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A Small Disk of Radius R1 Is Fastened Coaxially to a Larger

Question 4

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A small disk of radius R1 is fastened coaxially to a larger disk of radius R2. The combination is free to rotate on a fixed axle, which 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 fastened coaxially to a larger disk of radius R<sub>2</sub>. The combination is free to rotate on a fixed axle, which 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 tension in the string pulling the block is: A) R<sub>1</sub>F/R<sub>2</sub> B) mR<sub>1</sub>R<sub>2</sub>F/(I - mR<sup>2</sup><sub>2</sub>) C) mR<sub>1</sub>R<sub>2</sub>F/(I + mR<sup>2</sup><sub>2</sub>) D) mR<sub>1</sub>R<sub>2</sub>F/(I - mR<sub>1</sub>R <sub>2</sub>) E) mR<sub>1</sub>R<sub>2</sub>F/(I + mR<sub>1</sub>R <sub>2</sub>) as shown. The tension in the string pulling the block is:
A small disk of radius R<sub>1</sub> is fastened coaxially to a larger disk of radius R<sub>2</sub>. The combination is free to rotate on a fixed axle, which 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 tension in the string pulling the block is: A) R<sub>1</sub>F/R<sub>2</sub> B) mR<sub>1</sub>R<sub>2</sub>F/(I - mR<sup>2</sup><sub>2</sub>) C) mR<sub>1</sub>R<sub>2</sub>F/(I + mR<sup>2</sup><sub>2</sub>) D) mR<sub>1</sub>R<sub>2</sub>F/(I - mR<sub>1</sub>R <sub>2</sub>) E) mR<sub>1</sub>R<sub>2</sub>F/(I + mR<sub>1</sub>R <sub>2</sub>)


A) R1F/R2
B) mR1R2F/(I - mR22)
C) mR1R2F/(I + mR22)
D) mR1R2F/(I - mR1R 2)
E) mR1R2F/(I + mR1R 2)

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