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Two identical springs, each of spring constant K, are connected in a series and parallel as shown in figure 4. A mass of m is suspended from them. What is the ratio of their frequencies of vertical oscillations?

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(d) it moves in a su 20. A block P of mass m is placed on a horizontal frictionless surface. Another block g of same mass is kept on P and connected to a rigid wall by means of a spring of spring constant k as shown in the figure The two blocks move together, without slipping performing simple harmonic motion of amplitude A If u is the coefficient of static friction between blocks P and O, the ...

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Dec 21, 2020 · The spring constant is given in pounds per foot in the English system and in newtons per meter in the metric system. Now, by Newton’s second law, the sum of the forces on the system (gravity plus the restoring force) is equal to mass times acceleration, so we have. mx″ = − k(s + x) + mg = − ks − kx + mg.

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The base of the platform of a system shown in the adjoining figure is subjected to a harmonic vibration. If spring constant k=23.4 kN/m, mass of the platform m=22 kg and the damping frequency is 29 rad/sec, then the damping ratio is 0.4575 m 0.4575 0.9863 0.7776 Le to k d Iy()

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The beam shown in Figure P4.8 has been stiffened by the addition of a spring support. The steel beam is 3 ft long, 1 in thick, and 1 ft wide, and its mass is 3.8 slugs. The mass m is 40 slugs. Neglecting the mass of the beam, a. Compute the spring constant k necessary to reduce the static deflection to one-half its

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Two identical springs, each of spring constant K, are connected in a series and parallel as shown in figure 4. A mass of m is suspended from them. What is the ratio of their frequencies of vertical oscillations?