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 as shown. The tension in the string pulling the block is:

Question

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:

Quizplus · Accepted Answer

The Answer of 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 as shown. The tension in the string pulling the block is: A) R₁F/R₂ B) mR₁R₂F/(I - mR²₂) C) mR₁R₂F/(I + mR²₂) D) mR₁R₂F/(I - mR₁R ₂) E) mR₁R₂F/(I + mR₁R ₂)

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

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