AP Physics 1 2016 Exam Free Response Solution (#1 Wheel Down An Incline)

Link To Question

A wooden wheel of mass M, consisting of a rim with spokes, rolls down a ramp that makes an angle q with the horizontal, as shown above. The ramp exerts a force of static friction on the wheel so that the wheel rolls without slipping.

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[ananyaanair]

This is awesome! Truly, the feeling I get when I finally understand something I didn't before and then apply that knowledge when working through problems is priceless. Thank you for being a part of that in my AP Physics 1 experience!

[arnavjain]

When the question says which object has greatest speed, are we assuming its translational speed, not rotational?

[matthew-r]

Mr. Finn, for a ) ii), could I also say: the force of gravity causes a change in angular velocity, since fgparallel is greater than its opposing force, Ff, so there is a net force down the inclined plane, therefore some acceleration down the plane, therefore some change in linear velocity. Since v=rw, and there is a constant r, and a change in v, shouldn't there also be a change in w due to the force of gravity.

[dellimizrahi]

I am confused on aii and how the force of friction causes angular velocity. Couldn't I say that the Torque force caused a change in angular velocity because T=I(alpha) and we know that alpha is changing, im not sure how to prove that though, and then because alpha=w/t, then angular velocity will change?

[shawnzhuang]

Thank you for this video! Quick question: why is the frictional force sin theta in this instance? Usually, it's mu*mg*cos(theta) on inclined planes.

[lohitmurali]

The video is awesome. Also, I had a quick question: Would the Wheel also have dissipated energy due to friction instead of just translational and rotational kinetic energy? Thanks