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Vibrations Questions Set 1:

Quiz Mode

In which direction does the damping force act?

Along the motion

Perpendicular to motion

Opposite to the motion

Variable

Solution:

If the mass is 10 kg and the spring stiffness is 78 N/m, find the circular natural frequency.

2.792 rad/s

88 rad/s

68 rad/s

0.128 rad/s

Solution:

If 5 springs are connected in parallel and each has a spring stiffness (k) of 700 N/m, what is the total stiffness of the spring body?

5000 N/m

7000 N/m

140 N/m

3500 N/m

Solution:

A vibrating system consists of a mass of 1 kg, a spring with a stiffness of 1 N/mm, and a damper with a damping coefficient of 0.05 Ns/mm. Determine the damping factor.

0.025

0.5

0.25

Solution:

In a vibrating system, if the actual damping coefficient is 60 N/ms and the critical damping coefficient is 620 N/ms, what is the logarithmic decrement for the system?

0.60

0.42

0.21

0.65

Solution:

The ratio of the maximum displacement of the forced vibration to the deflection due to the static force is known as the

damping coefficient

damping factor

magnification factor

logarithmic decrement

Solution:

If given the modulus of rigidity and polar moment of inertia, which additional parameter is required to find the torsional stiffness?

Length of the shaft.

Polar mass moment of inertia.

Natural frequency.

Time period.

Solution:

For a damped vibration, the ratio of amplitudes on any two successive peaks is constant. The log decrement, δ, is given by the equation:

δ = 2πα(1-α²)^(1/2)

where α is the viscous damping ratio. For a small value of δ, which of the following is correct?

None of the above

α = δ/(2π)

δ = α/(2π)

δ = 2α

Solution:

A mass of 10 kg is kept on two slabs of isolators placed one over the other. One of the isolators is made of rubber with a stiffness of 3 kN/m and a damping coefficient of 100 Ns/m. The other isolator is made of felt with a stiffness of 12 kN/m and a damping coefficient of 300 Ns/m. If the system is in motion in a vertical direction, find the damping ratio of the system.

0.24

0.35

0.45

Solution:

A system with mass 30 kg, spring stiffness 30 kN/m, and a damper. The damping provided is only 15% of the critical value. Determine the damping factor and critical damping coefficient.

Damping factor = 0.15, Critical Damping coefficient = 1897.37 N/m/s

Damping factor = 0.2, Critical Damping coefficient = 1297.37 N/m/s

Damping factor = 0.4, Critical Damping coefficient = 1997.45 N/m/s

Damping factor = 0.15, Critical Damping coefficient = 1833.68 N/m/s

Vibrations Questions Set 1:

In which direction does the damping force act?

Solution:

If the mass is 10 kg and the spring stiffness is 78 N/m, find the circular natural frequency.

Solution:

If 5 springs are connected in parallel and each has a spring stiffness (k) of 700 N/m, what is the total stiffness of the spring body?

Solution:

A vibrating system consists of a mass of 1 kg, a spring with a stiffness of 1 N/mm, and a damper with a damping coefficient of 0.05 Ns/mm. Determine the damping factor.

Solution:

In a vibrating system, if the actual damping coefficient is 60 N/ms and the critical damping coefficient is 620 N/ms, what is the logarithmic decrement for the system?

Solution:

The ratio of the maximum displacement of the forced vibration to the deflection due to the static force is known as the

Solution:

If given the modulus of rigidity and polar moment of inertia, which additional parameter is required to find the torsional stiffness?

Solution:

For a damped vibration, the ratio of amplitudes on any two successive peaks is constant. The log decrement, δ, is given by the equation:

δ = 2πα(1-α²)^(1/2)

where α is the viscous damping ratio. For a small value of δ, which of the following is correct?

Solution:

Solution:

A system with mass 30 kg, spring stiffness 30 kN/m, and a damper. The damping provided is only 15% of the critical value. Determine the damping factor and critical damping coefficient.

Solution:

Related Question Sets:

Related Topics:

Vibrations Questions Set 1:

In which direction does the damping force act?

Solution:

If the mass is 10 kg and the spring stiffness is 78 N/m, find the circular natural frequency.

Solution:

If 5 springs are connected in parallel and each has a spring stiffness (k) of 700 N/m, what is the total stiffness of the spring body?

Solution:

A vibrating system consists of a mass of 1 kg, a spring with a stiffness of 1 N/mm, and a damper with a damping coefficient of 0.05 Ns/mm. Determine the damping factor.

Solution:

In a vibrating system, if the actual damping coefficient is 60 N/ms and the critical damping coefficient is 620 N/ms, what is the logarithmic decrement for the system?

Solution:

The ratio of the maximum displacement of the forced vibration to the deflection due to the static force is known as the

Solution:

If given the modulus of rigidity and polar moment of inertia, which additional parameter is required to find the torsional stiffness?

Solution:

For a damped vibration, the ratio of amplitudes on any two successive peaks is constant. The log decrement, δ, is given by the equation: δ = 2πα(1-α²)^(1/2) where α is the viscous damping ratio. For a small value of δ, which of the following is correct?

Solution:

Solution:

A system with mass 30 kg, spring stiffness 30 kN/m, and a damper. The damping provided is only 15% of the critical value. Determine the damping factor and critical damping coefficient.

Solution:

Related Question Sets:

Related Topics:

For a damped vibration, the ratio of amplitudes on any two successive peaks is constant. The log decrement, δ, is given by the equation:

δ = 2πα(1-α²)^(1/2)

where α is the viscous damping ratio. For a small value of δ, which of the following is correct?