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EX2.1-wheelchair-aud_2 - Copy

EX2.1-wheelchair-aud_2 - Copy - m F μ θ a Relates forces...

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Design of Wheelchair Ramps
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EX2.1 For this example, we will just model the wheelchair as a simple block going up an inclined plane with an initial speed of 0.2 m/s. We can then vary different parameters to get an idea of the acceleration up (or down) the ramp. Let the coefficient of kinetic friction be μ k , the combined mass of the person and chair to be m, and the force of the helper pushing to be F directed in the horizontal direction only. F θ Type of problem/approach: Given: Find: F θ N W f x y ma x We’ll make a general equation first, then input several different numbers below to determine the accelerations.
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Unformatted text preview: m, F, μ , θ a Relates forces and accelerations, so Newton’s second law/Kinetics FBD MAD EOM Solve this for N Can now use a spreadsheet or computer program to determine accelerations F m μ θ accel 200 N 80 kg 0.1 5 0.6364 100 N 80 kg 0.1 5-0.5979 100 N 60 kg 0.1 5-0.1865 B ody A xes R eplace supports F orces D imensions Sketch: 2 4 6 8 10-1.2-0.8-0.4 0.4 0.8 Ramp ang le (degrees) Acceleration (m/sec 2 ) We can even graph acceleration vs ramp angle (F= 100 N, m= 60 kg, μ = 0.1) arctan (1/12) = 4.76 o...
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