Question

The cable C of the pulley in Figure Q5 has initial velocity of 350 mm/s and constant

acceleration of 275 mm/s2 that directed to the right. The inner radius of pulley that

connected to the cable C is 80 mm while the radius of the outer pulley that connected

to the load B is 115 mm.

(a) Find the number of revolution when ? = 5 s.

(b) Calculate the velocity and change in position of the load B after 5 s.

(c) Determine the magnitude and direction of total acceleration of point D at inner pulley.

(d) Describe the function of double pulley in this system.

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Answer 1

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son 3 Yadly of inner pulley Vi = 80mm outer pulley , ro = 115mm Vc = 350 mm/s. ac = 275 mm/s2 Intial Io notational speed of pulley (W), Ve = wri w = = 360 = 4.375 ved]s. angulen auderdo (8) X= 0 = 215 = 3:434 ved52. usly t=5 sec wo=4.375 ralls d=8.437 &ad/su who wowot at = 4.375 +3.43775 [w = 21.56 ralls. Inhal velocity of load (which is equal to velocity of cable at outer pulley) Vi = wro 4.3758115 Vi = s03. 12 mms

final velocity after s sec V = wro = 21.56x115 = 2479. 4 ta mm/s. Tvf = 2479.4 mm/s. charge in acceleration a= ut vi = 2479.4 – 508:12 t 5 a=395.25 mm/s change in position, I V²_u² =2as. (5) s= 2479.42 503./22 2x395.25 [sz 7456.8mm o at point & entrabutal accolation will a toward the centre aren = worri = 4.3752x80 acen= 1531.25 mulsh alen = ac Aargentel anderation, ac=275 malgr. Total audonation a=Jachtain a = 1555.75 mm/s. o = tant ac aren. 10=10.180 9 Double печи Pulley increase the velocity & acceleration яе от Torqe Үсячі гасч and