GATE XE (Engineering Sciences) 2024 - Question 63

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Section: Solid Mechanics | Type: NAT | Marks: 2

A turn-table is rotating about its center with an angular velocity of 2 rad/s in the counter-clockwise direction. There is a groove in the turn-table within which a marble moves with a constant speed v m/s relative to the turn-table. At a given instant, the marble is at a radial distance of 1 m from the center and the line joining the center of the turn-table with the marble makes an angle of 30° with the groove. The value of v (in m/s, rounded off to one decimal place) for which there is no radial acceleration for the marble at this instant is _____.

Figure for question 63, GATE XE (Engineering Sciences) 2024

Answer: 1.9 to 2.1

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