Q. 21

A force is exerted on a particle in addition to the force of gravity, where is the velocity of the particle and A is a constant vector in the horizontal direction. With what minimum speed a particle of mass m be projected so that it continues
to move undeflected with a constant velocity?

Answer :


Since we need equilibrium,



Velocity must be in direction perpendicular to plane in which gravity acts.


Thus, , θ is the angle between A vector and velocity of the particle.





Now, for the velocity to be minimum, sin θ must be maximum,


and maximum value of sinθ=1


minimum velocity of the particle


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