### Problem StatementA spool of thread consists of a cylinder of radius \( R_1 = 7.2 \, \text{cm} \) with end caps of radius \( R_2 = 9.0 \, \text{cm} \) as depicted in the end view shown in the figure below. The mass of the spool, including the thread, is \( m = 180 \, \text{g} \). The spool is placed on a rough, horizontal surface so that it rolls without slipping when a force \( \vec{T} = 0.450 \, \text{N} \) acting to the right is applied to the free end of the thread. For the moment of inertia, treat the spool as being a solid cylinder of radius \( R_1 \), as the extended edges are thin and therefore light.### Questions(a) What is the acceleration of the spool? Take positive to be to the right.[Input box] _____ m/s\(^2\)(b) Determine the direction of the force of friction.- ( ) to the left- ( ) to the right- ( ) straight up- ( ) straight down### Diagram ExplanationThe diagram shows a spool on a flat, rough surface with a thread wrapped around it. A force \( \vec{T} \) is applied to the right at the end of the thread. The diagram includes:- A circle representing the spool with two radii marked: \( R_1 = 7.2 \, \text{cm} \) and \( R_2 = 9.0 \, \text{cm} \).- An arrow depicting the force \( \vec{T} \) acting to the right.

Part (a) The moment of inertia of the cylinder can be determined as, Here m is the mass of the…

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