A block of mass m hangs from a spring with a spring constant k. The block is initially held so that the spring is unstretched. If the natural circular frequency of the system is 10 radians/sec, how many cycles of vibration will the block experience in five seconds after it is released?

Q: A seismic instrument is used to find the magnitude of vibration of a machine tool structure. It…

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Q: Consider a spring-mass system with mass equal to 1 kg, spring constant equal to 25…

A: a.   Write the expression for the critical damping coefficient,   Here, b is the coefficient of…

Q: Consider the mass-spring and damping system as shown in the figure. A harmonic force F = F0sin ωt…

A: Data given, Stiffness of spring 7093N/s Mass 11kg Damping coefficient 252Ns/m

Q: A mass of 25 kg is suspended on a spring and set oscillating . A dashpot is fitted between the mass…

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Q: n object of mass 2 kg is attached to a spring of stiffness 200 N / m on a horizontal frictionless…

A: Frequency is given by,ω=kmω=2002ω=10 radian/s

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A: Since all the blocks rest on a frictionless surface, there is no damping, therefore, when the…

Free undamped vibrations

Whenever an object/system displaces in either side of its equilibrium position with the help of an external/internal means, then the object/system moves regularly or randomly on both sides of its equilibrium position. This motion is called vibration. Generally, there are three types of vibration: longitudinal vibration, transverse vibration, and torsional vibration.