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In the car there is a circular tray that can rotate in horizontal plane above the...

In the car there is a circular tray that can rotate in horizontal plane above the seat. Let the car start moving in straight direction with acceleration of 0.5 m/s^2 relative to the ground. The tray on the seat starts to rotate simultaneously with the angular velocity ω = 2πt. At this moment, a mass of m = 0.01 kg the spider starts moving in the radial direction outward from the center of the tray with V = 0.1 m / s (t=second, w=rad/sec.). The magnitude of the forces acting on the spider in the spider's reference system. Find the directions at t = 1.0 sec. and the direction of the total force and find the size. If the static friction coefficient between the spider and the tray is µ = 0.2, find the maximum distance it can travel without slipping.

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