Newton's Laws of Motion-Reference Frames
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wo inertial frames Sand S' have their axes parallel and the position of the origin Of of frame S' relative
origin of frame S is given by ñ =i+ 2; +3k. Show that, if the position of a point P in frame Sbe
2, 3, 4), its position if frame S' would be (i + ſ + Â).
the respective axes of two frames Sands' be inclined to each other with their origins coincidin
Answers
A frame of reference that is accelerated with respect to an inertial frame of reference is called a non-inertial frame of reference. A coordinate system fixed on a circular disc rotating about a fixed axis with a constant angular velocity
is an example of non=inertial frame of reference. The relationship between the force
experienced by a particle of mass m moving on the rotating disc and the force
experienced by the particle in an inertial frame of reference is <br>
. <br> where
is the velocity of the particle in the rotating frame of reference and
is the position vector of the particle with respect to the centre of the disc. <br> Now consider a smooth slot along a diameter fo a disc of radius R rotating counter-clockwise with a constant angular speed
about its vertical axis through its center. We assign a coordinate system with the origin at the center of the disc, the x-axis along the slot, the y-axis perpendicular to the slot and the z-axis along the rotation axis