me240midterm_fall2007_soln

# me240midterm_fall2007_soln - NIE 240 DYNAMICS MIDTERM EXAM...

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Unformatted text preview: NIE 240 DYNAMICS MIDTERM EXAM OCTOBER 18, 2007 3 NAME : (plume. print) Section : Question #1 SHOW ALL WORK FOR FULL CREDIT 20 points A constant horizontal force P is applied to a 40 kg block on an inclined surface as shown. The coefﬁcients of friction between :he block and the surface are me = 0.4. and M, = 0.6. Find the magnitude of the fame P applied to the block if. starting from rest, it takes 5 seconds to [email protected] m up the incline. P: Question #2 SHOW ALL WORK FOR. FULL annrr- 25 points A conveyer belt carries small boxes and drops them mm a collection bu). W liar- conveyor Belt speeEl 15 re— quircd to initiate slipping of the boxes when 0 =10 degrees? The static coefﬁcient of friction between the lioxcs—and—bclt—isﬂé '0: Question #3 w snow ALL WORK FOR. FULL CREDIT 20 points Collars A and B, of the same mass, m, are moving ' toward each other with the velocities shown. Knowing _‘_’A____., \$31.... that the coefﬁcient of restitution between the collars is 0 (plastic impact), express as a function of m, 9,; v3: (a) the connnon velocity, v’, of tlzo collars afrm impact. and (h) the. loss. in kinetic enteggx, Tin“. . £1 :1 9.. Question #4 M snow ALL WORK FOR. FULL CREDIT 25 points A ball of mass m 100 grams is shot from a preloaded spring mechanism along the track shown. The spring constant k is 500 N/m and the initial spring preload is 100 mm. The ball "is constﬁihed to move on Elie track Tfom point A to point: Bi The track ends at point; B. De- ! termine the maximum angle, 0",“, at. the end 0 v ’ - the track such that. the bull does not touch the " vertical constraint (point C). II = 100 grams C Hint: you do not need to use projectile motion 1 equations to solve this problem. 9mm: 2 ME Z‘IO Miaﬂfem/L TZWLL 2007 Guns-Ham ‘3‘ 7’ )2? V‘ / - Gr: Yell e =- O cﬁmﬁ‘k’tc "r. kiusklc. W3: Camscr-mi‘ow. y? ﬁnng '27 z. "a. \ +.V_'3+\/Al/Rj .2- '?.- ’8.- QM§¥FC§N a Li Matai WE) I 03/0 air r-esfg‘faxae ?resejc~- vjai 23W Rwéw‘wﬂ "Mai VIKQ'? @{Vﬂj 2% V3: Vszae stmze: Zak sing r. _\ qulgbloh> 8: “’3.n vM/S’wg ...
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me240midterm_fall2007_soln - NIE 240 DYNAMICS MIDTERM EXAM...

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