A particle executes simple harmonic motion along a straight line with an amplitude $A$. The potential energy is maximum when the displacement is
Easy
Download our app for free and get started
(a) $P.E. = \frac{1}{2}m{\omega ^2}{x^2}$
It is clear $P.E.$ will be maximum when $x$ will be maximum i.e., at $x = \pm A$
It is clear $P.E.$ will be maximum when $x$ will be maximum i.e., at $x = \pm A$
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
- 1A particle of mass $10 \,g$ is undergoing $S.H.M.$ of amplitude $10 \,cm$ and period $0.1 \,s$. The maximum value of force on particle is about ............ $N$View Solution
- 2The equation of motion of a particle is $x = a\,cos (\alpha\, t)$ . The motion isView Solution
- 3A tunnel is dug in the earth across one of its diameter. Two masses $‘m’\,\& \,‘2m’$ are dropped from the ends of the tunnel. The masses collide and stick to each other and perform $S.H.M.$ Then amplitude of $S.H.M.$ will be : [$R =$ radius of the earth]View Solution
- 4The kinetic energy of a particle executing $S.H.M.$ is $16\, J$ when it is at its mean position. If the mass of the particle is $0.32 \,kg$, then what is the maximum velocity of the particle ..... $m/s$View Solution
- 5Three simple harmonic motions of equal amplitudes $A$ and equal time periods in the same direction combine. The phase of the second motion is $60^o$ ahead of the first and the phase of the third motion is $60^o$ ahead of the second. Find the amplitude of the resultant motionView Solution
- 6A body oscillates with $S.H.M.$ according to the equation $x=(5.0 \,m ) \cos \left[\left(2 \pi \,rad s ^{-1}\right) t+\pi / 4\right]$ At $t=1.5 \,s$, its acceleration is ....... $m / s ^2$View Solution
- 7A spring having a spring constant $‘K’$ is loaded with a mass $‘m’$. The spring is cut into two equal parts and one of these is loaded again with the same mass. The new spring constant isView Solution
- 8Time period of a simple pendulum in a stationary lift is ' $T$ '. If the lift accelerates with $\frac{ g }{6}$ vertically upwards then the time period will be .....View Solution
(where $g =$ acceleration due to gravity)
- 9View SolutionA second's pendulum is mounted in a rocket. Its period of oscillation decreases when the rocket
- 10Assuming all pulleys, springs and string massless. Consider all surface smooth. Choose the correct statement $(s)$View Solution
