Home
Class 12
PHYSICS
Categories the following function of tim...

Categories the following function of time `3 sin ( 2 omegat - (pi)/( 4))` as
(a) SHM , (b) Periodic but not SHM. Also give the period.

Text Solution

Verified by Experts

`3 sin( 2omegat- (pi)/(4)) ` represents S.H.M. with time period `(2pi)/( 2 omegat)` comparing it with `sin ((2pi)/( T) + phi)`
Promotional Banner

Topper's Solved these Questions

  • OSCILLATIONS

    AAKASH INSTITUTE|Exercise Try Yourself|86 Videos

  • OSCILLATIONS

    AAKASH INSTITUTE|Exercise ASSIGNMENT ( SECTION -A)|58 Videos

  • NUCLEI

    AAKASH INSTITUTE|Exercise ASSIGNMENT (SECTION-D)|10 Videos

  • PHYSICAL WORLD

    AAKASH INSTITUTE|Exercise ASSIGNMENT (Section-B)|5 Videos

Similar Questions

Explore conceptually related problems

Categorise the following function of time : sin omega t + sin 5 omega t as (a) S.H.M. (b) Periodic but no S.H.M. .Also give the period. Hint : Find the smallest interval of time after which the sum of 3 terms repeats

Categorise the following function of time : cos^(2) omega t as (a) S.H.M. (b) Periodic but not S.H.M. Also , give the period Hint : cos^(2) omegat = (1)/(2) + (1)/(2) cos 2 omegat

Categorise the following function of time : cos^(3) omega t as (a) S.H.M. (b) Periodic but not S.H.M. Also find the period. Hint : cos^(3) omegat= (1)/(4)( 3 cos omegat- cos 3 omegat )

Categorise the following function of time e^(omega^(2)t) as (a) S.H.M. (b) Periodic but not S.H.M. Also , give period if it is periodic motion. Hint : Doest it repeat itself ?

Which of the following functions of time represent (a) simple harmonic motion and (b) periodic but not simple harmonic motion? Give the period for each case. (i) sinomegat-cosomegat (ii) sin^(2)omegat (iii) cosomegat+2sin^(2)omegat

Which of the following functions of time represent (a) simple harmonic, (b) periodic but not simple harmonic , and (c) non-periodic motion ? Give period for each case of periodic motion , omega is any positive constant). ltbr. (a) sinomegat-cosomegat) (b) sin^(3)omegat (c) 3cos((pi)/(4)-2omegat) (d) cosomegat+cos3omegat+cos5omegat) (e) exp(-omega^(2)t^(2)) (f) 1+omegat+omega^(2)t^(2)

Which of the following functions of time represents (a) simple harmonic motion and (b) periodic motion? Given the period for each case. i. Sin omega t - cos omegat ii. Sin^(2)omegat

Which of the following functions of time represent (a) simple harmonic (b) periodic but not simple harmonic and (c ) non periodic motion? Give period for each case of periodic motion (omega is nay positive constant) (1) Sin^(3) omegat (2) 3cos (pi//4 -2 omegat) (3) cos omegat +cos 3 omegat + cos 5 omegat (4) e^(-omega^(2)t^(2)) (5) 1 + omegat +omega^(2) t^(2)

Which of the following functions of time represents (a) periodic motion, (b) non-periodic motion and (c ) harmonic motion ? find the period of each periodic motion. [ omega is any positive constant] (i) sin 2omegat + cos 2omegat (ii) cos omegat + 2 sin 2pit + 3 cos 3 pit (iii) cos^(2)omegat (iv) sin(2omegat + pi//3)