At what distance from mean position is the kinetic energy in SHM is equal to the potential energy?

Answer Expert Verified The distance x from its mean position may be specified as: x = A cos (wt+Ф), A is the amplitude and Ф is the phase constant, t is time. NOW, x = A /√2, So, when the body is at 1/√2 th of its amplitude then the PE = KE.

At what position is the potential energy maximum in SHM?

In simple harmonic motion, there is a continuous interchange of kinetic energy and potential energy. At maximum displacement from the equilibrium point, potential energy is a maximum while kinetic energy is zero. At the equilibrium point the potential energy is zero and the kinetic energy is a maximum.

At what position from mean position potential energy is maximum?

In SHM, kinetic energy is maximum at mean position and zero at the extreme positions while potential energy is zero at mean position and maximum at the extreme positions.

At what distance from the mean position is kinetic energy of particle performing SHM of amplitude 8cm three times its potential energy?

At what distance from the mean position is the kinetic energy of a particle. performing S.H.M, of amplitude 8 cm, three times its potential energy? [Ans: 4 cm​

At what distance is the kinetic energy of a particle performing a linear SHM of amplitude 10 cm three times its potential energy?

At what distance is the K.E. of a particle performing S.H.M. of amplitude 10cm, three times its potential energy? (Ans. #5 cm) A particle of mass 0.05kg performs linear S.H.M.

What is total energy in SHM?

The total energy in simple harmonic motion is the sum of its potential energy and kinetic energy. Thus, T.E. = K.E. + P.E. = 1/2 k ( a2 – x2) + 1/2 K x2 = 1/2 k a2. Hence, T.E.= E = 1/2 m ω2a2. Equation III is the equation of total energy in a simple harmonic motion of a particle performing the simple harmonic motion.

What is the minimum potential energy in SHM?

The minimum value of both kinetic and potential energy is zero. Therefore, in a simple harmonic motion the maximum kinetic energy and maximum potential energy are equal.

Where is potential energy minimum in SHM?

mean position
In which of the following positions is the potential energy minimum in S.H.M? Notes: Potential energy maximum and equal to total energy at extreme positions. Potential energy is minimum at mean position.