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 spring of force constant k is cut into three equal pieces. If these three pieces are connected in parallel, the force constant of the combination will be

Two springs of force constants k₁ and k₂ are connected as shown in figure. The time period of vertical oscillations of mass m is given by

A sonometer wire of length 120 cm is divided into three segments of lengths in the ratio of 1 : 2 : 3. What is the ratio of their fundamental frequencies?

A particle is in linear simple harmonic motion between two extreme pointsA and B, 10 cm apart (see fig). If the direction from A to B is taken as positive direction, what are signs of displacement x, velocity V and acceleration a, when the particle is at A?   

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 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?