For a body executing $S.H.M. :$
$(a)$ Potential energy is always equal to its $K.E.$
$(b)$ Average potential and kinetic energy over any given time interval are always equal.
$(c)$ Sum of the kinetic and potential energy at any point of time is constant.
$(d)$ Average $K.E.$ in one time period is equal to average potential energy in one time period.
Choose the most appropriate option from the options given below:
JEE MAIN 2021, Medium
Download our app for free and get started
In $S.H.M.$ total mechanical energy remains constant and also $<{K} . {E} .>=<{P} . {E}>=\frac{1}{4} {KA}^{2}$
(for $1$ time period)
Download our appand get started for free
Experience the future of education. Simply download our apps or reach out to us for more information. Let's shape the future of learning together!No signup needed.*
Similar Questions
- 1The total mechanical energy of a particle in $SHM$ isView Solution
- 2Two simple harmonic motions are represented by the equations $x_{1}=5 \sin \left(2 \pi t+\frac{\pi}{4}\right), x_{2}=5 \sqrt{2}(\sin 2 \pi t+\cos 2 \pi t)$ The ratio of the amplitude of $x_{1}$ and $x_{2}$ isView Solution
- 3View SolutionThe variation of potential energy of harmonic oscillator is as shown in figure. The spring constant is
- 4The kinetic energy and potential energy of a particle executing simple harmonic motion will be equal, when displacement (amplitude = $a$) isView Solution
- 5A simple pendulum is suspended in a car. The car starts moving on a horizontal road according to equation $x\, = \,\frac{g}{2}\,\sqrt 3 {t^2}$. Find the time period of oscillation of the pendulum.View Solution
- 6View SolutionFor the system given below, find the angular frequency of oscillation ?
- 7A particle executing a simple harmonic motion of period $2\ s$ . When it is at its extreme displacement from its mean position, it receives an additional energy equal to what it had in its mean position. Due to this , in its subsequent motion,View Solution
- 8View SolutionThe period of a simple pendulum is doubled, when
- 9The amplitude of a particle executing $S.H.M.$ with frequency of $60 \,Hz$ is $0.01 \,m$. The maximum value of the acceleration of the particle isView Solution
- 10The height of a swing changes during its motion from $0.1\, m$ to $2.5\, m$. The minimum velocity of a boy who swings in this swing is ..... $m/s$View Solution