COSMOS Chapter 4 Solution 76 - Edubirdie

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

2022
Views:

252

Pages:

1
Author:

Arielle Armstrong

COSMOS: Complete Online Solutions Manual Organization System Chapter 4, Solution 76. Free-Body Diagram: Based on the roller having impending motion to the right, 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   = 23.074°  100 mm  α = cos −1  and θ = 90° + 30° − α = 120° − 23.074° = 96.926° Applying the law of sines to the force triangle, W P = sin θ sin α or 196.2 N P = sin 96.926° sin 23.074 ∴ P = 77.460 N or P = 77.5 N 30°

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