A box and a solid cylinder of equal mass M are moving across horizontal surfaces which are joined to ramps, as shown in the figure. The surface on which the box moves is frictionless, but the surface on which the cylinder rolls is not, so that the cylinder rolls without slipping. Both ramps have the same angle of inclination 0. V V If both objects have the same velocites v just as they reach the ramps, what is the ratio of the maximum center- of-mass heights reached by the two objects, hpox/hcyl? 1/2 3/4 2/3 4/3 Now imagine that both ramps are frictionless, and that the box and the cylinder arrive at the start of their ramps with the same initial velocities v. How does the new height, Hcyl,noFriction compare to hBox? O Hcyl,noFriction > hBox O Hcyl,noFriction < hBox O Hcyl,noFriction = hBox

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A box and a solid cylinder of equal mass M are moving
across horizontal surfaces which are joined to ramps, as
shown in the figure. The surface on which the box moves is
frictionless, but the surface on which the cylinder rolls is
not, so that the cylinder rolls without slipping. Both ramps
have the same angle of inclination 0.
V
V
If both objects have the same velocites v just as they reach the ramps, what is the ratio of the maximum center-
of-mass heights reached by the two objects, hpox/hcyl?
1/2
3/4
2/3
4/3
Now imagine that both ramps are frictionless, and that the box and the cylinder arrive at the start of their ramps
with the same initial velocities v. How does the new height, Hcyl,noFriction compare to hBox?
O Hcyl,noFriction > hBox
O Hcyl,noFriction < hBox
O Hcyl,noFriction = hBox
Transcribed Image Text:A box and a solid cylinder of equal mass M are moving across horizontal surfaces which are joined to ramps, as shown in the figure. The surface on which the box moves is frictionless, but the surface on which the cylinder rolls is not, so that the cylinder rolls without slipping. Both ramps have the same angle of inclination 0. V V If both objects have the same velocites v just as they reach the ramps, what is the ratio of the maximum center- of-mass heights reached by the two objects, hpox/hcyl? 1/2 3/4 2/3 4/3 Now imagine that both ramps are frictionless, and that the box and the cylinder arrive at the start of their ramps with the same initial velocities v. How does the new height, Hcyl,noFriction compare to hBox? O Hcyl,noFriction > hBox O Hcyl,noFriction < hBox O Hcyl,noFriction = hBox
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