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.

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 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?

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

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.

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?

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?

In which direction is the acceleration of a particle executing SHM directed?

At which position, the acceleration of a particle executing SHM becomes zero?

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