Home
Class 12
PHYSICS
Assuming the gravity to be in negative z...

Assuming the gravity to be in negative z -direction, a force`vecF =vecV xx vecA` is exerted on a particle in addition to the force of gravity where `vecV` is the velocity of the particle and `vecA` is a constant vector in positive x - direction. What minimum speed a particle of mass in be projected so that it continues to move undeflected with constant velocity?

Text Solution

Verified by Experts

`|vecF| =vA sin theta`
Here, `theta` is angle between `vecv` and `vecA` The particle moves undeflected if `vecF` acts be in positive z-direction. Hence, veloicty should be in negative y-direction.
or `vecV_("min") =-(mg)/A hatj`
Promotional Banner

Similar Questions

Explore conceptually related problems

A force barF=barVxxbarA is exerted on a particle in addition to the force of gravity, where barV is the velocity of the particle and barA is a constant vector in the horizontal direction. The minimum speed of a particle of mass 3kg be projected, so that it continues to move undeflected with a constant velocity is (xg)/A. Then 'x' is (consider the plane of the ground as xy plane)

The velocity of a particle moving in the positive direction of the X-axis varies as V = KsqrtS where K is a positive constant. Draw V-t graph.

The velocity of a particle moving in the positive direction of the X-axis varies as v= Ksqrt(S) Where K is a positive constant.Draw V-t graph .