7. In Figure 6, the cups and the ams of an anemomcter are fabricated from a material of density p. Knowing that the mass moment of inertia of a thin, hemispherical shell of mass mand thickness t with respect to its centroidal axis GG' is 5ma'n2, determine a the mass moment of inertia of the anemometer with respect to the axis AA' b. the ratio of a to I for which the centroidal moment of inertia of the cup is equal to 1% of the moment of inertia of the cups with respect to the axis AA'.

International Edition---engineering Mechanics: Statics, 4th Edition
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Author:Andrew Pytel And Jaan Kiusalaas
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Chapter7: Dry Friction
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7. In Figure 6, the cups and the ams of an anemometer are fabricated from a material of
density p. Knowing that the mass moment of inertia of a thin, hemispherical shell of mass
mand thickness t with respect to its centroidal axis GG' is 5ma'n2, determine
the mass moment of inertia of the anemometer with respect to the axis AA'
b. the ratio of a to l for which the centroidal moment of inertia of the cup is equal to 1%
of the moment of inertia of the cups with respect to the axis AA'.
a.
Page 5 of 8
Figure 6
Pane 6 of8
Transcribed Image Text:7. In Figure 6, the cups and the ams of an anemometer are fabricated from a material of density p. Knowing that the mass moment of inertia of a thin, hemispherical shell of mass mand thickness t with respect to its centroidal axis GG' is 5ma'n2, determine the mass moment of inertia of the anemometer with respect to the axis AA' b. the ratio of a to l for which the centroidal moment of inertia of the cup is equal to 1% of the moment of inertia of the cups with respect to the axis AA'. a. Page 5 of 8 Figure 6 Pane 6 of8
Page 6 of 8
8. Figure 7 shows a four-wheel drive car of mass m = 970 kg. The coefficients of friction is
u=0.6. Neglect the mass of the tyres.
(a) Determine the greatest possible acceleration of the race car so that its front tyres do not
kave the ground nor the tyres slip on the track.
(b) Determine the corresponding reactions on tyres A and B.
(c) From (b) above, recalculate the coefficient of friction. If it is not same as either the
given values H, or Hk, then in one sentence, state or explain why the difference in
values?
h=0.55 m
a= 1.82 m
B
b = 2.20 m
Figure 7
Page 7 of 8
Transcribed Image Text:Page 6 of 8 8. Figure 7 shows a four-wheel drive car of mass m = 970 kg. The coefficients of friction is u=0.6. Neglect the mass of the tyres. (a) Determine the greatest possible acceleration of the race car so that its front tyres do not kave the ground nor the tyres slip on the track. (b) Determine the corresponding reactions on tyres A and B. (c) From (b) above, recalculate the coefficient of friction. If it is not same as either the given values H, or Hk, then in one sentence, state or explain why the difference in values? h=0.55 m a= 1.82 m B b = 2.20 m Figure 7 Page 7 of 8
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