If vector and are functions of time, then the value of t at which they are orthogonal to each other will be:
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2.
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4.
If and and are non-zero vectors, then :
1. is parallel to
2. =
3. and are mutually perpendicular
4.
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 |
Component of perpendicular to and in the same plane as that of is:
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2.
3.
4.
At what angle must the two forces (x + y) and (x – y) act so that the resultant comes out to be ?
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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
The displacement of the particle is zero at t=0 and at t=t it is x. It starts moving in the x-direction with a velocity that varies as , where k is constant. The velocity will : (Here, \(v=\frac{dx}{dt}\))
1. vary with time.
2. be independent of time.
3. be inversely proportional to time.
4. be inversely proportional to acceleration.
The acceleration of a particle starting from rest varies with time according to relation, . The velocity of the particle at time instant t is: (\(Here, a=\frac{dv}{dt}\))
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2.
3.
4.
If a curve is governed by the equation y=sinx, then the area enclosed by the curve and x-axis between x =0 and x = is (shaded region) :
1. 1 unit
2. 2 units
3. 3 units
4. 4 units