MCQ
A rectangular block of mass $5\,kg$ attached to a horizontal spiral spring executes simple harmonic motion of amplitude $1\,m$ and time period $3.14\,s$. The maximum force exerted by spring on block is $.......N$.
  • A
    $10$
  • B
    $5$
  • $20$
  • D
    $30$

Answer

Correct option: C.
$20$
c
$\therefore T =3.14=\pi$

$T =\pi=\frac{2 \pi}{\omega} \Rightarrow \omega=2$

$F _{\max }= ma _{\max }$

$= m \left( A \omega^2\right)$

$= mA (2)^2$

$=5 \times 1 \times 4$

$=20\,N$

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