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A sewer pipe rolls more slowly down an incline than a bowling ball with the same mass. Understand this and more by learning about Moment of Inertia, a measure of how compact objects are.

I assume that you work through these problems using some sort of writing utensil. Take your pen, balance it on its tip, and let go. It falls over. How fast in **m/s** is the other end of the pen going when it hits the table, assuming the tip doesn't slip? Take the pen to be a uniform one dimensional rod of length 15 cm.

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A cylinder is pinned at its center and two forces \(F_1=110\text{ N}\) and \(F_2=70\text{ N}\) are acting on it, as shown above. If the mass of the cylinder is \(100\text{ kg},\) what is the rotational acceleration produced by the two forces?

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Two blocks of masses \(m_1=430\text{ g}\) and \(m_2=500\text{ g}\) are hanging on a pulley, as shown in the above figure. The pulley is fixed on a horizontal axle with negligible friction, and its radius is \(R=5.00\text{ cm}.\) If they are released from rest, block \(m_2\) falls \(48.0\text{ cm}\) in \(4.00\text{ s}.\) If there is no slippage between the cord and the pulley, what is the rotational inertia of the pulley?

The gravitational acceleration is \(g=9.8\text{ m/s}^2.\)

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