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exam1_soln_fall01 - Name Section& LU/l Col SSN EGN 3321...

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Unformatted text preview: Name: ' Section: & LU /l\ Col SSN: EGN 3321: DYNAMICS FALL 2001 EXAM #1 l. (30 points) A ball is dropped onto a step at point A and rebounds with a velocity v0 at an angle of 15° with the vertical. Determine the value of vo knowing that just before the ball bounces at point B its velocity VB forms an angle of 12 ° with the vertical. NOTE: The difference in height between points A and B is given! The horizontal distance between the two points is not needed in solving the problem! «3? i A: We 42“”, 31 N3 (‘20 8., 1- v0.2!» $2050): %W<‘°2'V53E71° (I) ’VGCQIJ: vim/Sewg/f Q2) 4 z 942/1;— z_0, c3 7/ -%§— 1 ) E 3 make/4mm ”2470/3Jfi .90.? ”’6 z (Yo XQMS” 8642" C2) K o If”: g " can/2 We 8% x ___> % 90/er 43A}, ,Z‘.’_ + ___.’{ I ‘L g a 0"“ 2 792’ . (3 , J: (ca/gm M 2.2 Kai/2° .0 x 2-“ “L ,.,, _ W 15‘ Yifimrudlijf "a. fib(mlf+%9; 066) tau/2° f) 3 7) Wefiw V, ”V0 2 92$} 10/3 ma é—— <2 Ppoeuen 11H 2. (30 points) Each of the systems shown is initially at rest. Neglecting axle friction and the masses of the pulleys, determine for each system: (A) the acceleration of block A, (B) the velocity of block A afieir it has moved through 10 ft. (.22...) -T+\X/A,=_mkak {WI rams 5) N2¢W +2aL ' > k /OZ/ k a”? (3% Amzkogkca’we‘”) ‘Vk‘anAAam firm MKQA‘ “A 2 M 0m 4k 2 Zoo-’loo SYS‘I‘én 3 a) amen/was ‘- S Tea‘fi'479/ \J‘ZHq ok+ar$20 <——o ilQ/k‘zlo$‘5 (O Meme 12w: if 2:; ~ :1 2% - W ’T" ’U‘LA’QA CZ E £290 02» [k ) Wk W 33‘ Kg WW-a ‘2 U \x/g, m ”W5+ ' ‘ ”‘60” 1%on u .453 3. (30 points) A satellite will travel indefinitely in a circular orbit around a planet if the normal component of the acceleration of the satellite is equal to g(R/r)2 , where g is the acceleration of gravity at the surface of the planet, R the radius of the planet, and r is the distance from the center of the planet to the satellite. Determine the speed of a satellite relative to the indicated planet if the satellite is to travel indefinitely in a circular orbit 160 km above the surface of planet Venus: g = 8.53 III/s2, R = 6161 km. 598.53 cal/51 R2 616! bk“, )4 2/40 15w— 5 4.72363; ”Van-'7 (I): é/é/l’q’ 8'6’175‘; . 3609} 2 238;:(05 % (6/6/ + ’60) 402% (6" —-— #st ...
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