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Category: Oscillation and Waves

how-do-i-prove-o-t-cos-2-t-dt-0-

Question Number 34382 by rashedul last updated on 05/May/18 $$\mathrm{how}\:\mathrm{do}\:\mathrm{i}\:\mathrm{prove} \\ $$$$\int_{\mathrm{o}} ^{\mathrm{t}} \mathrm{cos}\:\mathrm{2}\left(\omega\mathrm{t}+\alpha\right)\mathrm{dt}=\mathrm{0} \\ $$ Answered by tanmay.chaudhury50@gmail.com last updated on 05/May/18 $$=\frac{\mid{sin}\left(\mathrm{2}{wt}+\mathrm{2}\alpha\right)\underset{\mathrm{0}} {\overset{{T}}…

A-mass-oscillating-on-a-spring-has-amplitude-of-1-2m-and-a-period-of-2s-Deduce-the-equation-for-the-displacement-x-if-the-timing-starts-at-the-instant-when-the-masd-has-its-maximum-displacement-b-cal

Question Number 32757 by NECx last updated on 01/Apr/18 $${A}\:{mass}\:{oscillating}\:{on}\:{a}\:{spring} \\ $$$${has}\:{amplitude}\:{of}\:\mathrm{1}.\mathrm{2}{m}\:{and}\:{a}\:{period} \\ $$$${of}\:\mathrm{2}{s}.{Deduce}\:{the}\:{equation}\:{for} \\ $$$${the}\:{displacement}\:{x}\:{if}\:{the}\:{timing} \\ $$$${starts}\:{at}\:{the}\:{instant}\:{when}\:{the}\:{masd} \\ $$$${has}\:{its}\:{maximum}\:{displacement}. \\ $$$$\left.{b}\right){calculate}\:{the}\:{time}\:{interval}\:{from} \\ $$$${t}=\mathrm{0}\:{before}\:{the}\:{displacement}\:{is} \\…

A-body-undergoing-SHM-about-the-origin-has-its-equation-x-0-2cos-5pit-Find-its-average-speed-from-t-0-to-t-0-7-sec-

Question Number 32585 by rahul 19 last updated on 28/Mar/18 $$\boldsymbol{{A}}\:{body}\:{undergoing}\:{SHM}\:{about}\:{the} \\ $$$${origin}\:{has}\:{its}\:{equation}\:{x}=\mathrm{0}.\mathrm{2cos}\:\mathrm{5}\pi{t}. \\ $$$${Find}\:{its}\:{average}\:{speed}\:{from}\:{t}=\mathrm{0}\:{to} \\ $$$${t}=\mathrm{0}.\mathrm{7}\:{sec}. \\ $$ Commented by rahul 19 last updated…

A-wave-of-frequency-10hz-forms-a-stationery-wave-pattern-in-a-medium-where-the-velocity-is-20cms-1-what-is-the-distance-between-the-adjacent-nodes-pls-help-

Question Number 30861 by Victor31926 last updated on 27/Feb/18 $$\mathrm{A}\:\mathrm{wave}\:\mathrm{of}\:\mathrm{frequency}\:\mathrm{10hz}\:\mathrm{forms} \\ $$$$\mathrm{a}\:\mathrm{stationery}\:\mathrm{wave}\:\mathrm{pattern}\:\mathrm{in}\:\mathrm{a}\:\mathrm{medium} \\ $$$$\mathrm{where}\:\mathrm{the}\:\mathrm{velocity}\:\mathrm{is}\:\mathrm{20cms}^{−\mathrm{1}} \\ $$$$\mathrm{what}\:\mathrm{is}\:\mathrm{the}\:\mathrm{distance}\:\mathrm{between}\:\mathrm{the}\:\mathrm{adjacent}\:\mathrm{nodes}? \\ $$$$ \\ $$$$\mathrm{pls}\:\mathrm{help}.. \\ $$ Answered by 803jaideep@gmail.com…

we-know-y-asin-t-kx-is-equation-of-wave-which-velocity-will-be-k-But-what-will-be-the-velocity-of-a-wave-that-is-created-from-superposition-of-two-sine-wave-of-different-velocity-lik

Question Number 154966 by n0y0n last updated on 23/Sep/21 $$\:\mathrm{we}\:\mathrm{know}\:\:\mathrm{y}=\mathrm{asin}\left(\omega\mathrm{t}−\mathrm{kx}\right)\:\mathrm{is}\: \\ $$$$\mathrm{equation}\:\mathrm{of}\:\mathrm{wave} \\ $$$$\:\mathrm{which}\:\mathrm{velocity}\:\mathrm{will}\:\mathrm{be}\:\frac{\omega}{\mathrm{k}} \\ $$$$\:\:\mathrm{But}\:\mathrm{what}\:\:\mathrm{will}\:\mathrm{be}\:\mathrm{the}\:\mathrm{velocity}\:\mathrm{of}\: \\ $$$$\:\:\mathrm{a}\:\mathrm{wave}\:\mathrm{that}\:\mathrm{is}\:\mathrm{created}\:\mathrm{from} \\ $$$$\:\mathrm{superposition}\:\mathrm{of}\:\mathrm{two}\:\mathrm{sine}\:\mathrm{wave}\:\mathrm{of}\: \\ $$$$\mathrm{different}\:\mathrm{velocity}\:\mathrm{like}\:\mathrm{bellow} \\ $$$$\:\:\:\mathrm{y}=\mathrm{5sin}\left(\mathrm{6t}−\mathrm{x}\right)\mathrm{cos}\left(\mathrm{13t}−\mathrm{6x}\right)\:?\: \\…