KINEMTICS OF RIGID ODIES RELTIVE VELOCITY RELTIVE CCELERTION PROLEMS
1. The crculr dsk rolls o he lef whou slppg. If.7 m s deerme he eloc d ccelero of he ceer O of he dsk. (516)
.7 m s O? O?
. The ed rollers of br re cosred o he slo show. If roller hs dowwrd eloc of 1. ms d hs speed s cos oer smll moo erl deerme he gel ccelero of roller s psses he opmos poso. The lue of R s 0.5 m. (5133)
= 1. ms (cs) =? R = 0.5 m
3. The hdrulc clder mprs moo o po whch cuses lk O o roe. For he s show where O s ercl d s horzol he eloc of p s 4 ms d s cresg he re of 0 ms. For hs poso deerme he gulr ccelero of O. (5138)
= 4 ms = 0 ms. Deerme he gulr ccelero of O.
4. he s represeed he eloc of po of he 1. m br s 3 ms o he rgh d s cos for erl cludg he poso show deerme he gel ccelero of po log s ph d he gulr ccelero of he br. (5140)
= 3 ms (cs) d. 0.5cos60=0.5 0.5 3 cos60 s 60 0.5 0.866 r k 1.17 0.5 0.866 0.866 0.5 1.35 0.50 1.17 0.5 3 1.17 0.5 1.17 3 0.5 0.5 30 60 3.4 1.35 rd s 0.5 m 1. m 1.17 m 4.38 m s
30 0.5cos60=0.5 0.5 0.50 60.6 1.8 1.60 1.(3.4) 0.5 1.17 3.4 3.4 19.185 33.3 38.37 s 30 38.37 cos30 38.37 0.5 4.38 s 30 cos30 s 60 cos60 s m r or k k r s m r 0 = 3 ms (cs) d.
= 3 ms (cs) d. 0.5cos60=0.5 0.50 0.5 30 60 r 33.3 19.185 k 1.17 0.5 1.17 0.5 cos60 s 60 1.8.6 1.17 0.5 33.3 19.185 36.4 cos60 1.8 0.5 s 60.6 1.17 rd s 19.185 36.9 0.433.6 1.17 58.095 3.78 m s 41.9 0.5
5. The elemes of smplfed clm-shell bucke for dredge re show. Wh he block O cosdered fed d wh he cos eloc of he corol cble C equl o 0.5 ms deerme he gulr ccelero of he rgh hd-bucke w whe q = 45 s he bucke ws re closg. (5148)
se heorem 600 s 67.5 C 50.34 0.5 0.46 500 s C O C block O cosdered fed C =0.5 ms (cs) deerme he gulr ccelero of he rgh hd-bucke w whe q = 45 s he bucke ws re closg 380 mm C O O O 0 O O r O Ok 0.46 0.38 0.46O 0.38O C C C 0.5 m s C r C Ck 0.5cos.5 0.5s.5 0.19 C O 460 mm 67.5 600 mm 0.46 0.19 = 45 67.5 C O C O =.5
38.94 mm rd s 0 block O cosdered fed C =0.5 ms (cs) deerme he gulr ccelero of he rgh hd-bucke w whe q = 45 s he bucke ws re closg O C 0.46O 0.38O 0.5 0.46C 0.19 0.38O 0.19C O 0.5C 0.46 O 0.5 0.46C 0.69C 0.5 0.5 C C 0.75 O O O O O O O O 0.0604 0.0500 O 0.36 C rd s r 0.36 k 0.36 k 0.46 0.38 O O O O 0.0604 0.0500 m s O r O Ok 0.46 0.38 0.46 O 0.46 0.38 O O 0.38 O 0.167 0.138 = 45 O 67.5 C 50.34 600 mm 461.91 mm O C O =.5
38.94 mm C C C C C C C C C 0.0604 0.38 0.0500 0.46 O block O cosdered fed C =0.5 ms (cs) deerme he gulr ccelero of he rgh hd-bucke w whe q = 45 s he bucke ws re closg r 0.75k 0.75k 0.46 0.19 1.1 0.1 rd 0 C 0.0604 0.05 m s C r C Ck 0.46 0.19 C C s 0.46 0.19 C C 0.0604 0.05 0.46 O C C C O C 0.0604 0.46 0.05 0.46 O C C 0.167 0.069 0.19 C 0.11 rd O 0.75 s C 1.1 C C 0.075 = 45 67.5 C O 50.34 600 mm 461.91 mm O C O =.5
6. The elemes of power hcksw re show he fgure. The sw blde s moued frme whch sldes log he horzol gude. If he moor urs he flwheel cos couerclockwse speed of 60 rem deerme he ccelero of he blde for he poso where q = 90 d fd he correspodg gulr ccelero of he lk. (5153)
O O r = 60 rem (cs) deerme he ccelero of he blde for q = 90? = 60 rem (cs) = 6.8 rds O 0 6.8k 0.68 k 0.439 0.1 0.68 0.439 0.1 0.68 0.439 0.1 O O O 0.1 0.68 450 439 100 0 0.68 0.439 1.43 rd s ( cw) 0.1 0.143 m s ( )
= 60 rem (cs) deerme he ccelero of he blde for q = 90? 450 100 439 = 60 rem (cs) = 6.8 rds 0.68 0 3.94 0.1 6.8 6.8 0 s m k k r O O O O O O O O O O k r s m k k r 0.1 0.439 0.143 0.68 0.1 0.439 0.04 0.898 0.1 0.439 1.43 1.43 3.94
3.94 0.898 0.04 0.439 3.94 0.898 0.1 4.838 0.1 0 0.04 0.439 = 60 rem (cs) deerme he ccelero of he blde for q = 90? = 60 rem (cs) = 6.8 rds 0.1 450 439 100 0.465 rd s 4.88 m s
7. The crk O of he offse slder-crk mechsm roes wh cos clockwse gulr eloc 0 = 10 rds. Deerme he gulr ccelero of lk d he ccelero of for he depced poso. (5151)
0 = 10 rds (cs) =? =?
8. I he mechsm show he fleble bd F s ched E o he rog secor d leds oer he gude pulle. F s ge cos eloc of 4 ms s show. For he s whe D s perpedculr o O deerme he gulr ccelero of D. (5154)
E = 4 ms (cs) D perpedculr o O deerme he gulr ccelero of D.
9. ge s he ger hs he gulr moo show. Deerme he cceleros of pos d o he lk d he lk s gulr ccelero hs s.
Deerme d s cm k r k r C C C 6 6.93 6 0 4 0 6.93 4 6 6.93 4 6 8s 60 8cos60 6 6 6 6 6.93 4 0 r C
r C Deerme d 73 7 1 36 1 108 (1)(36)6 (1)(1) 3(36) s cm r r r C C 6.93 4 0 11.74 11.74 6.93(18) 1 ) ( 18 4 7 0 6.93 4 7 1 6.93 4 s cm s cm cw s rd k r r
10. Slder moes prbolc slo wh speed ccelero s s = 3 ms d = 1 ms he s show. Clder E whch roes bou horzol s pssg hrough O s coeced o slder b rod. Po s fed o he ouer rm of clder. Deerme he gulr cceleros of he clder E d rod. lso fd he bsolue ccelero of po for hs s.
s For slder = 3 ms d = 1 ms. Po s fed o he ouer rm of clder. Deerme E. s