Pulley Mass Calculation: Atwood's Machine

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The discussion revolves around calculating the mass of a pulley in an Atwood's machine setup with two masses, m1 and m2. The problem states that m1 has a mass of 5.0 kg and m2 has a mass of 3.0 kg, with m1 starting at a height of 0.92 m and reaching a speed of 1.1 m/s when it hits the ground. Participants emphasize the importance of applying the conservation of energy principle, incorporating both kinetic and gravitational potential energy in the calculations. There is a reminder to consider the moment of inertia of the pulley, which is modeled as a uniform disk. The user expresses frustration with incorrect answers on Webassign, indicating a need for clarity in the application of the equations.
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Homework Statement



The two masses (m1 = 5.0 kg and m2 = 3.0 kg) in the Atwood's machine shown in Figure 10-23 are released from rest, with m1 at a height of 0.92 m above the floor. When m1 hits the ground its speed is 1.1 m/s. Assume that the pulley is a uniform disk with a radius of 12 cm.

Determine the pulley's mass.


Homework Equations


Conservation of Energy Ef=Ei
K= 1/2mv2+1/2Iw2 (w = omega)
I = 1/2mr2


The Attempt at a Solution



I tried to cancel out as much as I could form the "K" equation and fill it in. Webassign keeps determining my answer wrong...
 

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Show what you did. Hint: Don't forget gravitational potential energy.
 
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