Question

ᴛʜᴇ ᴅɪꜱᴘʟᴀᴄᴇᴍᴇɴᴛ ᴏꜰ ᴀ ᴘᴀʀᴛɪᴄʟᴇ ᴠᴀʀɪᴇꜱ ᴡɪᴛʜ ᴛɪᴍᴇ ᴀᴄᴄᴏʀᴅɪɴɢ ᴛᴏ ᴛʜᴇ ʀᴇʟᴀᴛɪᴏɴ ʏ = ᴀ ꜱɪɴ Ωᴛ + ʙ ᴄᴏꜱ Ωᴛ.
(ᴀ) ᴛʜᴇ ᴍᴏᴛɪᴏɴ ɪꜱ ᴏꜱᴄɪʟʟᴀᴛᴏʀʏ ʙᴜᴛ ɴᴏᴛ ꜱ.ʜ.ᴍ.
(ʙ) ᴛʜᴇ ᴍᴏᴛɪᴏɴ ɪꜱ ꜱ.ʜ.ᴍ. ᴡɪᴛʜ ᴀᴍᴘʟɪᴛᴜᴅᴇ ᴀ + ʙ.
(ᴄ) ᴛʜᴇ ᴍᴏᴛɪᴏɴ ɪꜱ ꜱ.ʜ.ᴍ. ᴡɪᴛʜ ᴀᴍᴘʟɪᴛᴜᴅᴇ ᴀ2 + ʙ2.
(ᴅ) ᴛʜᴇ ᴍᴏᴛɪᴏɴ ɪꜱ ꜱ.ʜ.ᴍ. ᴡɪᴛʜ ᴀᴍᴘʟɪᴛᴜᴅᴇ √(ᴀ2 + ʙ2)

@Nagin_Sorry yad nai aya uh know me ???

${\huge{\underline{\large{\mathbb{\red{ ᥫ᭡SHÌVU♡~}}}}}}$​

Answer 1

Given x = asinwt + bcoswt. . . (i)

Let a = Acoso. . . (ii).

and bAsino. . . (iii)

Squaring adding (ii) and (iii), we get

a² + b² = A²cos2²0 + A²sin² = A²

Eq. (i) can be written as

X= Acososinut + Asinocoswt Asin(wt + o)

It is equation of SHM with amplitude A = √a² + b²

Answer 2

Thnk uh fr ur compliment..

nd ur tooh..

real alanwalkern kese ayyega.. xD

wanna b frnds..