Question

Boxes are transported by a conveyor belt with a velocity vo to a fixed incline at A, where they slide and eventually fall off at B. Knowing that k = 0.45, determine the velocity of the conveyor belt if the boxes are to have zero velocity at B. (Round the final answer to two decimal places.) 20 ft 115 The velocity of the conveyor belt is ft/s V 15

Answer 1

velocity of of coni veyor is equal to the veloce ocity of boxes at A. Applying conservation of energy A & B. FA = Potential energy + kinetic energy of boxes. between points Energy at Energy at B, EB z energy loss due to friction

Now, EA =EB = ngxzosin 15 +1 m ² = Mexxing cos 15x20 ; Namgcosis 532.2 x 20sin 15 t Ivo 2 o =0.45 32.2 cos is 820 2 166.6794 + (vo) T (voja - 279.9253 .. Voc Vo=15.0496 ftls this is the velocity of the conveyor belt.
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