Question

Two blocks each of mass m is connected to the spring of spring constant k as shown in the figure.

If the blocks are displaced slightly in opposite directions and released, they will execute simple harmonic motion. The time period of oscillation is

• A.
• B. $2 \pi \sqrt { \frac { \mathrm {~m} } { 2 \mathrm { k } } }$
• C. $2 \pi \sqrt { \frac { \mathrm {~m} } { 4 \mathrm { k } } }$
• D.

Answer 1

Answer: (B)

$2 \pi \sqrt { \frac { \mathrm {~m} } { 2 \mathrm { k } } }$

Answer 2

Reduced mass of the system

$\mu = \frac { ( m ) ( m ) } { m + m } = \frac { m } { 2 }$

$\therefore$ Time Period