Question

91. *. A wooden plank rests on two soup cans laid Each can has a diameter of 6.5 cm, and the plank is 3.0 tially, one can is placed 1.0 m inward from either end o as FIGURE 10-41 shows. The plank is now pulled 1.0 m to and the cans roll without slipping. (a) How far does the each can move? (b) How many rotations does each can make oup cans laid on their sides. and the plank is 3.0 m long. Ini- from either end of the plank, is now pulled 1.0 m to the right, ing. (a) How far does the center of 11.0 m 3.0 m

please explain how the distance is 0.50m, every other post on here says that the distance is 0.50m but don't explain how they got it.

Answer 1

(a) When the cans are performing rolling motion without slipping, the topmost point of roller has twice the acceleration than the acceleration of its center of mass. Therefore, now since the plank is kept at the topmost point of the roller, the plank undergoes twice acceleration than the acceleration of the roller.

Therefore, distance travelled by the plank must be twice that of the roller.

Since distance travelled by plank is 1m, the distance travelled by roller must be 0.5 m

(b) No. of Rotations of can osm 22x 3.25x 10-2 = 2.u5 revolutions Auswer