Q: A particle of mass 1 kg is executing SHM with an amplitude of 1 m and time period π s. Calculate kinetic energy of the particle at the moment when the displacement is 0.8 m. Sol: $\large \omega = \frac{2\pi}{T} = \frac{2\pi}{\pi} = 2 sec $ $\large v = \omega \sqrt{a^2 – x^2}$ $\large v = 2 \sqrt{1^2 – (0.8)^2}$ v = 2 × 0.6 = 1.2 m/s Kinetic energy $\large = \frac{1}{2}m v^2 = \frac{1}{2} \times 1 \times (1.2)^2$ K.E = 0.72 J Also Read :Time period of a particle executing SHM is 8s. At t = 0, it is at the mean position. The ratio…A particle performs S.H.M. on x-axis with amplitude A and time period T. The time taken by the…A particle performs SHM with a period T and amplitude a. The mean velocity of the particle over the…A particle of mass 10g executes a linear SHM of amplitude 5cm with a period of 2 s. Find the PE and…A charged particle of mass m and charge q is released from rest in a uniform electric field E. The…A particle of mass 1 kg starts moving so that its speed varies as b√s where, b = 1 unit (SI unit)…A particle of mass m is executing oscillation about the origin on the x-axis, its potential energy…A particle performs SHM along a straight line with the period T and amplitude A. The mean…Calculate the binding energy of an α- particle. Given that mass of proton = 1.0073 u , mass of…The position-time graph of a particle of mass 4 kg is shown in the figure. Calculate the impulse (in… Post navigation A linear harmonic oscillator of force constant 2 × 10^6 Nm-1 and amplitude 0.01 m has a total mechanical energy of 160 J… A particle of mass 10g executes a linear SHM of amplitude 5cm with a period of 2 s. Find the PE and KE…