- #31
lollikey
- 33
- 0
the forces in the x direction are fgx and fst
9.8msin(theta) + (9.8m)cos(theta) * .7
9.8msin(theta) + (9.8m)cos(theta) * .7
Max Angle of Incline for Box Sliding w/ Friction on Ramps
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SUMMARY
The maximum angle of incline for a box sliding with friction on ramps is determined using static and kinetic friction coefficients. Given a coefficient of static friction of 0.7 and kinetic friction of 0.5, the correct approach involves applying Newton's second law and resolving forces into components. The final equation derived is tan(theta) = 0.7, leading to a maximum angle of approximately 34.99 degrees for static equilibrium. This analysis is essential for understanding the dynamics of objects on inclined planes.
PREREQUISITES- Understanding of Newton's second law of motion
- Knowledge of static and kinetic friction coefficients
- Ability to resolve forces into components on inclined planes
- Familiarity with trigonometric functions (sine, cosine, tangent)
- Study the derivation of forces on inclined planes using free-body diagrams
- Learn about the applications of static and kinetic friction in real-world scenarios
- Explore advanced topics in dynamics, such as friction in non-inertial frames
- Practice solving problems involving inclined planes and friction using various coefficients
Students in physics courses, particularly those studying mechanics, as well as educators and tutors looking to enhance their understanding of friction and motion on inclined surfaces.