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

In summary, the "body slides off an inclined plane" phenomenon, also known as the inclined plane problem, is the motion of a body sliding down a sloped surface under the influence of gravity. This motion is affected by factors such as the angle of the incline, the mass of the body, and the force of gravity. The steeper the angle of the incline, the faster the body will slide down, while a smaller angle results in a slower descent. The mass of the body also plays a role, as a heavier body will require more force to accelerate down the incline and will therefore slide down slower than a lighter body. These principles have real-life applications in engineering and physics, such as in the design of ramps and

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.

FAQ: The body slides off an inclined plane

What is the body sliding off an inclined plane?

The body sliding off an inclined plane is a physical phenomenon where an object placed on an inclined plane starts to move due to the force of gravity acting on it.

What factors affect the body sliding off an inclined plane?

The factors that affect the body sliding off an inclined plane include the angle of the inclined plane, the mass of the object, and the coefficient of friction between the object and the inclined plane.

How does the angle of the inclined plane affect the body sliding off?

The angle of the inclined plane affects the body sliding off by determining the force of gravity acting on the object. As the angle increases, the force of gravity also increases, causing the object to slide down the inclined plane faster.

What is the coefficient of friction and how does it affect the body sliding off?

The coefficient of friction is a measure of the resistance between two surfaces in contact. It affects the body sliding off by determining how much force is needed to overcome the friction and allow the object to slide down the inclined plane.

What is the significance of studying the body sliding off an inclined plane?

Studying the body sliding off an inclined plane allows us to understand the laws of motion and the effects of gravity and friction on objects. This knowledge is essential in fields such as engineering, physics, and sports science.