KINEMATICS OF RIGID BODIES RELATIVE VELOCITY RELATIVE ACCELERATION PROBLEMS
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1 KINEMTICS F RIGID DIES RELTIVE VELCITY RELTIVE CCELERTIN PRLEMS
2 1. The crculr dsk rolls o he lef whou slppg. If.7 m s deerme he eloc d ccelero of he ceer of he dsk. (516)
3 .7 m s??
4 . The eloc of roller s = 0.5 ms o he rgh s show d hs eloc s momerl decresg re of ms. Deerme he correspodg lue of he gulr ccelero of br s well s he gel ccelero of roller log he crculr gude. The lue of R s 0.6 m. (5146)
5 = 0.5 ms decresg re of ms. Deerme he correspodg lue of he gulr ccelero d gel ccelero of roller log he crculr gude R = 0.6 m.
6 3. 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. (5149)
7 = 3 ms (cs) d. 0.5cos60= cos60 s r k rd s 0.5 m 1. m 1.17 m 4.38 m s
8 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.
9 = 3 ms (cs) d. 0.5cos60= r k cos60 s cos s rd s m s
10 4. The elemes of smplfed clm-shell bucke for dredge re show. Wh he block 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.
11 se heorem 600 s 67.5 C s C C block 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 0 r k C C C 0.5 m s C r C Ck 0.5cos.5 0.5s C 460 mm mm = C C =.5
12 38.94 mm rd s 0 block 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 C C C 0.5C C 0.69C C C C rd s r 0.36 k 0.36 k m s r k = C mm mm C =.5
13 38.94 mm C C C C C C C C C block 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 C C C C C C C 0.11 rd 0.75 s C 1.1 C C = C mm mm C =.5
14 5. 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. (5154)
15 r rd s = 60 rem (cs) deerme he ccelero of he blde for q = 90? 0 = 60 rem (cs) = 6.8 rds 0.68 k ( cw) 6.8k m s ( )
16 = 60 rem (cs) deerme he ccelero of he blde for q = 90? s m k k r k r s m k k r
17 = 60 rem (cs) deerme he ccelero of he blde for q = 90? rd s 4.88 m s
18 6. I he mechsm show he fleble bd F s ched E o he rog secor d leds oer he gude pulle G. Deerme he gulr ccelero of lk f he bd hs cos speed of ms s show. (5148)
19 =?
20 7. 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.
21 r C s cm k r k r C C C s 60 8cos Deerme d
22 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
23 8. The dsk wh rdus r = 0 mm rolls o he smooh horzol surfce whou slppg wh gulr eloc of d = 3 rds (ccw). Ed of rod (legh l = 500 mm) s fed o he dsk. Ed D of rod D (legh l D = 350 mm) s fed o he collr whch c slde freel o he shf. he s show he eloc of collr D s cos d dreced dowwrds wh mgude of D = 8 ms. lso hs s he ccelero of he ceer of he dsk hs mgude of = 1.76 ms dreced o he lef. Deerme he gulr eloces of rods d D ( D ) d he gulr cceleros of rods d D ( D ) hs s. Tke r 0 = 180 mm q = = 60 g = 45.
24 r = 0 mm d = 3 rds (ccw) l = 500 mm l D = 350 mm D = 8 ms (cos) = 1.76 ms. Deerme he gulr eloces of rods d D ( D ) d he gulr cceleros of rods d D ( D ) hs s. Tke r 0 = 180 mm q = = 60 g = 45.
25 9. I he mechsm show collr C follows curler ph defed bq b R [m] where q s rds d b = he s show he rdus of curure of he ph followed b C s r = 0.8 m d he eloc of C s C = ms whch s cresg re of 3 ms. gles = 1 d = 7. Deerme he gulr cceleros of brs d C for he s represeed.
26 I he mechsm show collr C follows curler ph defed b bq R [m] where q s rds d b = he s show he rdus of curure of he ph followed b C s r = 0.8 m d he eloc of C s C = ms whch s cresg re of 3 ms. gles = 1 d = 7. Deerme he gulr cceleros of brs d C for he s represeed.
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