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 simple harmonic motion of amplitude A has a time period T. The acceleration of the oscillator when its displacement is half the amplitude is

A body oscillates harmonically with amplitude 0.05 m. At a certain instant of time its displacement is 0.01 m and acceleration is 1.0 ms^-2. What is the period of oscillation?

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 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