KINEMTICS F RIGID DIES RELTIVE VELCITY RELTIVE CCELERTIN PRLEMS
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)
.7 m s??
. 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)
= 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.
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)
= 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
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.
se heorem 600 s 67.5 C 50.34 0.5 0.46 500 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 0.46 0.38 0.46 0.38 C C C 0.5 m s C r C Ck 0.5cos.5 0.5s.5 0.19 C 460 mm 67.5 600 mm 0.46 0.19 = 45 67.5 C C =.5
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 0.46 0.38 0.5 0.46C 0.19 0.38 0.19C 0.5C 0.46 0.5 0.46C 0.69C 0.5 0.5 C C 0.75 0.0604 0.0500 0.36 C rd s r 0.36 k 0.36 k 0.46 0.38 0.0604 0.0500 m s r k 0.46 0.38 0.46 0.46 0.38 0.38 0.167 0.138 = 45 67.5 C 50.34 600 mm 461.91 mm C =.5
38.94 mm C C C C C C C C C 0.0604 0.38 0.0500 0.46 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 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 C C C C 0.0604 0.46 0.05 0.46 C C 0.167 0.069 0.19 C 0.11 rd 0.75 s C 1.1 C C 0.075 = 45 67.5 C 50.34 600 mm 461.91 mm C =.5
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)
r 0 0.680.439 1.43 rd s = 60 rem (cs) deerme he ccelero of he blde for q = 90? 0 = 60 rem (cs) = 6.8 rds 0.68 k 0.439 0.1 0.68 0.439 0.1 0.68 0.439 0.1 ( cw) 6.8k 0.1 0.68 450 439 100 0.1 0.143 m s ( )
= 60 rem (cs) deerme he ccelero of he blde for q = 90? 450 100 439 0.68 0 3.94 0.1 6.8 6.8 0 s m k k r 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
= 60 rem (cs) deerme he ccelero of he blde for q = 90? 3.94 0.898 0.04 0.439 0.1 3.94 0.898 0.1 0 4.838 0.1 0.04 0.439 0.465 rd s 4.88 m s
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)
=?
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.
r C 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 Deerme d
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
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 = 36.87 = 60 g = 45.
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 = 36.87 = 60 g = 45.
9. I he mechsm show collr C follows curler ph defed bq b R [m] where q s rds d b = 0.544. 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.
I he mechsm show collr C follows curler ph defed b bq R [m] where q s rds d b = 0.544. 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.