f 10.76 • Tarzan and Jane in the 21st Century. Tarzan has foolishly gotten himself into another scrape with the animals and must be rescued once again by Jane. The 60.0-kg Jane starts from rest at a height of 5.50 m in the trees and swings down to the ground using a thin, but very rigid, 30.0-kg vine 8.00 m long. She arrives just in time to snatch the 72.0-kg Tarzan from the jaws of an angry hippopotamus. What is Jane's (and the vine's) angular speed (a) just before she grabs Tarzan and (b) just after she grabs him? (c) How high will Tarzan and Jane go on their first swing after this daring rescue? 10.77 ... A 500-ko ball is dronned from a height of 120 m

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> • 200g 22 Position (1) Jane tro Couler of mousse off 3.44 / L-2 mory' I yine. Nous 7.Le mul? L8m. D B h = 55m Jane My = 60kg Tanzan - My Fly h Position 2 (onen Tarzan Jane Coues है ) here using the proportional to the triangle ů 7 8 = 2h BA ko and Ad L-h X*%* L so, the height from the ground of the Center of mass of the wine is nisi htles 2 So, the en at position 1, f t : Ko Noco, 3 2 Kine tkivine energy (strautid up = 0, Jane tu farean = might Malin - y energy Jane Ki Tangan - W7 + 2 2 2 2 2 2 the energy + 22, w,? + Reit at position U = Potantial Waz ZO ht Ei mign + mug Now, the ci mergy 2 Im. ( 2 ) 11 energy at 2 = mg (72 (ma?? (where. Wy is angular speed before is . bedo after the graly (30x9.0) (2) (60+4,80)W By cuergy Comune rowention, 1, 12 → migut mwy (nt -: (60*9*8 *p*) + 3089-8 *(* *4->) Noud, ping Nalues and solve for me 27 (19), fra 1959 la 2 2.An W2 3 134 rad/s " Angular speed of Jame before She him 1.34 rad/s grabs WB. is the wy him, 1 angular speed after the grops him (m & m.) is the mass of Jane (mgtm.) and Tanzone angular momentom is conserved. As tuere is no net frietion, the meet forsque is zero and and the 9088 Nm 80, L2 = hy į mv 2 I 2 W2 = (my 2. L'of 407 cl Em2. MvLW2 Do (Go 10% te usor de or 3*)(131) = 6008 2.Ngoma / twag = (180 + 72x82) Way 3 L3 3 = 13 W3 1 2 + m +12 2 Key rm2 S Now I r. Wm وا L3 6PoB.2.0.66 = 0.66 grads 11 9088 can the angular speed after she grabs of roll Using the proportions, A OA and ABCD ܢ from figure H2 L-d کو e A D 42 Jane ay M 2. 3 Coonen Led Taman neach iez und maximo neight by energy conservation, int key = UATKA (my stoma) 90) + mely) the - (my town) Bd+ mvoldte) im It 30x9: 8x 4 +124088 * Corbei (60+ 72) 980+ 3498(14(4-6) 1976. + 1979.3664 =12936á+ 294 294(14) 1176 11979.3. = 1440*60 +1176 1440:6 1: 3 73 m the height have to be acheived 1.373 m 7 da 1979.3 SOM .

F 10.76 • Tarzan and Jane in the 21st Century. T…

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> • 200g 22 Position (1) Jane tro Couler of mousse off 3.44 / L-2 mory I yine. Nous 7. Le mul? L8m. D B h = 55m Jane My = 60

(30x9.0) (2) (60+4,80)W By cuergy Comune rowention, 1, 12 → migut mwy (nt -: (60*9*8 *p*) + 3089-8 *(* *4->) Noud, ping Nalue

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