Question

Sphere A has a weight of 48 lb and a radius of 2 in., while sphere B has a weight of 9 lb and a radius of 2 in. If the spheres are traveling initially along the parallel paths with the speeds shown, determine the velocities of the spheres immediately after impact. Specify the angles 0A and e with respect to the x-axis made by the rebound velocity vectors. The coefficient of restitution is 0.75 and friction is neglected. Enter positive numbers for the angles0 A 13 ft/sec 37 ft/sec Answers: ft/sec, eA= i i VA= ft/sec, eB i VB

Answer 1

Considu the elocy diaram of Sphunys aft inact VA A 2t2 4 in. A 2 3.46

Congidu momtu consation fos H o farntidyt in nasmal diruction is cxpruid 4 252.00 Cosoq coso Confervalionn of mamsling fos cach sphure tantential- dirucio i cxpd as 252.0o 48 + Spr-8 Sphore-A (VA Sineg=V Sinoa Sinog VB Sino Sivno's Stnog= 37 = - 18.S Sin co-efficnt of ulalion ia Now, congid cxfusted as Vain-Ven O.15 t6-5 -18.5) casog- cos CoSog 18.7S + V cosop 4 18.75 fo 2 52.00C S VCoso +9(18-75+Cosoa)

5 VA Cose 83.250 83.250 Cosea fonom cosog 18.75 4o 20.2106 Cosog= Th ulamt locl of Sphre impact afos A Cose Sino Ve VA ata The sutamt locy of Sphur 6 napact iA (cose eo.2l06) (S.81-2 27.399 Fs Va' - fon on (3) fno Sinog Sinog 6.5 -18. S Va Sinch 6.S VA SimoA -18.5 27.399 OBSivi G.S G.C62 -42.410 dASin 7.338 A =

the anu O and ith nspect made by the ubomd loct delimire K-axih Vectosr Sphure Spure-A A .42.470-3o - 72.410 A=T.338- 30 47.338 SA -