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A body moves along a circular path of radius 10 m and the coefficient of friction is 0.5. What should be the angular velocity of the body, if it is not to slip on the surface?
  • a)
    0.1 rad-s-1
  • b)
    0.7 rad-s-1
  • c)
    5 rad-s-1
  • d)
    10 rad-s-1
Correct answer is option 'B'. Can you explain this answer?
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A body moves along a circular path of radius 10 m and the coefficient ...
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A body moves along a circular path of radius 10 m and the coefficient ...
Given:
Radius of circular path, r = 10 m
Coefficient of friction, μ = 0.5

To Find: Angular velocity, ω

Formula:
The maximum value of the static friction force is given by
fs ≤ μN
where N is the normal force acting on the body.
At the maximum value of static friction, the body is just about to slip.
Centripetal force, F = mv²/r
where m is the mass of the body and v is its velocity.
For the body to move in a circular path,
F = fs
mv²/r = μN
v²/r = μg
v = √(μgr)
ω = v/r = √(μg/r)

Calculation:
Given, r = 10 m and μ = 0.5
Acceleration due to gravity, g = 9.8 m/s²
ω = √(μg/r)
ω = √(0.5 × 9.8/10)
ω = √(0.49)
ω = 0.7 rad/s

Therefore, the angular velocity of the body should be 0.7 rad/s to avoid slipping on the surface. Hence, option (b) is correct.
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A body moves along a circular path of radius 10 m and the coefficient of friction is 0.5. What should be the angular velocity of the body, if it is not to slip on the surface?a)0.1 rad-s-1b)0.7 rad-s-1c)5 rad-s-1d)10 rad-s-1Correct answer is option 'B'. Can you explain this answer? for JEE 2025 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about A body moves along a circular path of radius 10 m and the coefficient of friction is 0.5. What should be the angular velocity of the body, if it is not to slip on the surface?a)0.1 rad-s-1b)0.7 rad-s-1c)5 rad-s-1d)10 rad-s-1Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for JEE 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A body moves along a circular path of radius 10 m and the coefficient of friction is 0.5. What should be the angular velocity of the body, if it is not to slip on the surface?a)0.1 rad-s-1b)0.7 rad-s-1c)5 rad-s-1d)10 rad-s-1Correct answer is option 'B'. Can you explain this answer?.
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