A rigid block of mass ? is mounted on four elastic supports, as shown in the figure. A mass ? drops from a height ? and adheres to the rigid block without rebounding. If the spring constant of each elastic support is ?, derive the equation of motion and find the natural frequency of vibration of the system (a) without the mass ?, and (b) with the mass ?. Also, find the resulting motion of the system in case (b)

Q: 1) A 300-g mass is hung from acoiled spring and it stretches 20 cm.it is then streched an additional…

A: Given, mass of the spring is 300g First of all, calculate the spring constant of the spring,

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A: Given system,

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Q: 1) 4 300-g mass is hung from acoiled spring and it stretches 20 cm.it is then streched an additional…

A: According to the given question:- Mass attached ,m =300g=0.3kg Stretching load, F=mg=0.3×9.8=2.94N…

Q: (5) A mass less flexible beam is hinged at one end and carries a mass m at the other end as shown in…

A:

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A:

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A: Data given -  Mass of the block = 0.6 kg  Force constant k = 25 N/m

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A: According to the bartleby policy, answering first 3 subparts of the question

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Q: Rigid 1.5k 0.7L 0.3L

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Q: 14. For the system shown to the right, the disk of mass m rolls without slip and z mcasures the…

A: Let the radius of disc be 'r'.displacement of spring 3k, x'=2rθdisplacement of spring k=displacement…

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A:

Q: he natural frequenCy of vibration of

A:

Q: 5. A spring subjected to a mass(m) are designed to be as a damped spring mass system. Suppose the…

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A: Given system:

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A: f

Q: m, 0.5m- 1m The figure shows a slender rod with a mass of 6 kg. Attached to the rod is a spring of…

A: Let us consider very small angular deflection θ , such that sinθ≈θ. Mass of rod m=6kg, Point mass…

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.