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4.10 FE/EIT - Block on frictionless inclined plane (2D analysis). ny A man pushes a wheelbarrow up a plank inclined by angle 0. Unit vector nx is horizontally-right, ny is vertically-upward, bx is along the plank, and by is normal to the plank. The wheelbarrow is modeled as a particle P of mass m in frictionless contact with the plank. The man pushes the wheelbarrow with a force Fbx. Relate bx, by to nx, ny and complete the associated rotation table. bR" nx Result: ny Redraw bx, by nx + ny and nx, ny in by nx + ny a useful way. = bx cos(0) by Draw P's free-body diagram (FBD) and form the net force on P. Result: in terms of F, m, g (Earth's gravitational acceleration) and your own symbols. FNet bx + • Knowing P is stationary, set ny Net = 0 (static equilibrium) and solve for F. Hint: Form FNet û = 0, where û is a cleverly chosen unit vector. •Repeat the analysis when the man instead applies a horizontal force H nx. Hint: Cleverly choose û so the normal force does not appear in the scalar equation. Result: (only in terms of m, 9, 0). (with only Fbx) F = (with only Hnx) H = mass m FBD of P by bx By

4.10 FE/EIT - Block on frictionless inclined plane (2D analysis). ny A man pushes a wheelbarrow up a plank inclined by angle 0. Unit vector nx is horizontally-right, ny is vertically-upward, bx is along the plank, and by is normal to the plank. The wheelbarrow is modeled as a particle P of mass m in frictionless contact with the plank. The man pushes the wheelbarrow with a force Fbx. Relate bx, by to nx, ny and complete the associated rotation table. bR" nx Result: ny Redraw bx, by nx + ny and nx, ny in by nx + ny a useful way. = bx cos(0) by Draw P's free-body diagram (FBD) and form the net force on P. Result: in terms of F, m, g (Earth's gravitational acceleration) and your own symbols. FNet bx + • Knowing P is stationary, set ny Net = 0 (static equilibrium) and solve for F. Hint: Form FNet û = 0, where û is a cleverly chosen unit vector. •Repeat the analysis when the man instead applies a horizontal force H nx. Hint: Cleverly choose û so the normal force does not appear in the scalar equation. Result: (only in terms of m, 9, 0). (with only Fbx) F = (with only Hnx) H = mass m FBD of P by bx By

Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
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4.10 FE/EIT - Block on frictionless inclined plane (2D analysis). ny A man pushes a wheelbarrow up a plank inclined by angle 0. Unit vector nx is horizontally-right, ny is vertically-upward, bx is along the plank, and by is normal to the plank. The wheelbarrow is modeled as a particle P of mass m in frictionless contact with the plank. The man pushes the wheelbarrow with a force Fbx. Relate bx, by to nx, ny and complete the associated rotation table. bR" nx Result: ny Redraw bx, by nx + ny and nx, ny in by nx + ny a useful way. = bx cos(0) by Draw P's free-body diagram (FBD) and form the net force on P. Result: in terms of F, m, g (Earth's gravitational acceleration) and your own symbols. FNet bx + • Knowing P is stationary, set ny Net = 0 (static equilibrium) and solve for F. Hint: Form FNet û = 0, where û is a cleverly chosen unit vector. •Repeat the analysis when the man instead applies a horizontal force H nx. Hint: Cleverly choose û so the normal force does not appear in the scalar equation. Result: (only in terms of m, 9, 0). (with only Fbx) F = (with only Hnx) H = mass m FBD of P by bx By
Transcribed Image Text:4.10 FE/EIT - Block on frictionless inclined plane (2D analysis). ny A man pushes a wheelbarrow up a plank inclined by angle 0. Unit vector nx is horizontally-right, ny is vertically-upward, bx is along the plank, and by is normal to the plank. The wheelbarrow is modeled as a particle P of mass m in frictionless contact with the plank. The man pushes the wheelbarrow with a force Fbx. Relate bx, by to nx, ny and complete the associated rotation table. bR" nx Result: ny Redraw bx, by nx + ny and nx, ny in by nx + ny a useful way. = bx cos(0) by Draw P's free-body diagram (FBD) and form the net force on P. Result: in terms of F, m, g (Earth's gravitational acceleration) and your own symbols. FNet bx + • Knowing P is stationary, set ny Net = 0 (static equilibrium) and solve for F. Hint: Form FNet û = 0, where û is a cleverly chosen unit vector. •Repeat the analysis when the man instead applies a horizontal force H nx. Hint: Cleverly choose û so the normal force does not appear in the scalar equation. Result: (only in terms of m, 9, 0). (with only Fbx) F = (with only Hnx) H = mass m FBD of P by bx By
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