Hint: Consider the wheel's energy.(adsbygoogle = window.adsbygoogle || []).push({});

Consider a wheel of radius 1.23 m, mass

7.7 kg and moment of inertia I =1/2 MR^2

(it's a solid disk). The wheel rolls without

slipping in a straight line in an uphill direction 30 degrees above the horizontal. The wheel starts at angular speed 16.1 rad/s but the ro-

tation slows down as the wheel rolls uphill,

and eventually the wheel comes to a stop and

rolls back downhill.

The acceleration of gravity is 9.8 m/s^2

How far does the wheel roll in the uphill

direction before it stops? Answer in units of

m.

This is what I plan to do:

1. Use:

1/2 Iw^2 +1/2 mv^2 = mgh

by substituting Rw for v and solving for h.

2. "h" would equal the "y" component so I would then go on to use trig. to find the hypontenuse.

Would that work?

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# Homework Help: Am I doing this right? - rotational motion

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