The component of vector along the direction of is:
1.
2. 2
3.
4. 3
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 and and are non-zero vectors, then :
1. is parallel to
2. =
3. and are mutually perpendicular
4.
If vector and are functions of time, then the value of t at which they are orthogonal to each other will be:
1.
2.
3.
4.
At what angle must the two forces (x + y) and (x – y) act so that the resultant comes out to be ?
1.
2.
3.
4.
The acceleration of a particle is given by a=3t at t=0, v=0, x=0. The velocity and displacement at t = 2 sec will be:
(\(Here, a=\frac{dv}{dt}~ and~v=\frac{dx}{dt}\))
1. 6 m/s, 4 m
2. 4 m/s, 6 m
3. 3 m/s, 2 m
4. 2 m/s, 3 m
and are two vectors and θ is the angle between them. If , then the value of θ will be:
1. | 60o | 2. | 45o |
3. | 30o | 4. | 90o |
If \(\vec{a}\) is a vector and \(x\) is a non-zero scalar, then which of the following is correct?
1. \(x\vec{a}\) is a vector in the direction of \(\vec{a}\)
2. \(x\vec{a}\) is a vector collinear to \(\vec{a}\)
3. \(x\vec{a}\) and \(\vec{a}\) have independent directions
4. \(x\vec{a}\) is a vector perpendicular to \(\vec{a}\)
A body is moving according to the equation where x represents displacement and a, b and c are constants. The acceleration of the body is: (\(Given: a=\frac{d^2x}{dt^2}\))
1.
2.
3.
4.