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JEE Main 202310 AprilEvening Shift
Exam
JEE Main
Year
2023
Date
10 April
Shift
Evening Shift
Subject
Physics
Chapter
Oscillations

JEE Main 2023 · 10 April · Evening Shift · Physics · Oscillations

A rectangular block of mass 5kg attached to a horizontal spiral...

A rectangular block of mass 5kg5kg attached to a horizontal spiral spring executes simple harmonic motion of amplitude 1m1m and time period 3.14s3 . 14s. The maximum force exerted by spring on block is ___ NN.

Correct answer

0

Step-by-step solution

By Newton's second law,

F = m{a}_\max.

The maximum acceleration for a SHM is given by

{a}_\max = {\omega}^{2}A . . . ( i )

The time period is given by

T=2πω=3.14sT = \dfrac{2\pi}{\omega} = 3 . 14s

⇒ω=2πT=2π3.14=2rads−1⇒ \omega = \dfrac{2\pi}{T} = \dfrac{2\pi}{3 . 14} = 2rad{s}^{- 1}

Thus, the maximum acceleration from equation (i)

{a}_\max = 4 \times 1 = 4m{s}^{- 2}

The maximum force is

F=5kg×4ms−2=20NF = 5kg \times 4m{s}^{- 2} = 20N

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