This preview shows page 1. Sign up to view the full content.
Unformatted text preview: D =3 k ; v P =(3 k )x10 i = 30 j a P = D k x10 i D 2 10 i = 90 i v P = v O + T k x(15 i ) + v rel { i + j }/ 2 =15 T j +v rel i / 2 + v rel j / 2=30 j a P = T k x(15 i ) T 2 (15 i) + 2 T k x v rel + a rel { i + j }/ 2 =90 i = 15 T j +60 i+ a rel i / 2 + a rel j / 2 v rel =0; T =2 a rel =150 2; T =10 v C = 16 i +30 j ; v A =8 S i ; v C = v A + R k x 15 i or 16 i + 30 j = 8 S i+15 R j => R =2 ; S =2 a C = (34 2 /17){15 i8 j }/17 = 60 i32 j a A =8 S i S 2 (8 j )= 8 S i32 j a C = a A + R k x 15 i R 2 ( 15 i) 60 i32 j = 8 S i32 j +15 R j60 i => S =15 ; R =0 v Q = shaft k x R j =(3 k x 3 j ) = 9 i cm/sec v P = 0 (P is ICR of Ball) => v Q = v P + Ball k x (2r j ) or 9 i = 2r Ball i => Ball = 4.5 => v C = v P + Ball k x (r j ) = 4.5 i cm/sec Speed of C is constant; Cs path is circular, with radius = R + r = 4cm => a C = e n v C 2 / = (4.5) 2 /4cm = 5.06 j cm/sec 2...
View Full
Document
 Spring '10
 richard

Click to edit the document details