Question

3. 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 WK = 0.5, 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.) W 20 ft 150 The velocity of the conveyor belt is ft/s 15°

Answer 1

Page Ffi Date =l 1 h vit 150 Vo= Initial vi= final veloury zo velourg h= height of Conveyer. APPY Conservation of energy 2 HET MEU Mgn & lm v² = Imv, 2 2 2 Normal force on block = MG Mg lose. h= lx sin u5)=208S1015) 5.176 Vi=0 l=25ft Putting the values In equation 2 sigh 2 2 2 tro²- und z tmy Mign + Invo?-u ugly sose 3 0 2 z ugloson-gh 1² = ug cosond-gh 2

g= 32.17 ft/s2 = 26 Mycosol - gh) 2 (ugosodigh kok Vo = 2x(0.45 x 32-11 y Los (15) 20 32.11x5.176 15.04 fils Ansa Voz 15.04 tis