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Old Jan 6th 2009, 10:25 AM   #1
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disk making contact with a convayor

First, this is the pic: http://img60.imageshack.us/img60/7782/question6jh6.png

The axis of a disk with radius of 0.05m is fitted into a slot that forms an angle of 30degs with the vertical axis. The disk is at rest when it is placed in contact with a conveyor belt moving at constant speed. The coefficient of kinetic friction between the disk and the belt is 0.2 and there is no bearing friction.

a) Express the acceleration of the centre of mass of the body, and its angular acceleration

b) Draw a free body diagram showing the applied forces and the equivalent force diagram showing the vector 'ma' or its components and 'Ia'

c) Write the three equations of motion and use them to determine the angular acceleration of the disk while slipping occurs.

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HELP! Where should I start? Any help and advice would be very much appreciated, I need to hand this in tomorrow and have had a good crack at it without success!!
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Old Jan 7th 2009, 04:57 PM   #2
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The first thing you should do is drawing a free body diagram.
To me, there is gravity. It is balanced by a normal force from the belt the wheel is standing in. Since there is no bearing friction, the wheel won't tend to go up the slit.
Finally, the only thing that acts in all this is the friction from the belt.
The center of mass won't move but the wheel will have an angular acceleration.
Now try to calculate all this. If you still have problems ask again for help.
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Old Jan 8th 2009, 04:39 AM   #3
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Hi! Thanks for the answer! I managed to do and hand it in yesterday and it was really quite simple in the end, think I just had a mental block about it! lol.
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