6. A mass m is suspended from a spring of stiffness 4000 N/m and is subjected to a harmonic force having an amplitude of 100 N and a frequency of 5 Hz. The amplitude of the forced motion of the mass is observed to be 20 mm. Find the value of m.

Q: 8(s+5) Y(s) s'+10s +16s +40 vibration of the mass m caused by the displacement of the foundation,…

A: 8×s+5s3+10s2+16s+40×0.05s3+5 X(s) is given above plot of response -

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: A 120-kg machine is placed at the midspan of a 85-cm aluminum (E = 100 x 10°) N/m² simply. supported…

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Q: atural frequency in Hertz of an undamped mass-spring system with a m= 100 grams and k= 100 N/m

A: Given:m=100 grams =0.1 kgk=100 N/m

Q: An electric motor of mass 68 kg is mounted on an isolator block of mass 1200 kg and the natural…

A: Given 68 kg mounted on 1200kg m=1200+68=1268kg wn=160  rpm=160×2𝜋60=16.75rad/s F=1005m, w= 31.4…

Q: Engineers can determine properties of a structure that is modeled as a damped spring oscillator,…

A: Given data: The mass of the oscillator is m=0.295 kg The frequency of the oscillator is f=22.6 Hz…

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

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Q: A metal block, placed on a rough surface, is attached to a spring and is given an initial…

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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: An electrical switch gear is supported by a crane through a steel cable of length 4 m and diameter…

A: Given data: L=4 md=0.01 mT=0.01 s Need to determine the stiffness of the cable.

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

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Q: 3.5. A spring-mass is excited by a force F, sin ut. At resonance, the amplitude is measured to be…

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Q: 3.5. A spring-mass is excited by a force F, sin wt. At resonance, the amplitude is measured to be…

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Q: Figures (1) and (2) show how springs can be used to support a block in two different situations. In…

A: Write the expression for the amplitude of the vibration on block for the first case. Thus, write…

Q: A machine of mass 203.5 kg is mounted on four parallel springs each of stiffness 1.6 x 105 N/m. When…

A: Introduction In this problem, we will calculate the magnitude of the force transmitted to the…

Q: A block of mass m hangs from a spring with a spring constant k. The block is initially held so that…

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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,