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Given the dat below, how much force does each beam ofthe bridge exert?

1 Answer

6 votes

Answer:

A. 63765N

B 53955N

Step-by-step explanation:

Going by the picture attached from an online source,

we know from the principle of moments that the sum of upward forces must be equal to the sum of downward forces

also

the sum of clockwise moments must be equal to the sum of anticlockwise moments. For an equilibrium system

the car has a mass of 2000 kg'

the bridge has a mass of 10000 kg,

10000+2000=B+A

12000=B+A.............................1

taking moments at A

20*10000+10*2000=B*40

220000=40B

B=5500kg

from equation 1

12000=5500+A

A=6500 kg

Force is the product of the mass of abody and acceleration due to gravity-F=mg

g=9.81m/s^2

therefore the forces exerted by A

6500*9.81

63765N

The force exerted by B beam on the bridge

f=mg

F=5500*9.81

53955N

Given the dat below, how much force does each beam ofthe bridge exert?-example-1
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