Gujarati
13.Oscillations
easy

In arrangement given in figure, if the block of mass m is displaced, the frequency is given by

A

$n = \frac{1}{{2\pi }}\sqrt {\left( {\frac{{{k_1} - {k_2}}}{m}} \right)} $

B

$n = \frac{1}{{2\pi }}\sqrt {\left( {\frac{{{k_1} + {k_2}}}{m}} \right)} $

C

$n = \frac{1}{{2\pi }}\sqrt {\left( {\frac{m}{{{k_1} + {k_2}}}} \right)} $

D

$n = \frac{1}{{2\pi }}\sqrt {\left( {\frac{m}{{{k_1} - {k_2}}}} \right)} $

Solution

(b)With respect to the block the springs are connected in parallel combination.
$\therefore $ Combined stiffness $k = k_1+ k_2$ and $n = \frac{1}{{2\pi }}\sqrt {\frac{{{k_1} + {k_2}}}{m}} $

Standard 11
Physics

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