SATHEE: Kinematics Question 559

Kinematics Question 559

Question: A simple pendulum oscillates in a vertical plane.When it passes through the mean position, the tension in the string is 3 times the weight of the pendulum bob.What is the maximum displacement of the pendulum of the string with respect to the vertical [Or it’ssa JEE 2002]

Options:

A) $30^{o}$

B) $45^{o}$

C) $60^{o}$

D) $90^{o}$

Show Answer

Answer:

Correct Answer: D

Solution:

Tension at mean position, $m g + \frac{m v^{2}}{r} = 3 m g$

$v = \sqrt{2 g l}$ -(i) and if the body d it’splaces by angle q with the vertical then

$v = \sqrt{2 g l (1 - \cos θ)}$ -(ii) Comparing (i) and (ii), $\cos θ = 0$

therefore $θ = 90^{\circ}$

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Kinematics Question 559

Question: A simple pendulum oscillates in a vertical plane.When it passes through the mean position, the tension in the string is 3 times the weight of the pendulum bob.What is the maximum displacement of the pendulum of the string with respect to the vertical [Or it’ssa JEE 2002]

Options:

Answer:

Solution:

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