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 sightly against the spring 'A' and released. Find the period of oscillation

A particle of mass 'm' is attached to three identical springs A, B and

1.	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 sightly against the spring 'A' and released. Find the period of oscillation
Answer» <html><body><p></p>Solution :When the particle of mass .m. at .0. is pushed by .y. in the direction of A, spring .A. will be compressed by .y. while B and C will be stretched by `y.= y cos45^(@)` , so the total restoring <a href="https://interviewquestions.tuteehub.com/tag/force-22342" style="font-weight:bold;" target="_blank" title="Click to know more about FORCE">FORCE</a> on the mass .m. <a href="https://interviewquestions.tuteehub.com/tag/along-1974109" style="font-weight:bold;" target="_blank" title="Click to know more about ALONG">ALONG</a> .A0. is `RF=F_(A)+F_(B) cos <a href="https://interviewquestions.tuteehub.com/tag/45-316951" style="font-weight:bold;" target="_blank" title="Click to know more about 45">45</a> + F_(C)Cos 45 = ky + <a href="https://interviewquestions.tuteehub.com/tag/2-283658" style="font-weight:bold;" target="_blank" title="Click to know more about 2">2</a>(ky^(1)) cos 45= ky+2k(ycos45)cos45` <br/> `<a href="https://interviewquestions.tuteehub.com/tag/f-455800" style="font-weight:bold;" target="_blank" title="Click to know more about F">F</a>= -k^(1)y "with"k^(1)=2k implies T= 2pisqrt((m)/(k^(1)))= 2pisqrt((m)/(2k))`</body></html>