3) An oscillator consists of a block attached to a spring of k = 500 N/m on a frictionless surface. At a certain time (t) the displacement is found to be X(t) = 10 cm, the velocity is V(t) = -22.6 m/sec and the acceleration A(t) = -150 m/sec^2. No initial conditions are given. a) What is the amplitude of the motion? b) What is the frequency of the motion? c) What is the period of the motion? d) What is the mass of the block? e) What is the angular frequency? f) What is the value of time when the above takes place? g) What is the potential energy at maximum displacement? h) What is the maximum velocity of the motion? i) What is the maximum acceleration of the motion? j) What is the maximum force of the spring?

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Forced undamped vibrations

In mechanical engineering, vibration is expressed as the term that occurs due to an object's backward and forward movement about a point of equilibrium. Generally, there are three types of vibrations which are,