A mass of 25 kg is suspended on a spring and set oscillating . A dashpot is fitted between the mass and the support . After the two successive oscillations , it is observed that the first oscillation of 100 mm reduces to 15 mm after 0.5 seconds. calculate the actual frequency in Hz?

Q: A 1.5 kg mass is attached to a vertically oriented spring, stretching it 0.45 m. The mass is moved…

A: Solution: After adding a mass of 1.5kg the spring is stretched to a equilibrium position that is…

Q: mass weighing 3 lb stretches a spring 3 in. If the mass is pushed upward, contracting the spring a…

A: m = 3/32 kg k = 3*4 = 12 F(t)=0

Q: The period ra of damped linear oscillation for a certain 0.7 kg mass is 0.25 s. If the stiffness of…

A:

Q: Find the amplitude and period of the function, and sketch its graph. y = cos 47x

A: Given equation: y =cos4πx The standard periodic functions are: Here, b is the real number and A is…

Q: Consider the mechanical system shown below with a dash-pot (the dash-pot produces a friction force…

A:

Q: Pivot 3L

A: To determine the time period of a pendulum we will use concept of D' Alembert's principle given in…

Q: 1. For the system shown, the spring constant k = 400 kN/m, damping coefficient zeta = 0.5 and the…

A:

Q: A 1.5 kg mass is attached to a vertically oriented spring, stretching it 0.45 m. The mass is moved…

A: Solution: When mass of 1.5kg is added to the spring, the spring elongates by 0.45m, this is known as…

Q: Determine the period of small oscillations of a small particle that moves without friction inside a…

A:

Q: A .6kg block is hung from a spring with a force constant of 25 N/m. Calculate the displacement of…

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

Q: Find the set of initial conditions such that each mass oscillates: a) at the first natural…

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Q: A glider of mass 0.350 kg is placed on a frictionless, horizontal air track. One end of a horizontal…

A:

Q: A set of scales consists of an instrumented spring from which the mass of the measured object can be…

A: Initial mass, mi=10 kgFinal mass, mf=10+20=30 kg

Q: When spinning at 500 rotations per minute two washing machines produce two sinusoidal forces with…

A: Given Data: washing machines rotation n=500 rpm Two sinusoidal forces with same maximum amplitude…

Q: Assume that you are examining the characteristics of a suspension system of a 2000 kg automobile.…

A: For the solution refer below images.

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.