The impulse due to a force on a body is given by I=. If the force applied on a body is given as a function of time (t) as , then impulse on the body between t=3 sec to t = 5 sec is:
1. 175 kg-m/sec
2. 41 kg-m/sec
3. 216 kg-m/sec
4. 124 kg-m/sec
Which of the following option is not true, if and , where \(\mathrm{A}\) and \(\mathrm{B}\) are the magnitudes of ?
1.
2.
3.
4. \(\mathrm{A}=5\)
In the space, if the sum of vectors of unequal magnitude is zero, then the minimum number of vectors are
(1) 2
(2) 3
(3) 4
(4) 5
If is perpendicular to , then which of the following statement is correct?
1.
2.
3.
4.
The angle between the two vectors and is:
1. 0°
2. 90°
3. 180°
4. 45°
If ; then which of the following statements is incorrect?
(1) must each be a null vector.
(2) The magnitude of equals the magnitude of .
(3) The magnitude of ä can never be greater than the sum of the magnitudes of and
(4) ä must lie in the plane of and .
When a force of magnitude F acts on a body of mass m the acceleration produced in the body is a. If three coplanar forces of equal magnitude F act on the same body as shown in the figure, then acceleration produced is
1. 0
2.
3.
4.
Three forces each of magnitude 1 N act along with the sides AB, BC, and CD of a regular hexagon. The magnitude of their resultant is:
(1) 4N
(2) Zero
(3) 2 N
(4) 1 N
If a unit vector is rotated through an angle of 45° anticlockwise, then the new vector will be:
1.
2.
3.
4.