Assuming the gravity to be in negative z - direction, a force vec(F)=vec(V)xx vec(A) is exerted on a particle in addition to the force of gravity where vec(V) is the velocity of the particle and vec(A) is a constant vector in positive x - direction. What minimum speed a particle of mass m be projected so that it continues to move undeflected with constant velocity ?

Assuming the gravity to be in negative z - direction, a force vec(F)=v

1.	Assuming the gravity to be in negative z - direction, a force vec(F)=vec(V)xx vec(A) is exerted on a particle in addition to the force of gravity where vec(V) is the velocity of the particle and vec(A) is a constant vector in positive x - direction. What minimum speed a particle of mass m be projected so that it continues to move undeflected with constant velocity ?
Answer» SOLUTION :`\|VEC(F)\|=v` A sin `theta` Here, `theta` is angle between `vec(v)` and `vec(A)` The particle MOVES undeflected if `vec(F)` acts be in positice z - direction. Hence, velocity should be in NEGATIVE y - direction. Or `vec(V_(min))=-(mg)/(A)hat(j)`.