Two forces are such that the sum of their magnitudes is 18 N and their resultant is perpendicular to the smaller force and the magnitude of the resultant is 12 N. Then the magnitudes of the forces will be:
1. 12 N, 6 N
2. 13 N, 5N
3. 10 N, 8 N
4. 16 N, 2 N
If two forces of 5 N each are acting along X and Y axes, then the magnitude and direction of resultant is
(1)
(2)
(3)
(4)
Two forces with equal magnitudes F act on a body and the magnitude of the resultant force is F/3. The angle between the two forces is
(1)
(2)
(3)
(4)
Two forces of magnitude F have a resultant of the same magnitude F. The angle between the two forces is
(1) 45°
(2) 120°
(3) 150°
(4) 60°
If the magnitude of the sum of two vectors is equal to the magnitude of the difference of the two vectors, the angle between these vectors is:
If the magnitude of the sum of two vectors is equal to the magnitude of the difference between the two vectors, the angle between these vectors is:
1. 90°
2. 45°
3. 180°
4. 0°
If vectors A = cosωt + sinωt and B = (cosωt/2) + (sinωt/2) are functions of time, then the value of t at which they are orthogonal to each other
1. t=/4ω
2. t=/2ω
3. t=/ω
4. t=0
Six vectors have the directions as indicated in the figure. Which of the following statements may be true?
1.
2.
3.
4.
Assertion (A): | The graph between P and Q is a straight line when P/Q is constant. |
Reason (R): | The straight-line graph means that P is proportional to Q or P is equal to a constant multiplied by Q. |
Which one, of the following statements, is correct?
1. | Both (A) and (R) are True and (R) is the correct explanation of (A). |
2. | Both (A) and (R) are True but (R) is not the correct explanation of (A). |
3. | (A) is True but (R) is False. |
4. | Both (A) and (R) are False |
Two forces A and B have a resultant . If B is doubled, the new resultant is perpendicular to A. Then
1.
2.
3.
4.