A proposed conveyor system is modeled as a plate of mass M moving without slippi
ID: 1863107 • Letter: A
Question
A proposed conveyor system is modeled as a plate of mass M moving without slipping on small cylindrical rollers of mass m and radius r. Determine the speed of the plate after it has moved a distance l, starting from rest, along an inclined plane. Consider (a) free rollers, and (b) rollers freely rotating about fixed axes. Assume the plate is on three rollers at all times as it moves a distance l.
A proposed conveyor system is modeled as a plate of mass M moving without slipping on small cylindrical rollers of mass m and radius r. Determine the speed of the plate after it has moved a distance l, starting from rest, along an inclined plane. Consider (a) free rollers, and (b) rollers freely rotating about fixed axes. Assume the plate is on three rollers at all times as it moves a distance l.Explanation / Answer
speed of plate = v+rw, v = speed of centre of mass of spheres.
Since rotating without slipping, v = rw
speed of plate = 2v
v = sqrt(2*gsin(theta)*l)
a) speed of plate = 2*sqrt(2*gsin(theta)*l)
b) speed of plate = sqrt(2*gsin(theta)*l)
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