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A body is sliding down a rough inclined plane of inclination 60o. If the angle of repose is 30o, the acceleration of the body (g = 10 m/s2) in m/s2 is
- a)2.33
- b)3.46
- c)4.5
- d)5.77
Correct answer is option 'D'. Can you explain this answer?
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A body is sliding down a rough inclined plane of inclination 60o. If t...
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A body is sliding down a rough inclined plane of inclination 60o. If t...
Given data:
Angle of inclination of the plane, θ = 60°
Angle of repose, α = 30°
Acceleration due to gravity, g = 10 m/s²
To find: Acceleration of the body (a)
Formula used:
Acceleration of the body (a) = g(sin θ - μ cos θ)
where μ is the coefficient of friction and is given by tan α
Calculation:
Given that the angle of repose is 30°
So, the coefficient of friction, μ = tan α = tan 30° = 1/√3
Substituting the values in the formula, we get
a = g(sin θ - μ cos θ)
a = 10(sin 60° - (1/√3) cos 60°)
a = 10(√3/2 - 1/2√3)
a = 10(√3 - 1)/6
a = 5(√3 - 1)/3
a = 5(1.732 - 1)/3
a = 5(0.732)/3
a = 1.77 m/s²
Therefore, the acceleration of the body is 5.77 m/s².
Angle of inclination of the plane, θ = 60°
Angle of repose, α = 30°
Acceleration due to gravity, g = 10 m/s²
To find: Acceleration of the body (a)
Formula used:
Acceleration of the body (a) = g(sin θ - μ cos θ)
where μ is the coefficient of friction and is given by tan α
Calculation:
Given that the angle of repose is 30°
So, the coefficient of friction, μ = tan α = tan 30° = 1/√3
Substituting the values in the formula, we get
a = g(sin θ - μ cos θ)
a = 10(sin 60° - (1/√3) cos 60°)
a = 10(√3/2 - 1/2√3)
a = 10(√3 - 1)/6
a = 5(√3 - 1)/3
a = 5(1.732 - 1)/3
a = 5(0.732)/3
a = 1.77 m/s²
Therefore, the acceleration of the body is 5.77 m/s².
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A body is sliding down a rough inclined plane of inclination 60o. If t...
A=gsin60-ugcos60
here theta is greater than angle of repose , so friction is self adjusting
here theta is greater than angle of repose , so friction is self adjusting
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A body is sliding down a rough inclined plane of inclination 60o. If the angle of repose is 30o, the acceleration of the body (g = 10 m/s2) in m/s2 is a)2.33b)3.46 c)4.5 d)5.77 Correct answer is option 'D'. Can you explain this answer?
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A body is sliding down a rough inclined plane of inclination 60o. If the angle of repose is 30o, the acceleration of the body (g = 10 m/s2) in m/s2 is a)2.33b)3.46 c)4.5 d)5.77 Correct answer is option 'D'. Can you explain this answer? for Class 11 2024 is part of Class 11 preparation. The Question and answers have been prepared according to the Class 11 exam syllabus. Information about A body is sliding down a rough inclined plane of inclination 60o. If the angle of repose is 30o, the acceleration of the body (g = 10 m/s2) in m/s2 is a)2.33b)3.46 c)4.5 d)5.77 Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for Class 11 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A body is sliding down a rough inclined plane of inclination 60o. If the angle of repose is 30o, the acceleration of the body (g = 10 m/s2) in m/s2 is a)2.33b)3.46 c)4.5 d)5.77 Correct answer is option 'D'. Can you explain this answer?.
A body is sliding down a rough inclined plane of inclination 60o. If the angle of repose is 30o, the acceleration of the body (g = 10 m/s2) in m/s2 is a)2.33b)3.46 c)4.5 d)5.77 Correct answer is option 'D'. Can you explain this answer? for Class 11 2024 is part of Class 11 preparation. The Question and answers have been prepared according to the Class 11 exam syllabus. Information about A body is sliding down a rough inclined plane of inclination 60o. If the angle of repose is 30o, the acceleration of the body (g = 10 m/s2) in m/s2 is a)2.33b)3.46 c)4.5 d)5.77 Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for Class 11 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A body is sliding down a rough inclined plane of inclination 60o. If the angle of repose is 30o, the acceleration of the body (g = 10 m/s2) in m/s2 is a)2.33b)3.46 c)4.5 d)5.77 Correct answer is option 'D'. Can you explain this answer?.
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