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1) a) Find the trajectory traced by a point on the circumference of a disc of radius R rolling ( without slipping ) on a

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1) a) Find the trajectory traced by a point on the circumference of a disc of radius R rolling ( without slipping ) on a flat surface with angular speed w . ( The curve is called a cycloid , don't google without attempting to figure it out on your own first , please ! b) Show that the distance travelled by a point on the Circumference in one full rotation is &R

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