Question

Four spring connect with mass as shown in figure. Find frequency of S.H.M.

• A. $\frac { 1 } { 2 \pi }$ $\sqrt { \frac { \mathrm { k } } { 4 \mathrm { M } } }$
• B. $\frac { 1 } { 2 \pi }$ $\sqrt { \frac { 4 \mathrm { k } } { \mathrm { M } } }$
• C. $\frac { 1 } { 2 \pi }$
• D. $\frac { 1 } { 2 \pi }$ $\sqrt { \frac { 7 \mathrm {~K} } { \mathrm { M } } }$

Answer 1

Answer: (B)

$\frac { 1 } { 2 \pi }$ $\sqrt { \frac { 4 \mathrm { k } } { \mathrm { M } } }$

Answer 2

These two connected in series. So

K¢ = = k

Now all are in parallel so k_eq = 4k

so freq. =$\frac { 1 } { 2 \pi }$ $\sqrt { \frac { 4 \mathrm { k } } { \mathrm { M } } }$