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Olympiad workbookNSEPOscillations

A simple pendulum consisting of a small bob of mass m attached to a massless inextensible string of length , hanging vertically from the ceiling, is oscillating in a vertical plane with an angular amplitude _m such that the maximum tension in its string is three times the minimum tension in the string i.e., T _ =3 ~T _ . The correct option(s) is/are

Options

  1. AThe maximum tension in the string is T _ = mg (3-2 _ m )
  2. BThe maximum tension in the string is T_ = 9 5 m g
  3. CThe maximum velocity of the bob on its way is v_ =3.96 ~ms ⁻¹
  4. DThe angular amplitude _ m lies in the range 4 < _m < 3

Correct answer

D. The angular amplitude _ m lies in the range 4 < _m < 3

Step-by-step solution

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