In: Physics
Let us consider that there is a circular tray on a table that can rotate in a horizontal plane. Let the wagon start moving in straight direction with an acceleration of 0.5 m / s^2 relative to the ground. Let the tray on the table start rotating at the same time with the angular speed of ω = 2πt. Here, t is in seconds and ω is in radians per second. At this moment, an insect with a mass of m = 0.01 kg v. 0.1 m / s in the radial direction in the direction of the wagon outwards from the center of the tray.
a) In the insect's reference system, find the magnitudes and directions of the forces acting on the insect at t = 1.0 sec. Also find the direction and magnitude of the total force?
b) If the static friction coefficient between the insect and the tray is μ = 0.4, find the approximate distance the insect can travel without slipping?
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