COSMOS Chapter 4 Solution 75 | Michigan State University - Edubirdie

University:
Michigan State University
Course:
ERG 160 | Success in Science, Technology, Engineering, and Mathematics
Academic year:

2021
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395

Pages:

1
Author:

Quintin Ware

COSMOS: Complete Online Solutions Manual Organization System Chapter 4, Solution 75. Free-Body Diagram: Based on the roller having impending motion to the left, the only contact between the roller and floor will be at the edge of the tile. First note ( ) W = mg = ( 20 kg ) 9.81 m/s 2 = 196.2 N From the geometry of the three forces acting on the roller  92 mm  α = cos −1   = 23.074°  100 mm  and θ = 90° − 30° − α = 60° − 23.074 = 36.926° Applying the law of sines to the force triangle, W P = sin θ sin α or 196.2 N P = sin 36.926° sin 23.074° ∴ P = 127.991 N or P = 128.0 N 30°

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