Question

For the given dynamic system, do the followings: 1. Estimate the travel time. (10pt) 2. Estimate the L3 distance. (10pt) 3. Estimate the speed of the bird when contacts to the beam. (10pt) 4. Calculate the support reactions of the beam whe the bird contacts. 10pt) L1 L2 L3 Figure 3: Angry Birds Properties: 10 = 20m/s. 8 = 45', bird weight = 5kgf, Ll = 2xL2 = 1.2m, g = 9.81m/s, contact time = 0.1s

Answer 1

w = 5 kgf Voz 200ls 8:45 1,224 = 1.2m 829.8W/82 content tine ils 1) travel time 2usind 2 x 20% - 2.8 sec. 00 Aur 9.8 - 2) 13: Range 400 = 40.7 m u² sinzo g (20) x sin (2x414) g 9.81 que velocity is speed of bird when it contacts beam - x direction:- vo costly, there is no acceleration so this relocity will remain inact y directions 9 nitially relocity is vo eink/4 it attains maximum height Vy becomes Then it attains where vosinn/4 same velochy 2 (Half time) time 2 tesino Hang tenga ox king) + 3 (using ) g + u2sinte 29 usino ½ gt ² - 4² sinza -->> to 82 2 g usino vya o + g (using) g. velocity Vo cos 1/4 Vo sin &/F { only directou changed} ✓ Au when stike beam wa 5 kgf > 5 kg 8/9.0 = 510 kg Spear as ? AVX = change of velocity in x direchou = Vo Costa Vocos 1/4 = 0 height! Vy = change of velocity in y direction = losina 14 -vosin 2/4 force x contact tince fx.is 72.1 = EX.IS > F = 7.21 Poza force Ps vesticle force of change in relocity is vertical only maximus 0 - Vo sin Now change in momentum - nvy > .510 x 20 **

Reactions at support RAT RB 72. IN F B AR ok 1 = 1.2 m 12 = 6n 22 3 MA=0 FX 4 Rexlutle) 72.14 1.2 = RB (1.8) - RB = 48.08 N = 24.0IN Am