A child pulls a box with a force of at an angle of above the horizontal. Then the horizontal
and vertical components of the force will be:
1. 100 N, 175 N
2. 86.6 N, 100 N
3. 100 N, 86.6 N
4. 100 N, 0 N
A man rows a boat at a speed of in the northwest direction. The shoreline makes an angle of south of west. The component of the velocity of the boat along the shoreline is:
1.
2.
3.
4.
Consider east as positive x-axis, north as positive y-axis and vertically upward direction as z-axis. A helicopter first rises up to an altitude of 100 m than flies straight in north 500 m and then suddenly takes a turn towards east and travels 1000 m east. What is position vector of helicopter. (Take starting point as origin)
(1)
(2)
(3)
(4)
If rain falls vertically with a velocity wrt wind and wind blows with a velocity from east to west, then a person standing on the roadside should hold the umbrella in the direction
1.
2.
3.
4.
The component of vector along the direction of is
(1)
(2)
(3)
(4)
A force is 60 ° inclined to the horizontal. If its rectangular component in the horizontal direction is 50 N, then the magnitude of the force in the vertical direction is
1. 25 N
2. 75 N
3. 87 N
4. 100 N
If a unit vector is rotated through an angle of 45° anticlockwise, then the new vector will be:
1.
2.
3.
4.
If is the unit vector in the direction , then:
1.
2.
3.
4.
A force of \(20\) N acts on a particle along a direction, making an angle of \(60^\circ\) with the vertical. The component of the force along the vertical direction will be:
1. | \(2\) N | 2. | \(5\) N |
3. | \(10\) N | 4. | \(20\) N |
A force of 5N acts on a particle along a direction making an angle of with vertical. Its vertical component will be:
1. 10 N
2. 3 N
3. 4 N
4. 2.5 N