Consider the hanging crane structure in Figure 1. Write the equations of motion describing the motion of the cart and the payload by using Newton's 2nd Law. The mass of the cart is M, the mass of the payload is m, the mass-less rigid connector has length L, and the friction is modeled as Fb(t) = -bx_ where x is the distance traveled by the cart. Hint: Use normal and tangential coordinate systems.

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Conservation of Energy

In physics, the rule of the conservation of energy states that energy doesn’t disappear from the atmosphere; instead, it changes its form from one type to another. Energy is one of the most important physical quantities in nature, and it cannot be created or destroyed — only transformed.