The equation of motion of a particle executing SHM is `x=asin(omegat+pi/6)` with time period T. Find the time interval at which the velocity is being half of its maximum value.

Write the equation of motion of a particle executing SHM if at t = 0 its displacement is maximum.

If the equation of motion of a particle executing SHM is x=Asin(omegat+alpha) , then determine the expression for velocity of the particle and also determine the value of its maximum acceleration.

Equation of motion of a particle executing SHM is x=5sin(4t-pi/6)m , where x is the displacement. If the displacement is 3 m, find the velocity of the particle?

The equation of motion of a particle executing SHM is x=Asin(omegat+theta) . Calculate the velocity and acceleration of the particle. If m is the mass of the particle, then what is the maximum value of its kinetic energy?

The equation of motion of a particle executing SHM is expressed by x=10sin(10t-pi/6) . Establish an equation to express its velocity and also calculate the magnitude of its maximum acceleration.

The equation of motion of a particle executing SHM is 3(d^(2)x)/(dt^(2))=27x=0 , what will be the angular frequency of the SHM?

Write the equation of motion of a particle executing simple harmonic motion, whose displacement is maximum at t = 0.

What should be the displacement of a particle, executing SHM, from its position of equilibrium so that the velocity of the particle is half of its maximum velocity?

If the mass of a particle executing SHM is m and its angular frequency is omega , then time period of its oscillation will be