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The questions are based on the paragraph
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
ω is an example of a non-inertial frame of reference. The relationship between the force
rot experienced by a particle of mass m moving on the rotating disc and the force
in experienced by the particle in an inertial frame of reference is
rot=in(rot×)+m(×)×where
rot is the velocity of the particle in the rotating frame of reference and
is the position vector of the particle with respect to the center of the disc.
Now consider a smooth slot along a diameter of a disc of radius R rotating counter-clockwise with a constant angular speed
ωabout 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
(ω=ω).A small block of mass m is gently placed in the slot at
= at
t=0 and is constrained to move only along the slot