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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Figure 5.9 shows (v_{x} ,t ),and( (v_{y} ,t) diagrams for a body of unit mass. Find the force as a function of time.

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