A 2.60-kg hoop 1.60 m in diameter is rolling to the right without slipping on a horizontal floor at a steady 2.60 rad/s. (a) How fast is its center moving? (b) What is the total kinetic energy of the hoop? (c) Find the magnitude and direction of the velocity vector of each of the following points: (i) the highest point on the hoop; (ii) the lowest point on the hoop, (iii) a point on the right side of the hoop, midway between the top and the bottom.

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Problem 1
A 2.60-kg hoop 1.60 m in diameter is rolling to
the right without slipping on a horizontal floor
at a steady 2.60 rad/s. (a) How fast is its center
moving? (b) What is the total kinetic energy of
the hoop? (c) Find the magnitude and direction
of the velocity vector of each of the following
points: (i) the highest point on the hoop; (ii)
the lowest point on the hoop, (iii) a point on the
right side of the hoop, midway between the top
and the bottom.
Transcribed Image Text:Problem 1 A 2.60-kg hoop 1.60 m in diameter is rolling to the right without slipping on a horizontal floor at a steady 2.60 rad/s. (a) How fast is its center moving? (b) What is the total kinetic energy of the hoop? (c) Find the magnitude and direction of the velocity vector of each of the following points: (i) the highest point on the hoop; (ii) the lowest point on the hoop, (iii) a point on the right side of the hoop, midway between the top and the bottom.
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