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A bead of mass m is fitted on a rod and ...

A bead of mass m is fitted on a rod and can move on it without friction. Initially the bead is at the middle of the rod moves transitionally in the vertical plane with an accleration `a_(0)` in direction forming angle `alpha` with the rod as shown. The acceleration of bead with respect to rod is:
`z`

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To solve the problem, we need to analyze the forces acting on the bead and determine its acceleration with respect to the rod. Here’s a step-by-step solution: ### Step 1: Understand the Setup We have a bead of mass \( m \) that can move along a rod without friction. The rod is oriented at an angle \( \alpha \) with respect to the vertical. The bead is initially at the midpoint of the rod and is subjected to a translational acceleration \( a_0 \) at an angle \( \alpha \) with the rod. ### Step 2: Break Down the Acceleration The acceleration \( a_0 \) can be broken down into two components: - **Parallel to the rod**: \( a_{0,\parallel} = a_0 \cos(\alpha) \) ...
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