Given the mass of the cart m,=50 kg and the mass of the wheel m=25 kg and its radius r=0.25 m. The %3D %3! C stiffness k=75 N/m. Knowing that, the wheel rolls without sliding. Write the equations of motion in terms of coordinates 0(t) and x(f) Hint: draw separate free-body diagrams for the cart and the wheel. Replace the point of contact between the wheel and the cart by friction force Fr. x(t) 0(t) k 2k k 手 mw, mc

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Given the mass of the cart m.=50 kg and the mass of the wheel m=25 kg and its radius r=0.25 m. The
stiffness k= 75N/m. Knowing that, the wheel rolls without sliding. Write the equations of motion in terms of
coordinates 0(t) and x(t)
Hint: draw separate free-body diagrams for the cart and the wheel. Replace the point of contact
between the wheel and the cart by friction force Fr.
x(t)
0 (t)
2k
k
mw
me
Transcribed Image Text:Given the mass of the cart m.=50 kg and the mass of the wheel m=25 kg and its radius r=0.25 m. The stiffness k= 75N/m. Knowing that, the wheel rolls without sliding. Write the equations of motion in terms of coordinates 0(t) and x(t) Hint: draw separate free-body diagrams for the cart and the wheel. Replace the point of contact between the wheel and the cart by friction force Fr. x(t) 0 (t) 2k k mw me
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