Newton’s second law for rotational motion Equation
An Atwood machine is shown in Example 8.5. Use m1 = 0.20 kg, m2 = 0.16 kg, M = 0.50 kg, and R = 0.10 m. (a) Construct separate force diagrams for block 1, for block 2, and for the solid cylindrical pulley. (b) Determine the rotational inertia of the pulley. (c) Use the force diagrams for blocks 1 and 2 and Newton’s second law to write expressions relating the unknown accelerations of the blocks. (d) Use the pulley force diagram and the rotational form of Newton’s second law to write an expression for the rotational acceleration of the pulley. (e) Noting that a = Ra for the pulley, use the three equations from parts (c) and (d) to determine the magnitude of the acceleration of the hanging blocks.
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