A body of mass 20 g connected to a spring of spring constant k, executes simple harmonic motion with a frequency of `(5//pi)` Hz. The value of spring constant is

A mass m oscillates with simple harmonic motion with frequency f= omega/(2pi) and amlitude A on a spring with constant K. therefore

A 0.20kg object mass attached to a spring whose spring constant is 500N/m executes simple harmonic motion. If its maximum speed is 5.0m/s, the amplitude of its oscillation is

A body of mass m attached to one end of an ideal spring of force constant k is executing simple harmonic motion. Establish that the time - period of oscillation is T=2pisqrt(m//k) .

A mass of 4 kg suspended from a spring of spring constant 800 Nm^(-1) executes simple harmonic oscillations. If the total energy of the oscillator is 4 J, the maximum acceleration (in ms^(-2) ) of the mass is

A body of mass 1 kg suspended by a light vertical spring of spring constant 100 N/m executes SHM. Its angular frequency and frequency are

A particle which is attached to a spring oscillates horizontally with simple harmonic motion with a frequency of 1//pi Hz and total energy of 10J. If the maximum speed of the particle is 0.4ms^(-1) , what is the force constant of the spring? What will be the maximum potential energy of the spring during the motion?

A mass on the end of a spring undergoes simple harmonic motion with a frequency of 0.5 Hz. If the attached mass is reduced to one quarter of its value, then the new frequency in Hz is

A body of mass 0.25 kg is attached to a vertical spring. The spring is executing damped simple harmonic spring will drop to half its initial value ? [The damping constant b = 0.05 kg/s]

A body of mass 0.25 kg is attached to a vertical spring. The spring is executing damped simple harmonic spring will drop to half its initial value ? [The damping constant b = 0.05 kg/s]

A body of mass m hung at one end of the spring executes simple harmonic motion . The force constant of a spring is k while its period of vibration is T . Prove by dimensional method that the equation T = 2 pi m // k is correct. Dervive the correct equation , assuming that they are related by a power law.