Find the blocks acceleration, in [m/s2] up the plane?

Automotive Technology: A Systems Approach (MindTap Course List)
6th Edition
ISBN:9781133612315
Author:Jack Erjavec, Rob Thompson
Publisher:Jack Erjavec, Rob Thompson
Chapter3: Basic Theories And Math
Section: Chapter Questions
Problem 6RQ: Explain why a rotating, tilted wheel moves in the direction of the tilt.
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A 10 kg block rests on an 30-degree inclined plane. The block is attached to a bucket by pulley system depicted below. The mass in the bucket is gradually increased by the addition of sand. At some point, the bucket will accumulate enough sand to set the block in motion. 

The coefficients of static and kinetic friction are 0.60 and 0.50 respectively. 

 

Determine the mass of sand in [kg], including the bucket, needed to start the block moving. 

Find the blocks acceleration, in [m/s2] up the plane?  

The existing solution in the libarary is wrong. I know the correct answer to the first question is 20.39kg because half the weight of the sand is absorbed by the pulley system. Now what is the answer to the second question on the acceleration?
10 g
m
Transcribed Image Text:10 g m
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