Question

On a smooth inclined plane a body of mass M is attached between two springs. The other ends of the springs are fixed to firm supports. If each spring has a force constant k, the period of oscillation of the body is (assuming the spring as massless) –

• A. $2 \pi \sqrt { \frac { \mathrm { M } } { 2 \mathrm { k } } }$
• B. $2 \pi \sqrt { \frac { 2 \mathrm { M } } { \mathrm { k } } }$
• C.
• D. $2 \pi \sqrt { \frac { \mathrm { M } \sin \theta } { \mathrm { k } } }$

Answer 1

Answer: (A)

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

Answer 2

T = $2 \pi \sqrt { \frac { \mathrm { M } } { 2 \mathrm { k } } }$ [k_eq = 2k]