Frame of Reference (FOR) : Inertial and Non-Inertial (NFOR)
Frame of Reference (FOR) : Inertial and Non-Inertial (NFOR) 1. Frame of Reference (FOR) A frame of reference is a coordinate system along with a clock, relative to which the position, velocity, and acceleration of a particle are measured. Position vector of a particle: \[ \vec{r}(t) = x(t)\hat{i} + y(t)\hat{j} + z(t)\hat{k} \] Without a frame of reference, the concepts of rest and motion have no meaning. Hence, motion is always relative . 2. Relative Motion (Important) Relative position: \[ \vec{r}_{AB} = \vec{r}_A - \vec{r}_B \] Relative velocity: \[ \vec{v}_{AB} = \vec{v}_A - \vec{v}_B \] Relative acceleration: \[ \vec{a}_{AB} = \vec{a}_A - \vec{a}_B \] Velocity and position depend on the frame of reference, while acceleration is invariant between inertial frames. 3. Inertial Frame of Reference (IFOR) An inertial frame of reference is one in which a body remains at rest or moves with uniform velocity in a straight line unless acted upon by ...