chap 14 test

chap 14 test - 1'. A 2000—Ib car starts from rest at...

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Unformatted text preview: 1'. A 2000—Ib car starts from rest at point 1 as shown and moves without friction down the track that has a radius of curvature p2 = 20 ft. Determine a) the force exerted by the track on the car at point 2, and b) the radius of _ curvature p3 that would cause the car to leave the surface at point 3. 6“: Pawns (w a A 7.- ‘*‘iEF = N~200o :— Zseeu v 7 . . 32.17 (20) I N = 20000 + Toorss‘ v1) II—u-‘ #— i-l+\/,+LJHZ: IL+Vt 2 O + Z '-l.— ' :2 i #2000 - %( 0°03 C 2 32-174 2 v.3“: 257992 cf/m’ .N: 10,000 up, . . ' aflooolbs - - .A-i Purim 's (2&3) ' [fl . . I 3 . "12+Vz+UH: (“I—v, fN . ~14 2339 I, ‘ ail. 2000 2 '2(32.172v" + O +. 0. " 2(577‘2‘15 r L + isCzoo'o] _ i/gr: [608.7 sign: N — 200.0 : -— 23%;;{2‘3’8'fl ._'\:oy~ N:o {)5 :: 50H. “ 1. small block slides at a speed of v = 3 m/sec on a horizontal surface at a" height h= 1 m above the ground. Determine theangle at which the biOck will leave the surface BCD. Org: VG L . émfl‘) + OW+_ o- :: 3’:ch ".mfifl-(h~1¢¢o$9i 3 .,._ glam-Haws) x Z- .7,- V: —_-.« Q + (ramp case); “m .9 F‘ + . i t I . :: N - Mgoosfl z-”jg‘{§ N . block will leak 4h sur-ircc “Lea -N:o (lazy-u.) ‘2, a VG, = (imam?) :: 4) +.z(9.2/) '. 2(4.xi)cose 9 3 1395‘?" 2. Collar A slides on a smooth horizontal-bar as shown. The system is released from rest. The mass of the collar A m A = 14 kg, while the mass ofthe block B mB = 18 kg. The spring stiffness E = 700 N/m. Use the conservation of energy to determine the velocity of collar A when it has moved 0.2 m to the right. —-'_-' “+W+M1:t+w'w“g "a" z ' _.‘: Q- [1‘0 vi 0 Unfit ‘ I L I 1.. o + o + o = éflfli/ + —2—’((x)v _ _l I L I + gf‘ioQCJJ *— {8013002) V = -l.l§ m/s _ §l(/~5)G2)(6+:22~7) 2. A 3—lb collar is attached 'to a spring along a circular rod in a horizontal plane (no changes in gravitational potential). The spring has an un- stretched length of 7 inches and a stiffness E = 1.5 lb/in. The spring is stretched, but in equilibrium at point A. The collar is then given a slight push'to get it moving. Determine the velocity of the collar a) as it passes through B, and b) as it passes through C. ... 3 L f I + O " Z(§'§.{1>_.Vfi + 50"; [I . 1— l o +. iO.‘S(=Z$ -oafieeV/s + 4.23s V3 {I 3. A 1.2 kg collar is attached to a spring and slides without friction along a circular rod in a vertical plane. The spring has an unstretched length of 105 mm and a spring stiffness Q: 300 N/m. The collar is initially at rest at C and is given a slight push to get it moving. Determine the velocity of the collar and the force exerted by the rod on the collar as it passes through point: A. 7 ' A To +_Vc tug-.. : T 'l’ VA- 0 + ,4. o -: é(r.2)\{4 + 425(30076199" »_/oS) '.— , {802.709.31) \/Wt '3 9-7-71” ‘18::- 22.62 1E... - 3 N '" liQoS :“MBZI . ( 00 IN 1’ (3007(.iczs—.-.zos) cos 22LLz° ~- /.2 ( 1-202 .78 :3 14.2% N 3. A small pellet of mass m: 0.2 kg starts from rest at position 1 and slides down the smooth surface of a cylinder as shown to position 2. The radius R = 0.8- m. Use the conservation of energy to determine-the magnitude of the pellet's velocity at postion 2 when 8 = 45°. . X. Z)'IC‘i.-Ir)) Co; 20' z {.479 NH“ #~ .1. 1'2: z - ZCZWZ JV; 7. V2 2 ,.‘Zs(_.__2)(9.8z)ccs $5“ = L o+/.47{+o :2 .va + M! \/ =1 If?! ms“ 3. «:2: Sseam‘réw ‘ ~ ,1 . L I _ N 2?}: N fill/LighaosBZ —-W\V 04:58: l - (H!) .' M“ x CW5!) 9: 62.3”? 9’5” “L I ,9” M:O M‘ ,Sermto‘w 44. 9s“ ...
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chap 14 test - 1'. A 2000—Ib car starts from rest at...

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