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 as shown. The acceleration of the block is:

Question

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:

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The Answer of 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 as shown. The acceleration of the block is: A) R₁F/mR₂ B) R₁R₂F/(I - mR²₂) C) R₁R₂F/(I + mR²₂) D) R₁R₂F/(I - mR₁R ₂) E) R₁R₂F/(I + mR₁R ₂)

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

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