JEE MAIN - Physics (2022 - 28th June Morning Shift - No. 18)

A pendulum is suspended by a string of length 250 cm. The mass of the bob of the pendulum is 200 g. The bob is pulled aside until the string is at 60$$^\circ$$ with vertical as shown in the figure. After releasing the bob, the maximum velocity attained by the bob will be ____________ ms$$-$$1. (if g = 10 m/s2)

JEE Main 2022 (Online) 28th June Morning Shift Physics - Simple Harmonic Motion Question 59 English

Answer
5

Explanation

$${1 \over 2}m{v^2} = mgl(1 - \cos \theta )$$

$$ \Rightarrow v = \sqrt {2gl(1 - \cos \theta )} $$

$$ = \sqrt {2 \times 10 \times 2.5 \times {1 \over 2}} $$

$$ = 5$$ m/s

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