The natural frequency of free longitudinal vibrations is equal to (where m = Mass of the body, s = Stiffness of the body and $$\delta $$ = Static deflection of the body)

The natural frequency of free transverse vibrations due to a point load acting over a simply supported shaft is equal to (where $$\delta $$ = Static deflection of a simply supported shaft due to the point load)

A

$$\frac{{0.4985}}{{\sqrt \delta }}$$

B

$$\frac{{0.5615}}{{\sqrt \delta }}$$

C

$$\frac{{0.571}}{{\sqrt \delta }}$$

D

$$\frac{{0.6253}}{{\sqrt \delta }}$$

The natural frequency of free transverse vibrations due to uniformly distributed load acting over a simply supported shaft is (where $$\delta {\text{S}}$$ = Static deflection of simply supported shaft due to uniformly distributed load)

A

$$\frac{{0.4985}}{{\sqrt {\delta {\text{S}}} }}$$

B

$$\frac{{0.5615}}{{\sqrt {\delta {\text{S}}} }}$$

C

$$\frac{{0.571}}{{\sqrt {\delta {\text{S}}} }}$$

D

$$\frac{{0.6253}}{{\sqrt {\delta {\text{S}}} }}$$

The natural frequency of free torsional vibrations of a shaft is equal to (where q = Torsional stiffness of the shaft and $$I$$ = Mass moment of inertia of the disc attached at the end of a shaft)

A

$$2\pi \sqrt {\frac{{\text{q}}}{I}} $$

B

$$2\pi \sqrt {{\text{q}}I} $$

C

$$\frac{1}{{2\pi }}\sqrt {\frac{{\text{q}}}{I}} $$

D

$$\frac{1}{{2\pi }}$$

A simple spring-mass vibrating system has a natural frequency of $${{\text{f}}_{\text{n}}}.$$ If the spring stiffness is halved and the mass is doubled, then the natural frequency will become

A

$$\frac{{{{\text{f}}_{\text{n}}}}}{2}$$

B

$$2{{\text{f}}_{\text{n}}}$$

C

$$4{{\text{f}}_{\text{n}}}$$

D

$$8{{\text{f}}_{\text{n}}}$$

The frequency of damped vibrations with viscous damping is ________ the frequency of undamped vibrations.

A

More than

B

Less than

C

Same as

D

None of these

In a system subjected to damped forced vibrations, the ratio of maximum displacement to the static deflection is known as

A

Critical damping ratio

B

Damping factor

C

Logarithmic decrement

D

Magnification factor

When two springs are in series (having stiffness K), the equivalent stiffness will be

A

K

B

$$\frac{{\text{K}}}{2}$$

C

2K

D

$$\frac{{\text{K}}}{4}$$

In steady state forced vibrations, the amplitude of vibrations at resonance is __________ damping coefficient.

A

Equal to

B

Directly proportional to

C

Inversely proportional to

D

Independent of

Longitudinal vibrations are said to occur when the particles of a body moves

A

perpendicular to its axis

B

parallel to its axis

C

in a circle about its axis

D

none of the mentioned

One end of a helical spring is fixed while the other end carries the load W which moves with simple harmonic motion. The frequency of motion is given by (where $$\delta $$ = Deflection of the spring.)

A

$$2\pi \sqrt {\frac{g}{\delta }} $$

B

$$\frac{1}{{2\pi }}\sqrt {\frac{g}{\delta }} $$

C

$$2\pi \sqrt {\frac{\delta }{g}} $$

D

$$\frac{1}{{2\pi }}\sqrt {\frac{\delta }{g}} $$

The natural frequency of free longitudinal vibrations is equal to (where m = Mass of the body, s = Stiffness of the body and $$\delta $$ = Static deflection of the body)

Related Questions