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A yo-yo has mass M 0.550 kg, axle radius...

A yo-yo has mass M 0.550 kg, axle radius `R_(0) = 3.2 mm`, and rotational inertia `l = 3.4 xx 10^(-4) kg m^(2)` about its rotation axis. Assume that the string has negligible mass and thickness.
(a) What is the linear acceleration of the yo-yo as it rolls down the string from rest?

Text Solution

AI Generated Solution

To find the linear acceleration of the yo-yo as it rolls down the string from rest, we can follow these steps: ### Step 1: Identify the forces acting on the yo-yo The forces acting on the yo-yo are: - The gravitational force (weight) acting downward: \( F_g = Mg \) - The tension in the string acting upward: \( T \) ### Step 2: Write the equation of motion ...
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