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JEE Main 202125 JulyMorning Shift
Exam
JEE Main
Year
2021
Date
25 July
Shift
Morning Shift
Subject
Physics
Chapter
Oscillations

JEE Main 2021 · 25 July · Morning Shift · Physics · Oscillations

A pendulum bob has a speed of 3m s ^ - 1 at its lowest position....

A pendulum bob has a speed of 3ms−13m{s}^{- 1} at its lowest position. The pendulum is 50cm50cm long. The speed of bob, when the length makes an angle of 60°60 ° to the vertical will be (g=10ms−2)\left(g = 10m{s}^{- 2}\right) ______ ms−1m{s}^{- 1}.A pendulum bob has a speed of 3m s ^ - 1 at its lowest position. The pendulum is 50cm long. The speed of bob, when the

Correct answer

0

Step-by-step solution

A pendulum bob has a speed of 3m s ^ - 1 at its lowest position. The pendulum is 50cm long. The speed of bob, when the

Applying work energy theorem:

wg+wT=\DeltaK{w}_{g} + {w}_{T} = \DeltaK

−mgl(1−cos⁡60°)=12mv2−12mu2- mgl\left(1 - \cos 60 °\right) = \dfrac{1}{2}m{v}^{2} - \dfrac{1}{2}m{u}^{2}

v2=u2−2gl(1−cos⁡60°){v}^{2} = {u}^{2} - 2gl\left(1 - \cos 60 °\right)

v2=9−2×10×0.5(12){v}^{2} = 9 - 2 \times 10 \times 0 . 5\left(\dfrac{1}{2}\right)

v2=4{v}^{2} = 4

v=2ms−1v = 2m{s}^{- 1}

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