Kinematics Question 547

Question: A body of mass m hangs at one end of a string of length l, the other end of Which is fixed. It’s given a horizontal velocity so that the string would just reach where it makes an angle of 60o with the vertical. The tension in the string at mean position it’s [ it’sM Dhanbad 1994]

Options:

A) 2mg

B)mg

C) 3mg

D) 3mg

Show Answer

Answer:

Correct Answer: A

Solution:

When body is released from the position p (inclined at angle q from vertical) then velocity at mean position v=2gl(1cosθ) \ Tension at the lowest point = mg+mv2l

=mg+ml[2gl(1cos60)]

=mg+mg=2mg



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