of c bar lesser than b bar? Why?
If |A + B| = |A - B|, then what is the angle between vectors A and B?
If the resultant of two vectors A and B subtends at an angle of 45° with either of them, what will be the mod of the resultant vector?
If A and B are two vectors, then what is the angle between A+B and A-B?
If A and B are two vectors, what is the angle between (A+B) and (A-B)?
If A and B are two vectors, what is the angle between (A + B) and (A × B)?
What is the angle between the two vectors (A*B) and (B*A)?
The result of two vectors a and b is perpendicular to vector 'a' and its magnitude is equal to half of the magnitude of vector 'b'. The angle between vector a and b is?
If a and b are two vectors such that |a+b|=|a-b|, what is the angle between a and b?
If A⃗ ×B⃗ =B⃗ ×A⃗ , then what is the angle between A⃗ and B⃗ ?
What is the angle between A and the resultant of A+B and A-B?
Why we only take positive value of resultant vector which comes as R^2=A^2+B^2+2ABcos@ then R=+-Root (A^2+B^2+2ABcos@)?
At what angle should two forces A+B and A-B act so that their resultant is under root 3 a squared + b squared?