KINEMATICS OF RIGID BODIES RELATIVE VELOCITY RELATIVE ACCELERATION PROBLEMS
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1 KINEMTICS OF RIGID ODIES RELTIVE VELOCITY RELTIVE CCELERTION PROLEMS
2 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)
3 .7 m s O? O?
4 . 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)
5 = 1. ms (cs) =? R = 0.5 m
6 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)
7 = 4 ms = 0 ms. Deerme he gulr ccelero of O.
8 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)
9 = 3 ms (cs) d. 0.5cos60= cos60 s r k rd s 0.5 m 1. m 1.17 m 4.38 m s
10 30 0.5cos60= (3.4) s cos s 30 cos30 s 60 cos60 s m r or k k r s m r 0 = 3 ms (cs) d.
11 = 3 ms (cs) d. 0.5cos60= r k cos60 s cos s rd s m s
12 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)
13 se heorem 600 s 67.5 C 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 O 0.38O C C C 0.5 m s C r C Ck 0.5cos.5 0.5s C O 460 mm mm = C O C O =.5
14 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 C O 0.19C O 0.5C 0.46 O C 0.69C C C 0.75 O O O O O O O O O 0.36 C rd s r 0.36 k 0.36 k O O O O m s O r O Ok O O O 0.38 O = 45 O 67.5 C mm mm O C O =.5
15 38.94 mm C C C C C C C C C 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 rd 0 C m s C r C Ck C C s C C O C C C O C O C C C 0.11 rd O 0.75 s C 1.1 C C = C O mm mm O C O =.5
16 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)
17 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 O O O rd s ( cw) m s ( )
18 = 60 rem (cs) deerme he ccelero of he blde for q = 90? = 60 rem (cs) = 6.8 rds s m k k r O O O O O O O O O O k r s m k k r
19 = 60 rem (cs) deerme he ccelero of he blde for q = 90? = 60 rem (cs) = 6.8 rds rd s 4.88 m s
20 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)
21 0 = 10 rds (cs) =? =?
22 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)
23 E = 4 ms (cs) D perpedculr o O deerme he gulr ccelero of D.
24 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.
25 Deerme d s cm k r k r C C C s 60 8cos r C
26 r C Deerme d (1)(36)6 (1)(1) 3(36) s cm r r r C C (18) 1 ) ( s cm s cm cw s rd k r r
27 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.
28 s For slder = 3 ms d = 1 ms. Po s fed o he ouer rm of clder. Deerme E. s
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