Torque to generate angular acceleration

[pines344]

Homework Statement

Problem definition - Conversion of torque from a pendulum to generate angular acceleration in a cylinder.

Pendulum is fixed on one side and has adjustable mass on the other end. Length of the pendulum is constant.

Homework Equations

torque generated by pendulum = mass of pendulum x acceleration due to gravity x length of pendulum x sin (theta)

torque generated in cylinder = moment of inertia ( which is mass of cylinder x radius of cylinder^2) x angular accelration

Now, torque generated by pendulum = torque generated in cylinder ( assumption is that the pendulum impacts the cylinder)

The Attempt at a Solution

so angular acceleration = (mass of pendulum x acceleration due to gravity x length of pendulum x sin (theta)) / ( moment of inertia ( which is mass of cylinder x radius of cylinder^2))

Please let me know if the formula that i had genreated to calculate angular acceleration is correct.

 

[Redbelly98]

Looks good to me.

In the future, please consider using symbols instead of writing out the quantities in words, it would be easier for others to read the equations and follow the derivation that way.