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Iw=2.4kgm2 D = 660mm IE = 1.2 kg.m2 G = 3:1 M = 2200 kg H = 550 mm A = 1.5m R = 80m
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Solution:

Iw=2.4 kgm2

d=660 mm

IE=1.2 kg.m2

G=3:1

M=2200 kg

h=550 mm

a=1.5 m

R=80 m

From figure (1) (beside)

fc=Mv2R=2200v280=27.5v2

Ww=vr=v0.33=3.030 V

wp=vR=V80=0.0125 V

 MA=0, +

- 2 \ Ri \ (a) \ + \ mg \ (\frac{a}{2}) \ – \ Fc(h) \ –\ c \ = \ 0

- 2 \ Ri \ (1.5) \ + \ 2200 \ \times \ 9.81 \ (\frac{1.5}{2}) \ – \ 27.5 \ v^2(0.55) \ – \ 0.499 v^2 \ = \ 0

Ri = \frac{16186.4 \ – \ 15.125 \ v^2 \ – \ 0.499 \ v^2}{3}

For stability:

R_i \geq 0

Equate : R_i = 0

On solving:

V = 32.18 \ m/s

V = 115.84 \ km/hr . . . .(ANS)

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