Find the total energy of the particle executing SHM and show graphically the variation of P-E and K-E with time in SHM

Hi, the derivation of total energy coservation in shm is shiw above with graph kindly specify any other ibformation u want along with the above solution ...

You visited us 4 times! Enjoying our articles? Unlock Full Access!

Byju's Answer

Standard XII

Physics

Enter Einstein!

Find the tota...

Question

Find the total energy of the particle executing linear SHM and show graphically the variation of P.E and K.E with respect to position.

Open in App

Solution

$T o t a l e n e r g y i n s h m$
$E_{T} = K E + P E = c o n s t a n t$
$l e t s a s s u m e, a t a n i n s t a n c e p a r t i c l e i s p r e s e n t a t m e a n p o s i t i o n a n d n o$
$a d d i t i o n a l e n e r g y i s p r o v i d e d t o t h e p a r t i c l e e x t e r n a l l y .$

$E_{T} = \frac{1}{2} m w^{2} A^{2} + 0;$
$∵ {K E}_{m a x} = \frac{1}{2} m w^{2} A^{2} (a t m e a n p o s i t i o n) & P E = 0 (a t m e a n p o s i t i o n)$
$E_{T} = \frac{1}{2} m w^{2} A^{2} = c o n s t a n t$
$(t h i s e n e r g y r e m a i n s c o n s t a n t t h r o u g h t h e m o t i o n, a s s u m i n g m e d i u m i s i d e a l)$
Energy curve for ideal situation

Suggest Corrections

Similar questions

Q. The time period of the variation of potential energy of a particle executing

S H M

with period

T

A particle executes a SHM with frequency $ν$ . The frequency of variation of potential energy will be :

Q. The amplitude of a particle executing SHM with time period T, when the KE and PE are equal are given by

Q. For the particle executing SHM the displacement

x

is given by

x = A cos ω t

. Identify which represents variation of potential energy as a function of time

t

and displacement

x

Join BYJU'S Learning Program