How far does a cylinder roll after being released from an incline?

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SUMMARY

A solid cylinder with a mass of 10 kg is released from a 10m high ramp inclined at 37 degrees and rolls down without slipping. After rolling across a rough 1m long table positioned 2m above the ground, the cylinder exits the table with a horizontal velocity. To determine how far from the base of the table the cylinder lands, one must apply projectile motion equations to calculate the horizontal distance traveled after it leaves the table.

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Homework Statement


A solid cylinder of mass 10 kg is at rest atop a 10m high ramp inclined at an angle of 37 degrees. The cylinder is released and rolls, without slipping, down the incline. Then, the cylinder rolls across a rough 1-m long table that is 2m above the ground. Finally, the cylinder rolls off of the table. Calculate how far from the base of the table the cylinder lands.

The friction is to be ignored because it allows the cylinder to roll, and doesn't hinder the motion.


Homework Equations




The Attempt at a Solution


I've tried using kinematics, Newtons 2nd and conservation of energy, but
I can't figure out how far the cylinder lands plays into it.
 
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amegirl24 said:
… I can't figure out how far the cylinder lands plays into it.

Hi amegirl24! Welcome to PF! :wink:

The cylinder leaves the table with a horizontal velocity. Use ordinary projectile equations to find where it lands. :smile:
 

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