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Got this homework assignment today and not a clue where to start. Anyone know ho

ID: 2251131 • Letter: G

Question

Got this homework assignment today and not a clue where to start. Anyone know how to help?

A uniform rod of mass m and length L is pivoted about an axle through one end. The other end is attached to a horizontal massless spring of spring constant k. The spring is neither stretched nor compressed when the rod hangs straight down. The bottom end of the rod is pulled to the right and released. The system oscillates in simple harmonic motion. You can assume the rod's angle from the vertical is always small. Starting with Newton's second law for rotation, write a differential equation for the position theta of the rod as a function of time. i.e. write the equation of motion for the system. (Hint: Do not neglect the gravitational force.) From the solution to your differential equation, determine the angular frequency w and period T of oscillation of the rod.

Explanation / Answer

Got this homework assignment today and not a clue where to start. Anyone know ho

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