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Vibrations Questions Set 4:

Quiz Mode

Find the logarithmic decrement if the damping factor (ζ) is given as 0.0233.

0.1466

5.42 x 10^-4

0.2899

1.587

Solution:

The time period of a pendulum sliding down an inclined plane at an angle of θ (theta) is:

0π

T = 2π(l/cos(θ))

T = 4π(l/sin(θ))

T = 2π(l/sin(θ))

Solution:

Which parameter is required to find the natural frequency?

Only spring stiffness

Only mass

Only circular natural frequency

Time period and mass both

Solution:

If 3 springs are connected in series and each has a spring stiffness (k) of 3000 N/m, what is the total stiffness of the spring body?

1000 N/m

9000 N/m

6000 N/m

3300 N/m

Solution:

To find the circular natural frequency of a spring-mass system, what parameter is required in addition to the stiffness of the spring?

Deflection

Mass

Inertia

Mass moment of inertia

Solution:

The speed at which the shaft runs, so that the deflection of the shaft from the axis of rotation becomes infinite, is called what?

whipping speed

damping speed

resonant speed

gravitational speed

Solution:

What is meant by a node point?

None of the above

The point at which the amplitude of vibration is maximum

The point at which the amplitude of vibration is minimum

The point at which the amplitude of vibration is zero

Solution:

A mass M attached to a spring oscillates with a period of 4 seconds. If the mass is increased by 4 kg, the period increases by 2 seconds. Find the initial mass M, assuming that Hooke's law is obeyed.

5.5 kg

2.1 kg

3.2 kg

3.9 kg

Solution:

A dynamic system consists of an object with an attached spring and damper under damped vibration. The object's mass is 100 kg, the spring constant is 100 N/m, and the damping constant is 4000 N·s/m. What is the correct value of the viscous damping ratio?

Solution:

A cylinder of mass m and cross-sectional area A floats in a liquid with density D. When the cylinder is slightly depressed, it starts oscillating with a time period T. What is the value of T? Given that the force on the cylinder is F = -(Ax)Dg.

T=2π(m/Ag)^0.5

T=2π(m/k)^0.5

T=0

T=2π(m/ADg)^0.5

Vibrations Questions Set 4:

Find the logarithmic decrement if the damping factor (ζ) is given as 0.0233.

Solution:

The time period of a pendulum sliding down an inclined plane at an angle of θ (theta) is:

Solution:

Which parameter is required to find the natural frequency?

Solution:

If 3 springs are connected in series and each has a spring stiffness (k) of 3000 N/m, what is the total stiffness of the spring body?

Solution:

To find the circular natural frequency of a spring-mass system, what parameter is required in addition to the stiffness of the spring?

Solution:

The speed at which the shaft runs, so that the deflection of the shaft from the axis of rotation becomes infinite, is called what?

Solution:

What is meant by a node point?

Solution:

A mass M attached to a spring oscillates with a period of 4 seconds. If the mass is increased by 4 kg, the period increases by 2 seconds. Find the initial mass M, assuming that Hooke's law is obeyed.

Solution:

A dynamic system consists of an object with an attached spring and damper under damped vibration. The object's mass is 100 kg, the spring constant is 100 N/m, and the damping constant is 4000 N·s/m. What is the correct value of the viscous damping ratio?

Solution:

A cylinder of mass m and cross-sectional area A floats in a liquid with density D. When the cylinder is slightly depressed, it starts oscillating with a time period T. What is the value of T? Given that the force on the cylinder is F = -(Ax)Dg.

Solution:

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