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

Correct Answer: $$\frac{{0.5615}}{{\sqrt {\delta {\text{S}}} }}$$

Bissoy MCQ
#Mechanical Engineering #Theory of Machine

Related Questions

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 longitudinal vibrations is equal to (where m = Mass of the body, s = Stiffness of the body and $$\delta $$ = Static deflection of the body)
A $$\frac{1}{{2\pi }} \times \sqrt {\frac{{\text{s}}}{{\text{m}}}} $$
B $$\frac{1}{{2\pi }} \times \sqrt {\frac{{\text{g}}}{\delta }} $$
C $$\frac{{0.4985}}{{\sqrt \delta }}$$
D Any one of these
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 simply supported beam A carries a point load at its mid span. Another identical beam B carries the same load but uniformly distributed over the entire span. The ratio of the maximum deflections of the beams A and B, will be
A $$\frac{2}{3}$$
B $$\frac{3}{2}$$
C $$\frac{5}{8}$$
D $$\frac{8}{5}$$
The simply supported beam 'A' of length '$$l$$' carries a central point load 'W'. Another beam 'B' is loaded with a uniformly distributed load such that the total load on the beam is 'W'. The ratio of maximum deflections between beams 'A' and 'B' is
A $$\frac{5}{8}$$
B $$\frac{8}{5}$$
C $$\frac{5}{4}$$
D $$\frac{4}{5}$$
When a uniformly distributed load, longer than the span of the girder, moves from left to right, then the maximum bending moment at mid section of span occurs when the uniformly distributed load occupies
A Less than the left half span
B Whole of left half span
C More than the left half span
D Whole span
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
The bending moment in the center of a simply supported beam carrying a uniformly distributed load of w per unit length is
A Zero
B $$\frac{{{\text{w}}{l^2}}}{2}$$
C $$\frac{{{\text{w}}{l^2}}}{4}$$
D $$\frac{{{\text{w}}{l^2}}}{8}$$
The shear force at the ends of a simply supported beam carrying a uniformly distributed load of w per unit length is
A Zero at its both ends
B $${\text{w}}l$$ at one end and $$ - {\text{w}}l$$  at the other end
C $$\frac{{{\text{w}}l}}{2}$$ at one end and $$ - \frac{{{\text{w}}l}}{2}$$  at the other end
D $$\frac{{{\text{w}}{l^2}}}{2}$$ at one end and $$ - \frac{{{\text{w}}{l^2}}}{2}$$  at the other end
The shear force diagram for a simply supported beam carrying a uniformly distributed load of w per unit length, consists of
A One right angled triangle
B Two right angled triangles
C One equilateral triangle
D Two equilateral triangles

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