A particle of mass, $m$, moves in three dimensions on the surface of a sphere defined by the equation $x^2 + y^2 + z^2 = 16$.
Defining the trajectory of the particle by $r(t) = r_x \hat{e}_x + r_y \hat{e}_y + r_z \hat{e}_z$
(I'm not sure how to format properly but e should have ^ above it in the equation above)
give the constraint equation for the particle’s motion and state, with explanation, whether it is a holonomic constraint or a non-holonomic constraint.
Also I've never use this site before so if I messed up anything as in tags or anything let me know. I have no idea where to start here so please explain it in as simple terms as you can. Thank you