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e1_00m_s - ME 364 Kinematics NAME 50L(2 7/0 W Summer Term...

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Unformatted text preview: ME 364 - Kinematics NAME 50L (2 7/0 W Summer Term, 2000 Exam 1, 100 Points, Open Book 1. (15 Points) The quick return mechanism below is sho 11 one half of full size. he crank‘(link 2) is rotating counterclockwise at a rate of 20 radians per second. Determine t e velocity of slider 6, the angular velocity of link 5, and the linear velocity of point B. Be sure to include both magnitude and direction. 3% t (a) V6 = MCWM) (b) 035 = 579/4é L) (c) vB = . 7 M; 1' (WI/s) (a) I, 02, a V‘ t 1/016 - 14”“ wk " (30x1 “)620) : I Mama/g e (b) /,.2,f V0.1; : pm air “’a : (37” ml) )0 : MWM/F/ l/ - ﬂ/fﬂ , a (1/ : _ 012., g v 9'7érau/ 1:) 5 ”/5447 (”5’”) Z (c) M90 ’11,; {/1}: 5;]; (ofzéﬂnxalﬁu): 67%y51/ Diem—2)~a(€+0)_1(1)'1(0) ' WW " '4('*’)"(3)"(U : /5'~l1—I = 1 - mag—1),; (ﬂay/(”4(0) = ?' {"3 ‘/ ; = 1.1— m—/ :I ‘ MAE 364 - Kinematics, Summer, 2000 Exam 1 Page 2 3. (15 Points) Determine the locations of all of the instant centers in the mechanism below. Clearly identify the location and identity of each one. Location accuracy is part of the grade. are #‘x W m ‘ M‘Qﬁ 4. (10 Points) Determine the velocity (in inches per second) of the follower in the cam mechanism shown. The mechanism is shown full Vfollower = ﬁ—in/sec 7‘ VIM/0W : V? : {/ﬂd3 = 01.10» w; : (.MWM 510%3’ ‘ : .éf”(ei,r3M/s) ‘ ‘I‘ﬂﬁ’l‘n/S ’ﬂ MAE 364 - Kinematics, Summer, 2000 Exam 1 Page 3 5. (15 Points) The part shown is made from a ﬂat piece of steel (density = 8000 kg/m3) which is 10 mm thick. Determine the mass moment of inertia about an axis perpendicular to the paper through point G. @ ms; , V,=(.06)(./6)(.0/)= .0000?éa M: ,7é5’Kj ‘ J (‘7' (\$465): '—,7:/‘?(/éoa+é09= H12)? 194,,“ 1" 7? all dimensions inmm I (£124 111,]; - : @ V2 5 60711741100 - . 0000/6 n *— MW 0 W =3‘U 19"" 13: gftaum ,d (5‘ + ) m: .7é5’-3(/J\$) @ 72 g a; (2M) / z '3?qu y}: v“L = ,ﬂMI/én’ ﬂ 3"? : {My/ii 3 5% Lrby+ﬂ d 13‘ 7r“ 5’ «L 2 3w. I + ,nﬂro) . L = 3% +3.20 = 35‘9" / 9m '1): deA// g x7 , I : L VI; ”LII? I ‘1 G - Etc/“1017‘.” = llolé.‘/ mm / 6. (10 Points) A part similar to the one shown in problem 1 (same dimensions) was weighed and determined to have a mass of 0.38 kg. It was oscillated on a knife edge in one of the holes as shown, and was observed to make 30 oscillations in 20 seconds. What is the mass moment of inertia of this piece about an axis through its mass center, G? H R \$ 5% ﬁg T; Rafwu/i : % jaﬂM/ )0 9/6/49; MAE 364 - Kinematics, Summer, 2000 Exam 1 Page 4 7. (20 Points) Determine the corrections that must be placed in balancing planes A and B to dynamically balance the system shown. (mr)a= 13/ ﬁrm A 17 Balancing Planes [B 9 v ' ' ' p ”30.0... : l ’4‘??? ea = ’24 I 3.0%...." #2 bearing 33:23:35" . 9&3? (”)2 = 0.50 kg m I (1m)b = ’04 k7»: %= 690 I #1 ("“91 = 0.20 kg m fir/W09 aéodf/l‘ [‘4 0mm}? 51 0M7 '8 , é ’— 9 a’ mm Inn cojﬁ Mimi/4Q 4 MM' lam-10755 w L v *— 1 [00 9.0 —/MM */7 33’ ,20 4.20" 40 4/ Lego 3.9/69 70 no" a0 /0 4,910 4,347 w 30 0 3.72% ' ‘ ,_. , ’ a; 9,7; . Jr 40” m ”-77 0 ’27? WW“ H420 carred‘rh I}, A (M, 94/, — m 520) Maw: — Mao 4,997 ’ Car/Jeev/e B (IX/£0) 2,587) N - 4,355” r If, (WI/"4)? " Aqaf; I (in/A] : 3A}? 46? R mv 944755. mrﬂ _ 3.2/9 mr; 4’47 - “If” 0": 7r “ m 0 6y I Mr}; : 03,01 C26 II M,— ’ 090 I?“ 4' ...
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