Energy in SHM

A point particle of mass $0.1 \mathrm{kg}$ executes S.H.M. of amplitude of $0.1 \mathrm{m}$. When the particle passes through the mean position, its kinetic energy is $8 \times {10}^{–3} \mathrm{J}$. The equation of motion of this particle when the initial phase of oscillation is $45°$ can be given by,

The total energy of a harmonic oscillator of mass $2 \mathrm{kg}$ is $9 \mathrm{joules}$. If its potential energy at mean position is $5 \mathrm{joules}$, its $K.E.$. at the mean position will be:

The potential energy of a simple harmonic oscillator at mean position is $3 \mathrm{J}$. If its mean K.E. is $4 \mathrm{J}$, its total energy will be,

The particie executing simple harmonic motion has a kinetic energy $K_o {\cos }^2\omega t$. The maximum values of the potential energy and the total energy are respectively: 

The potential energy of a long spring when stretched by 2 cm is U. If the spring stretched by 8 cm the potential energy stored in it is:

The elongation of spring is 1 cm and its potential energy is U. If the spring is elongated by 3cm then potential energy will be :-

it <E> and <V> denotes the average kinetic and average potential energies respectively of mass describing a simple harmonic motion over one period then the correct reaction is:

The value of total mechanical energy of a particle in S.H.M. is 

The average $P.E.$ of a body executing S.H.M. is:

A particle executes S.H.M. on a line, $8 \mathrm{cm}$ long. lts $K.E.$ and $P.E.$ will be equal when its distance from the mean position is:

If total energy of a particle in S.H.M. is $E$, then the potential energy of the particle at half the amplitude will be:

The total vibrational energy of a particle in S.H.M. is $E$. Its kinetic energy at half the amplitude from the mean position will be:

The total energy of a particle executing S.H.M. is directly proportional to the square of which quantity?

The energy of S.H.M. at the mean position of a pendulum will be:

The displacement of a particle in S.H.M. is $x=a\cos \left(\omega t\right)$.

Which of the graph between P.E. and time is correct?

If the displacement of a particle executing SHM is $x=a\cos \left(\omega t\right)$, which of the graph between K.E. and time is correct?

The displacement of a particle in S.H.M. is $x=a\sin \omega t$. Which of the following graph between potential energy and time is correct?

The displacement of a particle in S.H.M. is $x=a\sin \omega t$. Which of the following graph between kinetic energy and time is correct?

The displacement of a particle in S.H.M. is $x=a\sin \omega t$. Which of the following graph between velocity and time is correct?

For a particle executing simple harmonic motion, which of the following statements is not correct?