Two identical wheels are moving on horizontal surfaces. The centerof mass of eac

Question

Two identical wheels are moving on horizontal surfaces. The centerof mass of each has the same linear speed. However, one wheel isrolling, while the other is sliding on a frictionless surfacewithout rolling. Each wheel then encounters an incline plane. Onecontinues to roll up the incline, while the other continues toslide up. Eventually they come to a momentary halt, because thegravitational force slows them down. Each wheel is a disk ofmass 2.3 kg. On the horizontalsurfaces the center of mass of each wheel moves with a linear speedof 5.94 m/s. (a) What is thetotal kinetic energy of each wheel? (b) Determine the maximumheight reached by each wheel as it moves up the incline.
(a) KEr = ---Select---kg-m^2kgNkg-mJ KEs = ---Select---kg-mNkgJkg-m^2
(b) hr = ---Select---kgNJm hs = ---Select---mkgNJ

(a) KEr = ---Select---kg-m^2kgNkg-mJ KEs = ---Select---kg-mNkgJkg-m^2

Explanation / Answer

(c)

   h = PE / m g (rolling wheel)

   h = PE / m g (sliding wheel)

(d)

   the required height will be
   h = 3 v2 / 4 g

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