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A Small Disk of Radius R1 Is Mounted Coaxially with a Larger

Question 44

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A small disk of radius R1 is mounted coaxially with a larger disk of radius R2. The disks are securely fastened to each other and the combination is free to rotate on a fixed axle that is perpendicular to a horizontal frictionless table top,as shown in the overhead veiw below. The rotational inertia of the combination is I. A string is wrapped around the larger disk and attached to a block of mass m, on the table. Another string is wrapped around the smaller disk and is pulled with a force A small disk of radius R<sub>1</sub> is mounted coaxially with a larger disk of radius R<sub>2</sub>. The disks are securely fastened to each other and the combination is free to rotate on a fixed axle that is perpendicular to a horizontal frictionless table top,as shown in the overhead veiw below. The rotational inertia of the combination is I. A string is wrapped around the larger disk and attached to a block of mass m, on the table. Another string is wrapped around the smaller disk and is pulled with a force as shown. The acceleration of the block is: A) R<sub>1</sub>F/mR<sub>2</sub> B) R<sub>1</sub>R<sub>2</sub>F/(I - mR<sup>2 </sup><sub>2</sub>) C) R<sub>1</sub>R<sub>2</sub>F/(I + mR<sup>2 </sup><sub>2</sub>) D) R<sub>1</sub>R<sub>2</sub>F/(I - mR<sub>1</sub>R <sub>2</sub>) E) R<sub>1</sub>R<sub>2</sub>F/(I + mR<sub>1</sub>R <sub>2</sub>) as shown. The acceleration of the block is: A small disk of radius R<sub>1</sub> is mounted coaxially with a larger disk of radius R<sub>2</sub>. The disks are securely fastened to each other and the combination is free to rotate on a fixed axle that is perpendicular to a horizontal frictionless table top,as shown in the overhead veiw below. The rotational inertia of the combination is I. A string is wrapped around the larger disk and attached to a block of mass m, on the table. Another string is wrapped around the smaller disk and is pulled with a force as shown. The acceleration of the block is: A) R<sub>1</sub>F/mR<sub>2</sub> B) R<sub>1</sub>R<sub>2</sub>F/(I - mR<sup>2 </sup><sub>2</sub>) C) R<sub>1</sub>R<sub>2</sub>F/(I + mR<sup>2 </sup><sub>2</sub>) D) R<sub>1</sub>R<sub>2</sub>F/(I - mR<sub>1</sub>R <sub>2</sub>) E) R<sub>1</sub>R<sub>2</sub>F/(I + mR<sub>1</sub>R <sub>2</sub>)


A) R1F/mR2
B) R1R2F/(I - mR2 2)
C) R1R2F/(I + mR2 2)
D) R1R2F/(I - mR1R 2)
E) R1R2F/(I + mR1R 2)

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