The body slides off an inclined plane

Thread starter Adeopapposaurus
Start date Apr 18, 2021
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Body Incline plane Inclined Inclined plane Plane Slide

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SUMMARY

The discussion centers on the physics of an object sliding off an inclined plane, specifically using the equation of motion. The user derived the acceleration (a) as a function of gravitational force (g), angle of inclination (α), and friction coefficient (f). The calculations confirm that with a friction coefficient of 0.26, the object experiences a specific acceleration and velocity over time. The solution appears to be correct based on the provided equations and values.

PREREQUISITES

Understanding of Newton's second law of motion
Familiarity with trigonometric functions in physics
Knowledge of friction coefficients and their impact on motion
Basic algebra for solving equations

NEXT STEPS

Study the effects of varying friction coefficients on inclined plane motion
Learn about the role of angle of inclination in determining acceleration
Explore advanced topics in dynamics, such as rotational motion on inclined planes
Investigate real-world applications of inclined plane physics in engineering

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Students of physics, educators teaching mechanics, and engineers involved in motion analysis will benefit from this discussion.

Apr 18, 2021

Adeopapposaurus

Homework Statement: The body slides off an inclined plane with an inclination angle of α = 60°. After t = 2s, the body speed is v = 14.7 m/s. Find the friction coefficient f. The initial velocity of the body is 0 m/s and the gravity acceleration g = 10 m/s^2 .

Relevant Equations: F = f * N
F = fmg*cos(α)
ma = mg * sinα - fmg * cosα

ma = mg * sinα - fmg * cosα
a = g (sinα-f * cosα)
v = g*t(sinα - f * cosα)
14.7 = 10 * 2 (sin60 - f * cos60)
f = 0.26

Can someone please check if my solution is correct? I'd really appreciate that.

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Apr 18, 2021

PeroK

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Looks right.

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