Related Questions

A semicircular disc rests on a horizontal surface with its top flat surface horizontal and circular portion touching down. The coefficient of friction between semi circular disc and horizontal surface is µ. This disc is to be pulled by a horizontal force applied at one edge and it always remains horizontal. When the disc is about to start moving, its top horizontal force will
A Remain horizontal
B Slant up towards direction of pull
C Slant down towards direction of pull
D None of the above
Moment of inertia of a circular section about an axis perpendicular to the section is
A $$\frac{{\pi {{\text{d}}^3}}}{{16}}$$
B $$\frac{{\pi {{\text{d}}^3}}}{{32}}$$
C $$\frac{{\pi {{\text{d}}^4}}}{{32}}$$
D $$\frac{{\pi {{\text{d}}^4}}}{{64}}$$
A spherical body is symmetrical about its perpendicular axis. According to Routh's rule, the moment of inertia of a body about an axis passing through its centre of gravity is (where, M = Mass of the body and S = Sum of the squares of the two semi-axes.)
A $$\frac{{{\text{MS}}}}{3}$$
B $$\frac{{{\text{MS}}}}{4}$$
C $$\frac{{{\text{MS}}}}{5}$$
D None of these
The moment of inertia of a circular lamina of diameter ‘d’, about an axis perpendicular to the plane of the lamina and passing through its centre, is
A $$\frac{{\pi {{\text{d}}^4}}}{{12}}$$
B $$\frac{{\pi {{\text{d}}^4}}}{{16}}$$
C $$\frac{{\pi {{\text{d}}^4}}}{{24}}$$
D $$\frac{{\pi {{\text{d}}^4}}}{{32}}$$
E $$\frac{{\pi {{\text{d}}^4}}}{{36}}$$
A hollow shaft of same cross-section area as compared to a solid shaft transmit
A Same torque
B Less torque
C More torque
D Unpredictable
For a given stress, the ratio of moment of resistance of a beam of square cross-section when placed with its two sides horizontal to the moment of resistance with its diagonal horizontal, is
A $$\frac{1}{2}$$
B 1
C $$\frac{1}{{\sqrt 2 }}$$
D $$\sqrt 2 $$
The ends of a string weighing w/metre are attached to two points at the same horizontal level. If the central dip is very small, the horizontal tension of the string throughout is
A $$\frac{{{\text{w}}l}}{{4{\text{d}}}}$$
B $$\frac{{{\text{w}}{l^2}}}{{4{\text{d}}}}$$
C $$\frac{{{\text{w}}{l^2}}}{{8{\text{d}}}}$$
D $$\frac{{{\text{w}}{l^2}}}{{16{\text{d}}}}$$
If straight sides of a triangular section of a lined canal with circular bottom of radius R, make an angle θ with horizontal, the area of its cross-section, is
A R (θ + tan θ)
B R (θ + cot θ)
C R2 (θ + tan θ)
D R2 (θ + cot θ)
Two circular discs of same weight and thickness are made from metals having different densities. Which disc will have the larger rotational inertia about its central axis?
A Disc with larger density
B Disc with smaller density
C Both discs will have same rotational inertia
D None of the above
In order to have a connecting rod equally strong in buckling about X-axis and Y-axis, the moment of inertia about X-axis should be __________ the moment of inertia about Y-axis.
A Equal to
B Twice
C Three times
D Four times

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