Wheel that has mass \( \mathrm{m} \) without slipping rolls on ground. The spring is connected to the centre of the wheel and mass body \( 2 \mathrm{~m} \) which has its centre of mass from pin at distance a. The moment inertia of this body is \( I_{c}=4 \mathrm{ma}^{2} \). There is gravity present. Obtain the equation/s of motion for this figure. Use either Newton Euler or Lagrange equations to solve.
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First, we need to define the coordinates. Let's denote the displacement of the center of the wheel from its equilibrium position as \(x\), and the angle that the mass body makes with the vertical as \(\theta\). Show more…
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