$\"\"$

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Step1:

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The masses are $\"\"$ and $\"\"$ .

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The two masses are attached to a long horizontal rod of length is $\"\"$ .

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The angular speed of the system is $\"\"$ .

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The kinetic energy is $\"\"$ , where $\"\"$ is the moment of inertia.

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The moment of inertial of the system is $\"\"$ .

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$\"\"$ .

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Substitute $\"\"$ , $\"\"$ and $\"\"$ .

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$\"\"$

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$\"\"$

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$\"\"$ .

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Substitute $\"\"$ , $\"\"$ in $\"\"$ .

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$ .

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The kinetic energy of the system is $\"\"$ .

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(b)

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The masses are $\"\"$ and $\"\"$ .

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The two masses are attached to a long horizontal rod of length is $\"\"$ .

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The angular speed of the system is $\"\"$ .

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Find the net force on $\"\"$ mass.

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The net force on $\"\"$ mass is $\"\"$ .

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Substitute $\"\"$ , $\"\"$ and $\"\"$ .

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$ .

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the net force on $\"\"$ mass is $\"\"$ .

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(c)

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The masses are $\"\"$ and $\"\"$ .

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The two masses are attached to a long horizontal rod of length is $\"\"$ .

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The angular speed of the system is $\"\"$ .

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Find the net force on $\"\"$ mass.

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The net force on $\"\"$ mass is $\"\"$ .

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Substitute $\"\"$ , $\"\"$ and $\"\"$ .

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$ .

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The net force on $\"\"$ mass is $\"\"$ .