finaltestsample - 0 440:222 FALL 1998 FINAL(130 minutes...

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Unformatted text preview: 0 440:222 FALL 1998 FINAL : (130 minutes, closed book and notes, two equation sheets) 1 \l/O) L__ 3 To pass inspection, steel balls must clear the fixed bar A A l at the top of their rebound when dropped from rest I / / ‘ \ through the vertical distance H = 90 cm onto the heavy H l // A T inclined steel plate. If balls that have a coefficient of i / restitution e < 0.7 are to be rejected, determine the / h position of the barA by calculating s and h. (17%) i-——--— \ \ L The rotation of the gear is controlled by the horizontal motion of end A of the rack AB. The piston rod has a constant velocity of 5c = 300 mm/s. Determine the angular acceleration of the gear at the instant when x = 800 mm. (17%) A wheel of weight 60 lb, radius 9 in and centroidal radius , of gyration k = 6 in is released from rest along an incline as shown. What should the minimum amount of friction between the wheel and incline be, so that the wheel will roll without slipping? (16%) 0:“, d The 12 1b lever 0A of radius of gyration k0 = 10 in, is initially at rest at the vertical position (9 = 90°) where the attached spring of stiffness k = 3 1b/in is unstretched. A constant moment M = 25 lb-in is applied to the lever through its shaft. What is the angular velocity of the lever as the lever reaches the horizontal position 6 = 0. (17%) The uniform concrete block weighs 171 lb and falls from rest in the horizontal position shown. It strikes the fixed corner A and pivots around it with no rebound. Calculate the angular velocity of the block immediately after it hits the corner and the percentage loss n in energy due to impact. (17%). Note: For a plate, 7 = m(a2 + b2)/12, where a and b are the sides of the plate. At the instant shown, the platform is rotating with the constant angular velocity of Q = 1.2 rad/s, while the rod has a constant angular velocity of a) = 0.8 rad/s relative to the platform. Using the xyz coordinate system, find the velocity and acceleration of point B, the tip of the rod. (16%) Ler0; 222 FHL‘L (9°23 FWAL gxmvr 501.07! QM \ A S‘HAXQ it EA“ :5 {Q\eq32¢§ (MA I‘k LH’A‘J‘ K, Sufi/arch . V: \J’LgH = \52x°h§\ x090 H’ ‘ k V: LIH’LOZ M's S+ag§ ’2— : Imeacsc. WJL ‘Aavi 0191M Jfi {mfo‘c£) acmeoaon‘t oz} \/ G\gn3 “Raj Fwd-e} Vv‘-=\ICO3\O° -_: LL7.02. (‘05 (0°: L+\|38 M15 Com cm nk \/ ,L 4: \Cn H a. t V -\/J\Ffl’03 ( PA 0”) o a vhf c t- V‘é : 93.023; sin [0° 2 J 7 v H¥J¢€C {Infect Comgcnenjr \/.E is?) fit}? change, VA chmfpjfi M4: 8% Un‘e'vmgo‘7“ 1mg? 3230“ mls. 150/: : Ufl/V£ =28‘l7/o‘7z‘H7 {6" g: 3‘0"“) 5 3 79350 U c,‘E‘9017’-*0~72.°n7z =~ 2\°|89m/: M'- PrOSPC‘L:‘Q MOLtbA (xx/(HA A 52:3, “42 413?, IMHO} cenAIfiion) U: 233? 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This note was uploaded on 01/09/2009 for the course ENGINEERIN 440:222 taught by Professor - during the Summer '06 term at Rutgers.

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finaltestsample - 0 440:222 FALL 1998 FINAL(130 minutes...

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