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Solutions for Joint Kinematics HW Set #11

# Solutions for Joint Kinematics HW Set #11 - ME 270 — Fall...

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Unformatted text preview: ME 270 — Fall 2009 joint Kinematics Homework Set #1 Due: Wednesday, November 1 1 Problem No. 1 The position ofa particle is given by r = [3t2 — 2t) i-[4t1/2 + t)j [in meters], where t is in seconds. Determine the speed, rate ofchange ofspeed and radius ofcurvature of the path ofthe particle at t = 2 seconds. Problem No. 2 A particle moves along the curve y = x — x2/400, where x and y are in ft. [fthe velocity component in the x-direction is vx = 2 ft/sec = constant, determine the speed, rate ofchange ofspeed and radius ofcurvature ofthe path of the particle when x = 20 ft. Problem No. 3 A peg moves in the curved slot defined by the lemniscate r2 = 4sin[29], and through the slot in the arm. At 6 = 30°, it is known that dB/dt = 2 rad/sec and dZG/dt2 i 2 rad/sec? Determine the x- andy-components ofthe velocity and acceleration ofthe peg P at this instant. r1 1-! sin 2 ﬁlm? ( \$7? 0:221)“ (0 3 7i " “' 02346 . hmmum.w__w w "ugh—m.— n:— 13’ 2 5. ‘74- W/sz' E 3214' KIMMuI‘MSﬁi W Nov. 1 (PROM-“EM #2— P: 7'2? Ttgd‘i: 074—3 61 3 :3: com 4:; a“ 4* gig?" .' 1;; _. 2.. ' ._ -______. 2'3- 4, g Z5?) v 200 (Z) 0 Olaf: Flu—- an :- 7%1/«3QL : UL: (219le = 4851 75+} (3 f’ LemniSCa-E) WZ=4SM(253 M2" @930” , érama/s é: 2. For] /\$2— FWD : CL) To: {In I F Coowﬂs. \$m+ Kimdxn it W205. Nov- (Pioﬁuim th 3/3 b) a; (E, rgﬂﬁn +(r (3 + Z‘Fé W /Z/(W: +91) .2 gigong L5)+(—sim2é)()@ 1* = 4 cage <2? - %ié:7::.,é§3i:£3532" m .._.u- Wm W‘W‘“ ...
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