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Answers
Answer:
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Explanation:
using symmetry here we see that all forces
f1 = f2 = f3 = kQq / r power 2
here r = AO = BO = CO
using trigonometry we can find "r"
here we can see that length of each side of triangle ABC is " l "
=> in triangle BOD
angle OBD = 30 degree
angle BD = L /2
cos 30 = L/2r => r = L / 2 into sec 30 degree
=> r = L/2 into 2/√3 = ( 1/√3) L ----------1
so we can that all forces are equal
F1 = F2 = F3 = kQq / ( L / √3 ) power 2 = 3 kQq / L power 2
and angle between each force is 120 degree
using Lami's theorem all forces are equal and magnituide and angle between them is also equal and planar then resultant force is 0
=> fnet = f1 + f2 + f3 = 0
here we add forces using vectors to get net force = 0
so, net force on charge " Q " placed at centroid is zero
Answer:
Mass of car m=1800kg
Distance between front and back axles d=1.8m
Distance between center of gravity and front axle=1.05m
Let Rb and Rf be the forces exerted by the level ground on the back and front wheels respectively.
At translational equilibrium:
Rf+Rb=mg=17640 N.....(i)
For rotational equilibrium, on taking the torque about the C.G., we have:
Rf(1.05)=Rb(1.8−1.05)
⟹Rb=1.4Rf.......(ii)
Solving (i) and (ii) gives
Rf=7350 N
Rb=10290 N
The force exerted on each front wheel =7350/2=3675 N
The force exerted on each back wheel =10290/2=5145N