A bead of mass m stays at point P(a,b) on a wire bent in the shape of a parabola y = Cx² and rotating with angular speed ω (see figure). The value of ω is (neglect friction) &lt;!-- [if !supportLineBreakNewLine]--&gt; &lt;!--[endif]--&gt;

2√(2gC)

√(2gC/ab)

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Overview Physics Laws of Motion Physics Class 11th

A bead of mass m stays at point P(a,b) on a wire bent in the shape of a parabola y = Cx² and rotating with angular speed ω (see figure). The value of ω is (neglect friction)

Option 1 -

√(2gC/ab)

Option 2 -

√(2g/C)

Option 3 -

2√(2gC)

Option 4 -

2√(gC)

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1 Answer

Answered by

alok kumar singh | Contributor-Level 10

a month ago

Correct Option - 3

Detailed Solution:

mω²acosθ = mgsinθ
ω = √ (gtanθ/a)
y = 4cx²

tanθ = dy/dx = 8xC
(tanθ)? , b = 8aC
ω = √ (g×8aC/a) = 2√ (2gC)

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