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JEE Main 20236 AprilMorning Shift
Exam
JEE Main
Year
2023
Date
6 April
Shift
Morning Shift
Subject
Physics
Chapter
Laws of Motion

JEE Main 2023 · 6 April · Morning Shift · Physics · Laws of Motion

A small block of mass 100g is tied to a spring of spring constant 7...

A small block of mass 100g100g is tied to a spring of spring constant 7.5Nm−17 . 5N{m}^{- 1} and length 20cm.20cm . The other end of spring is fixed at a particular point A.A . If the block moves in a circular path on a smooth horizontal surface with constant angular velocity 5rads−15rad{s}^{- 1}about point A,A, then tension in the spring is

Options

  1. A0.75N0 . 75N
  2. B0.25N0 . 25N
  3. C0.50N0 . 50N
  4. D1.5N1 . 5N

Correct answer

A. 0.75N0 . 75N

Step-by-step solution

Centripetal force will be provided by the spring force. Let the elongation in the spring be xx, then we can write

⇒kx=mω2(r+x)⇒ kx = m{\omega}^{2} ( r + x )

⇒7.5x=2.5(0.2+x)⇒ 7 . 5x = 2 . 5 ( 0 . 2 + x )

⇒x=0.55=0.1⇒ x = \dfrac{0 . 5}{5} = 0 . 1

Therefore, required tension will beT=kx=0.75NT = kx = 0 . 75N.

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