1. The sphere P travels in a straight line with speed

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Amber Day
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2 1. The sphee P tels in stight line with speed = 10 m/s. Fo the instnt depicted, detemine the coesponding lues of,,,,, s mesued eltie to the fixed Oxy coodinte system. (/134)

3 sin = 10 m/s, 5 m tn 10cos d / s 4 m 4 5,,,,, 0.8 ( ( diection ), 6.4 m diection ) =0 + Constnt speed, = 0 0, 0, , d / s

4 . The slotted m OA foces the smll pin to moe in the fixed spil guide defined by = K. Am OA stts fom est t = p/4 nd hs constnt counteclockwise (ccw) ngul cceletion =. Detemine the mgnitude of the cceletion of the pin P when = 3p/4. (/150)

5 K d ds d, constnt 3p / 4 d = K, m OA stts fom est t = p/4, ngul cceletion constnt (ccw)= Detemine when = 3p/4 K, d d K 4 0 p / 4, 3p p 4 p p K 1 11 pk 4 K 3p 4 K K p K 1 p 1/ 3 1/ p p p K K K , K Kp 4 3p / 4 p K 3p 4 -

6 = K, m OA stts fom est t = p/4, ngul cceletion constnt (ccw)= Detemine when = 3p/ p K pk 4, K 6.40 K K 6.40 K K K 115.6

7 3. The hydulic cylinde gies pin A constnt elocity = m/s long its xis fo n intel of its motion nd, in tun, cuses the slotted m to otte bout O. Detemine the lues, of nd fo the instnt when = 30. (/154)

8 g isosceles tingle mm,, = m/s (cst), detemine when = 30. = 300 mm d / s + cosg cos sin g sin cceletion (3.33) 3.3 (1.73)(3.33) d / s g - g =30 -

9 4. The pticle P moes long the pbolic sufce shown. When x =0. m, the pticle speed is = 5 m/s. Fo this instnt, detemine the coesponding lues of,, nd. Both x nd y e in metes. (/155)

10 when x =0. m, = 5 m/s, detemine,, nd y 4x, x 0. m y 0. tn 4(0.) tn dy dx m 0.56, m (4) x 8x 8(0.) m n + b +t + =58 b cos b 5cos sin b 5sin m / d s / s - dy dx 0. m -

11 5. Duing potion of eticl loop, n iplne flies in n c of dius = 600 m with constnt speed = 400 km /h. When the iplne is t A, the ngle mde by with the hoizontl is b = 30, nd d tcking gies = 800 m nd = 30. Clculte,, nd (/158) fo this instnt.

12 = 600 m, = 400 km /h (cst), b = 30, = 800 m nd = 30, clculte,,, km1000 m 1 h 400 h 1 km s - = 800 m + cos m / s = sin d / s

= 600 m, = 400 km /h (cst), b = 30, = 800 m nd = 30, clculte,,, n =n - 30 60 + 30 = 30 +t n since speed is constnt, t = 0

13 = 600 m, = 400 km /h (cst), b = 30, = 800 m nd = 30, clculte,,, n =n = 30 +t n since speed is constnt, t = t - = = 800 m + n, cos 60 t 0 sin sin (96.)(0.069) d / s, 0.58cos

14 6. A fiewoks shell P fied in eticl tjectoy hs y-cceletion gien by y = -g-k, whee the ltte tem is due to eodynmic dg. If the speed of the shell is 15 m/s t the instnt shown, detemine the coesponding lues of 0.01 m -1. (/16),,,,,. The dg pmete k hs constnt lue of

15 y = -g-k, whee k = 0.01 m -1, = 15 m/s, detemine,,,,,

16 7. When the yoke A is t the position d = 0.7 m, it hs elocity of = m/s towds ight which is incesing t te of 0.6 m/s ech second. Pin P is foced to moe in the eticl slot of the yoke nd the pbolic sufce. Fo the instnt depicted, detemine the elocity nd cceletion of pin P in ) Ctesin Coodintes, b) Noml nd tngentil Coodintes, c) Pol Coodintes.

17 d = 0.7 m, = m/s incesing t te of 0.6 m/s. detemine the elocity nd cceletion of pin P in Ctesin, Noml nd tngentil, Pol Coodintes.

18 8. Pticle P moes long cuiline pth s shown in the figue. At the instnt when = m, = 30, the mgnitude of its elocity is 3. m/s nd the elocity ecto mkes n ngle of b = 60 with the hoizontl. The y-component of the cceletion of pticle P is y = 5 m/s ; its -component is = m/s. Detemine components of the elocity nd cceletion in Ctesin Coodintes, Noml nd Tngentil Coodintes, lso dius of cutue of the pth fo the sme instnt, Pol Coodintes.

19 = m, = 30, = 3. m/s, b = 60, y = 5 m/s ; is = m/s, detemine components of the elocity nd cceletion in Ctesin, Noml nd Tngentil (lso ), Pol Coodintes.

20 9. The peg moes in the cued slot defined by the eqution = 4sin() [m ], nd though the slot in the m. At = 30, the ngul elocity nd ngul cceletion of the m e = d/s nd = 1.5 d/s, espectiely. Detemine the mgnitudes of the elocity nd cceletion of the peg t this instnt, ) in pol coodintes, b) in Ctesin coodintes, c) in noml nd tngentil coodintes. Also detemine the dius of cutue fo this instnt.

21 = 4sin() [m ], = 30, = d/s, = 1.5 d/s, detemine elocity nd cceletion in pol coodintes, ctesin coodintes, noml nd tngentil coodintes. Also.

+ r Position Velocity

+ r Position Velocity 1. The phee P tel in tight line with contnt peed of =100 m/. Fo the intnt hown, detemine the coeponding lue of,,,,, eltie to the fixed Ox coodinte tem. meued + + Poition Velocit e 80 e 45 o 113. 137 d