A wheel with a radius of 36 cm rolls without slipping along a horizontal floor (

Question

A wheel with a radius of 36 cm rolls without slipping along a horizontal floor (see the figure). At time t1 the dot P painted on the rim of the wheel is at the point of contact between the wheel and the floor. At a later time t2, the wheel has rolled through one-half of a revolution.

What is the magnitude of the displacement of P during this interval?


Angle of the displacement of P during this interval?


x-component of the displacement of P during this interval?


y-component of the displacement of P during this interval?

Explanation / Answer

It rolled 2 1/2 revolutions (each being one circumference distance) so that is 169.6 x 2.5 = 424.1 cm displacement.

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