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Bernardin, Susan

doi:10.2307/j.ctv11sn660.22

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Sliding Down With Constant Speed2

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2021

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“…In this section, we find the shape of the curved hill profile for which a body can slide down at a constant speed. Using the work-energy theorem, equations ( 4), (7), and (10), for constant…”

Section: Sliding Down With Constant Speedmentioning

confidence: 99%

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Sliding down a rough curved hill

Ivchenko

2021

Eur. J. Phys.

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In this paper, we analyse the process of a particle sliding down an arbitrary curved hill in the presence of friction. We show that in this case, the kinetic friction force turns out to be effectively dependent on the speed. We find that the final speed for each concave (convex) profile should be less (greater) than that for the corresponding inclined plane. In the limit of extremely small final speed or profiles of the hill close to linear, the final speed does not depend on the shape of the trajectory even in the presence of kinetic friction. As an illustrative example, we perform the calculation of the final speed for a concave hill in the form of a quarter circle. We also derive the shape of the curved hill profile for which a body can slide down at a constant speed.

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Section: Sliding Down With Constant Speedmentioning

confidence: 99%

“…However, solutions (17) and (18) are valid for any intermediate value of α 0 . Choosing this value, the value of μ and the type of the hill, the reader can use (for example) function 'parametric plots' of Maplesoft software [7] and construct numerically the corresponding hill profile.…”

Section: Sliding Down With Constant Speedmentioning

confidence: 99%

Sliding down a rough curved hill

Ivchenko

2021

Eur. J. Phys.

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Sliding down a rough curved hill

Sliding down a rough curved hill

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