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A cylindrical vessel filled with water is released on a fixed

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A cylindrical vessel filled with water is released on a fixed inclined surface of angle $θ$ as shown in figure The friction coefficient of surface with vessel is $μ (< tan θ)$ . Then the constant angle made by the surface of water with the incline will be: (Neglect the viscosity of liquid)

Name: Video solution 1: A cylindrical vessel filled with water is released on a fixed inclined surface of angle θ as shown in figure The friction coefficient of surface with vessel is μ(<tanθ). Then the constant angle made by the surface of water with the incline will be: (Neglect the viscosity of liquid)
Uploaded: 2023-05-06T10:41:44.000Z
Duration: 14 min
Description: Video solution 1: A cylindrical vessel filled with water is released on a fixed inclined surface of angle θ as shown in figure The friction coefficient of surface with vessel is μ(<tanθ). Then the constant angle made by the surface of water with the incline will be: (Neglect the viscosity of liquid)

tan^{- 1} μ

θ - tan^{- 1} μ

θ + tan^{- 1} μ

cot^{- 1} μ

Views: 6,326 students

Updated on: May 6, 2023

Book:

Physics Galaxy Mechanics Vol 1 (Ashish Arora)

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Theodore Discussed

A cylindrical vessel filled with water is released on a fixed inclined surface of angle

θ

as shown in figure The friction coefficient of surface with vessel is

μ (< tan θ)

. Then the constant angle made by the surface of water with the incline will be: (Neglect the viscosity of liquid)

15 mins ago

Discuss this question LIVE

15 mins ago

Text solutionVerified

(A) Figure below shows forces acting on a 'particle' on the surface, with respect to vessel.
Solution Image

m g sin θ - μ m g cos θ

is pseudo force
Here if

ϕ

is angle made by water surface with incline we use

tan ϕ = \frac{μ m g c o s θ}{m g c o s θ} = μ

ϕ

is angle between normal to the inclined surface and the resultant force. The same angle will be formed between the surface of water \& the inclined surface.

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Question Text	A cylindrical vessel filled with water is released on a fixed inclined surface of angle $θ$ as shown in figure The friction coefficient of surface with vessel is $μ (< tan θ)$ . Then the constant angle made by the surface of water with the incline will be: (Neglect the viscosity of liquid)
Updated On	May 6, 2023
Topic	Mechanical Properties of Fluids
Subject	Physics
Class	Class 11
Answer Type	Text solution:1 Video solution: 1
Upvotes	234
Avg. Video Duration	14 min

A cylindrical vessel filled with water is released on a fixed inclined surface of angle $θ$ as shown in figure The friction coefficient of surface with vessel is $μ (< tan θ)$ . Then the constant angle made by the surface of water with the incline will be: (Neglect the viscosity of liquid)

Text solutionVerified

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A cylindrical vessel filled with water is released on a fixed inclined surface of angle θ as shown in figure The friction coefficient of surface with vessel is μ(<tanθ). Then the constant angle made by the surface of water with the incline will be: (Neglect the viscosity of liquid)

Text solutionVerified

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Practice questions from Physics Galaxy Mechanics Vol 1 (Ashish Arora)

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A cylindrical vessel filled with water is released on a fixed inclined surface of angle $θ$ as shown in figure The friction coefficient of surface with vessel is $μ (< tan θ)$ . Then the constant angle made by the surface of water with the incline will be: (Neglect the viscosity of liquid)