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Vibrations Questions Set 5:

Quiz Mode

What is the unit of spring stiffness in oscillation?

N-cm

N/m

N/cm

unitless

Solution:

In which direction does the damping force act?

Opposite to the motion

Along the motion

Perpendicular to motion

Variable

Solution:

In a spring-mass system, if the mass is halved and the spring stiffness is doubled, find the ratio of the original natural frequency to the new natural frequency.

1:2

2:1

1:4

1:16

Solution:

A spring with a stiffness of 3500 N/m is cut into 7 equal parts. If 5 of these parts are then connected in series, what is the stiffness of the new system?

24500 N/m

4900 N/m

2500 N/m

3500 N/m

Solution:

The frequency of oscillations of a mass m suspended by a spring is n₁. If the length of the spring is cut to one-third, the same mass oscillates with frequency n₂. Determine n₂/n₁.

1.212

1.313

1.414

1.732

Solution:

The natural frequency of an object under forced undamped vibration is 100 Hz. Due to an external force, the frequency of vibration of the object is 50 Hz. What is the right value of transmissibility?

4/3

2/3

1/3

5/3

Solution:

Which of the following statements represents D'Alembert's principle?

Σ(Inertia forces – External forces) = 0

d/dt(2 x Inertia forces – External forces) = constant

Σ(Inertia forces + External forces) = 0

Σ(2 x Inertia forces – External forces) = 0

Solution:

Which of the following statements is true about free undamped vibration?

None of the above

The damping constant of the object is non-zero

There is an external force acting on the body

The spring force is equal to mass times acceleration by Newton's Second Law

Solution:

There is a U-shaped tube containing a liquid. The total length of the liquid column is 2h, where h is the height of the liquid column in each limb. What is the time period of oscillation in this condition?

T = 2π(l/g)^0.5

T = 2π(2l/g)^1

T = 2π(l/2g)^0.5

T = 2π(l/g)^2

Solution:

A vertical spring mass system consists of a mass of 1 kg. It is having initial deflection of 0.3 cm. Find the spring stiffness and also the natural frequency of the system. Take g=9.8 m/s²

k= 3266.6 N/m ; f= 9.1 Hz

k= 2450 N/m ; f= 11.14 Hz

k= 3500 N/m ; f= 12 Hz

k= 2131 N/m ; f= 15 Hz

Vibrations Questions Set 5:

What is the unit of spring stiffness in oscillation?

Solution:

In which direction does the damping force act?

Solution:

In a spring-mass system, if the mass is halved and the spring stiffness is doubled, find the ratio of the original natural frequency to the new natural frequency.

Solution:

A spring with a stiffness of 3500 N/m is cut into 7 equal parts. If 5 of these parts are then connected in series, what is the stiffness of the new system?

Solution:

The frequency of oscillations of a mass m suspended by a spring is n₁. If the length of the spring is cut to one-third, the same mass oscillates with frequency n₂. Determine n₂/n₁.

Solution:

The natural frequency of an object under forced undamped vibration is 100 Hz. Due to an external force, the frequency of vibration of the object is 50 Hz. What is the right value of transmissibility?

Solution:

Which of the following statements represents D'Alembert's principle?

Solution:

Which of the following statements is true about free undamped vibration?

Solution:

There is a U-shaped tube containing a liquid. The total length of the liquid column is 2h, where h is the height of the liquid column in each limb. What is the time period of oscillation in this condition?

Solution:

A vertical spring mass system consists of a mass of 1 kg. It is having initial deflection of 0.3 cm. Find the spring stiffness and also the natural frequency of the system. Take g=9.8 m/s²

Solution:

Related Question Sets:

Related Topics:

Vibrations Questions Set 5:

What is the unit of spring stiffness in oscillation?

Solution:

In which direction does the damping force act?

Solution:

In a spring-mass system, if the mass is halved and the spring stiffness is doubled, find the ratio of the original natural frequency to the new natural frequency.

Solution:

A spring with a stiffness of 3500 N/m is cut into 7 equal parts. If 5 of these parts are then connected in series, what is the stiffness of the new system?

Solution:

The frequency of oscillations of a mass m suspended by a spring is n1. If the length of the spring is cut to one-third, the same mass oscillates with frequency n2. Determine n2/n1.

Solution:

The natural frequency of an object under forced undamped vibration is 100 Hz. Due to an external force, the frequency of vibration of the object is 50 Hz. What is the right value of transmissibility?

Solution:

Which of the following statements represents D'Alembert's principle?

Solution:

Which of the following statements is true about free undamped vibration?

Solution:

There is a U-shaped tube containing a liquid. The total length of the liquid column is 2h, where h is the height of the liquid column in each limb. What is the time period of oscillation in this condition?

Solution:

A vertical spring mass system consists of a mass of 1 kg. It is having initial deflection of 0.3 cm. Find the spring stiffness and also the natural frequency of the system. Take g=9.8 m/s2

Solution:

Related Question Sets:

Related Topics:

The frequency of oscillations of a mass m suspended by a spring is n₁. If the length of the spring is cut to one-third, the same mass oscillates with frequency n₂. Determine n₂/n₁.

A vertical spring mass system consists of a mass of 1 kg. It is having initial deflection of 0.3 cm. Find the spring stiffness and also the natural frequency of the system. Take g=9.8 m/s²