A spool with a thread wound around it is pulled with a force T = 30 N as shown b

Question

A spool with a thread wound around it is pulled with a force T = 30 N as shown below. The total moment of inertia of the spool is I = 1.25 kg m^2 its mass is M = 10 kg, its outer radius is R = 0.5 m and its inner radius is r = 0.1 m. The spool rolls without slipping on a rough surface and starts from rest. Write the force and torque equations of the spool Find the angular acceleration alpha of the spool. A solid puck with radius R_1 = 1 m and mass M = 1.5 kg is sitting on a frictionless table. A top view of the puck is shown in the figure. Three constant

Explanation / Answer

there are two force acting on the spool , one is the torque due to friction, and torque due to tenstion in string.for rolling without slipping the frictional force should be equal to T= frictional force

force balance

T= F

now,

torque equation,

RXF + rXT = I *alpha

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