Question

Find period of oscillation if mass 'm' is displaced parallel to earth's surface & released?

• A. $2\pi \sqrt{\frac{k_{1}+k_{2}}{m}}$
• B. $2\pi \sqrt{\frac{k_{1}k_{2}}{(m)k_{1}+k_{2}}}$
• C. $2\pi \sqrt{\frac{m}{k_{1}+k_{2}}}$
• D. $2\pi \sqrt{\frac{(m)k_{1}+k_{2}}{k_{1}k_{2}}}$

Answer 1

Answer: (C)

$2\pi \sqrt{\frac{m}{k_{1}+k_{2}}}$

Answer 2

$k_{eq}=k_{1}+k_{2}$ (As the spring are parallel)
$T=2\pi\sqrt{\frac{m}{k_{eq}}}=2\pi\sqrt{\frac{m}{k_{1}+k_{2}}}$

So, the correct answer is (C): $2\pi \sqrt{\frac{m}{k_{1}+k_{2}}}$