Coated Grinding Disc

December 31, 2009 By Leave a Comment

Coated Grinding Disc
Coated Grinding Disc 2 Coated Grinding Disc

Circular Motion on a merry go round?

Two identical twins, Jena and Jackie, are playing one December on a large merry-go-round (a disk mounted parallel to the ground on a vertical axle through its center) in their school playground in northern Minnesota. Each twin has a mass of 29.1 kg. The icy coating on the merry-go-round surface makes it frictionless. The merry-go-round revolves at a constant rate as the twins ride on it. Jena, sitting a distance 1.86 m from the center of the merry-go-round, must hold on to one of the metal posts attached to the merry-go-round with a horizontal force of 62.0 N to keep from sliding off. Jackie is sitting at the edge, a distance 3.55 m from the center.

With what horizontal force must Jackie hold on to keep from falling off?

F = m . w^2 . r

62 = 29.1 . w^2 . 1.86

w^2 = 62 ÷ (29.1 . 1.86 ) = 1.15 (ignore units)

Jackie

F = 29.1 . w^2 . 3.55 = 118.3 N

= 118 N

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