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A rotating disc moves in the positive di...

A rotating disc moves in the positive direction of `x`-axis as shown. Find the equation `y(x)` describing the position of the instantaneous axis of rotation if at the initial moment the centre `C` of the disc was located at origin after which
a. it moved with constant acceleration a (initial velocity zero) while the disc rotating anticlockwise with constant angular velocity `omega`. b. it moved with constant velocity `v` while the disc started rotating anticlockwise with a constant angular acceleration a (with initial angular velocity zero).

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