Question

A particle of mass m is attached to three identical springs A, B and C each of force constant k as shown in figure. If the particle of mass m is pushed slightly against the spring A and released, then the time period of oscillation is –

• A. 2p$\sqrt { \frac { 2 \mathrm {~m} } { \mathrm { k } } }$
• B. 2p
• C. 2p $\sqrt { \frac { \mathrm { m } } { \mathrm { k } } }$
• D. 2p $\sqrt { \frac { \mathrm { m } } { 3 \mathrm { k } } }$

Answer 1

Answer: (B)

2p

Answer 2

T = $2 \pi \sqrt { \frac { \mathrm { M } } { \mathrm { K } \left( 1 + 2 \cos ^ { 2 } \theta \right) } }$

= $2 \pi \sqrt { \frac { M } { K \left( 1 + 2 \cos ^ { 2 } 45 \right) } }$ = $2 \pi \sqrt { \frac { \mathrm { M } } { 2 \mathrm {~K} } }$