A Spring Has A Natural Length Of 50 Cm And A Force Constant Of  A Body Of Mass 10 Kg Is Suspended From It And The Spring Is Stretched. If The Body Is Pulled Down Further Stretching The Spring To A Length Of 58 Cm And Released, It Executes Simple Harmonic Motion. What Is The Net Force On The Body When It Is At Its Lowermost Position Of Its Oscillation? Take g = 10 Ms –2.

A tuning fork produces 4 beta per second when sounded with sonometer of vibrating length 48cm. It produces 4 beats per second also when the vibrating length is 50cm. What is the frequency of the tuning fork?

The displacement x (in centimetres) of an oscillating particle varies with time t (in seconds) as 

The magnitude of the maximum acceleration of the particle is 

A particle executes SHM of amplitude 25 cm and time periods 3 s. what is the minimum time required for the particle to move between two points located at 12.5 cm on either side of the mean position?

A body executing linear simple harmonic motion has a velocity of 3 cms^–1when its displacement is 4 cm and a velocity of 4 cms^–1 when its displacement is 3 cm. what is the amplitude of oscillation?  

A particle is executing linear simple harmonic motion of amplitude A. what fraction of the total energy is kinetic when the displacement is half the amplitude?

Two identical strings of a stringed  musical instrument are in unison when stretched with the same tension. When the tension in one string is increased by 1%, the musician hears 4 beats per second. What was the frequency of the note when the string were in unison?

A horizontal platform is executing simple harmonic motion in the vertical direction of frequency v. A block of mass m is placed on the platform. What is the maximum amplitude of the platform so that the block is not detached from it?

A spring stretches by 0.05 m when a mass of 0.5 kg is hung from it. A body of mass 1.0 kg is attached to one of its ends, the other end being fixed to the wall. The body is pulled 0.01 m along a horizontal frictionless surface and released. What is the total energy of the oscillator. Assume the string to have negligible mass and take g = 10 ms^–2.  

A spring of negligible mass having a force constant k extends by an amount y when a mass m is hung from it. The mass is pulled down a little and released. The system begins to execute simple harmonic motion of amplitude A and angular frequency ω. The total energy of the mass-spring system will be

A small trolley of mass 2 kg resting on a horizontal frictionless turntable is connected by a light spring to the centre of the table. The relaxed length of the spring is 35 cm. When the turntable is rotated an angular frequency of 10 rad s^–1, the length of the spring becomes 40 cm. what is the force constant of the spring?