The 80lb plank shown in figure, rests on two cylindrical rollers with radius r each weighing 30lbs. Calculate the force P that will accelerate the plank up the incline at 6ft/s². Assume no slipping occurs either at the plank or at the incline.

The 80lb plank shown in figure, rests on two cylindrical rollers with radius r each weighing 30lbs. Calculate the force P that will accelerate the plank up the incline at 6ft/s². Assume no slipping occurs either at the plank or at the incline.

International Edition---engineering Mechanics: Statics, 4th Edition

4th Edition

ISBN:9781305501607

Author:Andrew Pytel And Jaan Kiusalaas

Publisher:Andrew Pytel And Jaan Kiusalaas

Chapter7: Dry Friction

Section: Chapter Questions

Problem 7.78P: The figure shows a steel bar being processed by a rolling mill. Given that P=80kN and r =0.016,...

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Question

PLANE MOTION AND ROLLING BODIES

The 80lb plank shown in figure, rests on
two cylindrical rollers with radius r each
weighing 30lbs. Calculate the force P
that will accelerate the plank up the
incline at 6ft/s². Assume no slipping
occurs either at the plank or at the
incline.
20°
Using the same figure above, if the force P is removed, compute the
acceleration of the plank.

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