361789
If a vector \({r=x \hat{i}+y \hat{j}+z \hat{k}}\), makes angle \({\dfrac{\pi}{3}, \dfrac{\pi}{3}}\) and \({\dfrac{\pi}{n}}\) with \({X}\)-axis, \({Y}\)-axis and \({Z}\)-axis respectively. The value of \({n}\) is
361790
100 coplanar forces each equal to 10\(N\) act on a body. Each force makes angle \(\pi /50\) with the preceding force. What is the resultant of the forces?
1 \(1000\,N\)
2 \(500\,N\)
3 \(250\,N\)
4 \({\rm{Zero}}\)
Explanation:
If \(n\) identical forces each with angular separation between any adjacent vectors is \(\frac{{2\pi }}{n}\) then the resultant force is always equal to zero.
PHXI04:MOTION IN A PLANE
361791
Among the given pair of vectors, the resultant 3 of two vectors can never be 3 units. The vectors are
1 1 unit and 2 units
2 2 units and 5 units
3 3 units and 6 units
4 4 units and 8 units
Explanation:
Resultant of two vectors is always lies between maximum \({(P+Q)}\) and minimum \({(P-Q)}\) resultant. \({\therefore P-Q \leq R \leq P+Q}\) So, correct option is (4).
KCET - 2024
PHXI04:MOTION IN A PLANE
361792
There are \(N\)-coplanar vectors each of magnitude \(V\). Each vector is inclined to the preceding vector at angle \(\dfrac{2 \pi}{N}\). What is the magnitude of their resultant?
1 \(V / N\)
2 \(V\)
3 Zero
4 \(N / V\)
Explanation:
Using polygon's law of addition of vectors, if ' \(N\) ' number of vectors of same magnitude are arranged such that each vector makes angle \(\dfrac{2 \pi}{N}\) with the proceeding one, then their resultant would be zero.
361789
If a vector \({r=x \hat{i}+y \hat{j}+z \hat{k}}\), makes angle \({\dfrac{\pi}{3}, \dfrac{\pi}{3}}\) and \({\dfrac{\pi}{n}}\) with \({X}\)-axis, \({Y}\)-axis and \({Z}\)-axis respectively. The value of \({n}\) is
361790
100 coplanar forces each equal to 10\(N\) act on a body. Each force makes angle \(\pi /50\) with the preceding force. What is the resultant of the forces?
1 \(1000\,N\)
2 \(500\,N\)
3 \(250\,N\)
4 \({\rm{Zero}}\)
Explanation:
If \(n\) identical forces each with angular separation between any adjacent vectors is \(\frac{{2\pi }}{n}\) then the resultant force is always equal to zero.
PHXI04:MOTION IN A PLANE
361791
Among the given pair of vectors, the resultant 3 of two vectors can never be 3 units. The vectors are
1 1 unit and 2 units
2 2 units and 5 units
3 3 units and 6 units
4 4 units and 8 units
Explanation:
Resultant of two vectors is always lies between maximum \({(P+Q)}\) and minimum \({(P-Q)}\) resultant. \({\therefore P-Q \leq R \leq P+Q}\) So, correct option is (4).
KCET - 2024
PHXI04:MOTION IN A PLANE
361792
There are \(N\)-coplanar vectors each of magnitude \(V\). Each vector is inclined to the preceding vector at angle \(\dfrac{2 \pi}{N}\). What is the magnitude of their resultant?
1 \(V / N\)
2 \(V\)
3 Zero
4 \(N / V\)
Explanation:
Using polygon's law of addition of vectors, if ' \(N\) ' number of vectors of same magnitude are arranged such that each vector makes angle \(\dfrac{2 \pi}{N}\) with the proceeding one, then their resultant would be zero.
361789
If a vector \({r=x \hat{i}+y \hat{j}+z \hat{k}}\), makes angle \({\dfrac{\pi}{3}, \dfrac{\pi}{3}}\) and \({\dfrac{\pi}{n}}\) with \({X}\)-axis, \({Y}\)-axis and \({Z}\)-axis respectively. The value of \({n}\) is
361790
100 coplanar forces each equal to 10\(N\) act on a body. Each force makes angle \(\pi /50\) with the preceding force. What is the resultant of the forces?
1 \(1000\,N\)
2 \(500\,N\)
3 \(250\,N\)
4 \({\rm{Zero}}\)
Explanation:
If \(n\) identical forces each with angular separation between any adjacent vectors is \(\frac{{2\pi }}{n}\) then the resultant force is always equal to zero.
PHXI04:MOTION IN A PLANE
361791
Among the given pair of vectors, the resultant 3 of two vectors can never be 3 units. The vectors are
1 1 unit and 2 units
2 2 units and 5 units
3 3 units and 6 units
4 4 units and 8 units
Explanation:
Resultant of two vectors is always lies between maximum \({(P+Q)}\) and minimum \({(P-Q)}\) resultant. \({\therefore P-Q \leq R \leq P+Q}\) So, correct option is (4).
KCET - 2024
PHXI04:MOTION IN A PLANE
361792
There are \(N\)-coplanar vectors each of magnitude \(V\). Each vector is inclined to the preceding vector at angle \(\dfrac{2 \pi}{N}\). What is the magnitude of their resultant?
1 \(V / N\)
2 \(V\)
3 Zero
4 \(N / V\)
Explanation:
Using polygon's law of addition of vectors, if ' \(N\) ' number of vectors of same magnitude are arranged such that each vector makes angle \(\dfrac{2 \pi}{N}\) with the proceeding one, then their resultant would be zero.
361789
If a vector \({r=x \hat{i}+y \hat{j}+z \hat{k}}\), makes angle \({\dfrac{\pi}{3}, \dfrac{\pi}{3}}\) and \({\dfrac{\pi}{n}}\) with \({X}\)-axis, \({Y}\)-axis and \({Z}\)-axis respectively. The value of \({n}\) is
361790
100 coplanar forces each equal to 10\(N\) act on a body. Each force makes angle \(\pi /50\) with the preceding force. What is the resultant of the forces?
1 \(1000\,N\)
2 \(500\,N\)
3 \(250\,N\)
4 \({\rm{Zero}}\)
Explanation:
If \(n\) identical forces each with angular separation between any adjacent vectors is \(\frac{{2\pi }}{n}\) then the resultant force is always equal to zero.
PHXI04:MOTION IN A PLANE
361791
Among the given pair of vectors, the resultant 3 of two vectors can never be 3 units. The vectors are
1 1 unit and 2 units
2 2 units and 5 units
3 3 units and 6 units
4 4 units and 8 units
Explanation:
Resultant of two vectors is always lies between maximum \({(P+Q)}\) and minimum \({(P-Q)}\) resultant. \({\therefore P-Q \leq R \leq P+Q}\) So, correct option is (4).
KCET - 2024
PHXI04:MOTION IN A PLANE
361792
There are \(N\)-coplanar vectors each of magnitude \(V\). Each vector is inclined to the preceding vector at angle \(\dfrac{2 \pi}{N}\). What is the magnitude of their resultant?
1 \(V / N\)
2 \(V\)
3 Zero
4 \(N / V\)
Explanation:
Using polygon's law of addition of vectors, if ' \(N\) ' number of vectors of same magnitude are arranged such that each vector makes angle \(\dfrac{2 \pi}{N}\) with the proceeding one, then their resultant would be zero.
