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Question: Answered & Verified by Expert
A bead of mass $100 \mathrm{~g}$ is attached to one end of a spring of natural length $L$ and spring constant $k=\frac{(\sqrt{3}+1) m g}{L}$, where $m$ is the mass of bead. The other end of the spring is fixed at point $A$ on a smooth vertical ring of radius $R$ as shown in the figure. The normal reaction at $B$ just after it is released to move is (take, $g=9.8 \mathrm{~ms}^{-2}$ )

PhysicsLaws of MotionAP EAMCETAP EAMCET 2018 (23 Apr Shift 2)
Options:
  • A $1.73 \mathrm{~N}$
  • B ,
    $2.23 \mathrm{~N}$
  • C $2.44 \mathrm{~N}$
  • D $2.55 \mathrm{~N}$
Solution:
1301 Upvotes Verified Answer
The correct answer is: $2.55 \mathrm{~N}$
Normal reaction $=$ Resultant of spring force $k x$ and weight $\mathrm{mg}$.
$$
=\sqrt{\left(k^2 x^2+m^2 g^2\right)}=2.55 \mathrm{~N}
$$

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