**Problem 2**The apparatus sketched in the figure below serves as a viscometer, i.e., it can be used to measure the viscosity of a liquid. In the drawing, D is a large reservoir containing a viscous liquid A and E is a cylindrical tube of radius R, open at both ends, surrounding and coaxial with B, which is a cylindrical "bob" of radius κR that is dragged up through the fluid by a frictionless pulley system (C) utilizing a weight W. Determine a design equation that relates the viscosity of the liquid to the geometry of the system and the weight W. Hint: you can assume that the length of the cylindrical tube is sufficiently long for the flow to reach steady state.**Diagram Explanation:**- The diagram illustrates a vertical setup where a cylindrical tube (E) and a bob (B) are submerged in a liquid (A) within a reservoir (D).- The bob (B) is positioned coaxially within the tube (E) and is attached to a pulley system (C).- The pulley system is frictionless, aiding in the upward motion of the bob.- A weight (W) is connected to the system, which facilitates the movement of the bob through the liquid.- The arrangement helps measure the viscosity by observing the resistance offered by the liquid to the bob's movement, which is connected to the weight (W).Participants are tasked with deriving an equation that connects the liquid’s viscosity with the system's geometry and the weight. The tube's length is assumed adequate for establishing a steady flow state.

Given Data: The apparatus sketched in the figure below serves as a viscometer i.e. it can be used to measure the viscosity of a liquid. In the drawing, D is a large reservoir containing a viscous liquid A and E is a cylindrical tube of radius R, open at both ends, surrounding and coaxial with B, which is a cylindrical "bob" of radius KR that is dragged up through the fluid by a frictionless pulley system (C) utilizing a weight W. Find: Determine a design equation that relates the viscosity of the liquid to the geometry of the system and the weight W.