Question #206707

 The wheel with the load weighs 120kg. The center of gravity of the wheel is at a distance of 40 cm from the axis of rotation. With what force do we lift the wheel if the end of the hands is at a distance of 1.2 m?


1
Expert's answer
2021-06-14T14:56:34-0400

Gives

Mass =120 kg

Weight (w)=mg

W=120×9.8=1176NW=120\times9.8=1176N

Distance of center of gravity=40cm=0.4m

Wheels end of the hand distance=1.2m

Transation equation

Rf+Rb=mg=120×9.8=1176NR_f+R_b=mg=120\times9.8=1176N

For rotation equation on taking the torque about C.G

Rf(0.4)=Rb(1.20.4)R_f(0.4)=R_b(1.2-0.4)

0.4Rf=0.8Rb0.4R_f=0.8R_b

Rb=12RfR_b=\frac{1}{2}R_f

Rb+Rf=1176NR_b+R_f=1176N

32Rf=1176N\frac{3}{2}R_f=1176N

Rf=784NR_f=784N

Rb=392NR_b=392N

Each wheel force


Rf=7842=392NR_f=\frac{784}{2}=392N

Rb=3922=196NR_b=\frac{392}{2}=196N


Need a fast expert's response?

Submit order

and get a quick answer at the best price

for any assignment or question with DETAILED EXPLANATIONS!

Comments

No comments. Be the first!
LATEST TUTORIALS
APPROVED BY CLIENTS