Engineering Mechanics — Part 2 MCQs with Explanations

The algebraic sum of the resolved parts of the forces in the given direction is the correct answer to “The resolved part of the resultant of two forces inclined at an angle 'θ' in a given direction is equal to”. This question is standard in competitive examination syllabi for Engineering Mechanics.

$$\frac{1}{{2\pi }}\sqrt {\frac{g}{\delta }} $$ is the correct answer to “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.)”. This question is standard in competitive examination syllabi for Engineering Mechanics.

$$\frac{7}{5}{\text{m}}{{\text{r}}^2}$$ is the correct answer to “The moment of inertia of a sphere of mass 'm' and radius 'r', about an axis tangential to it, is”. This question is standard in competitive examination syllabi for Engineering Mechanics.

Half is the correct answer to “If the masses of both the bodies, as shown in the below figure, are reduced to 50 percent, then tension in the string will be”. This question is standard in competitive examination syllabi for Engineering Mechanics.

45° + $$\frac{\beta }{2}$$ is the correct answer to “The range of projectile will be maximum for a given velocity of projectile, when the angle of projection ($$\alpha $$) is”. This question is standard in competitive examination syllabi for Engineering Mechanics.

$$\frac{{{\text{d}}{{\text{b}}^3}}}{{12}}$$ is the correct answer to “Moment of inertia of a rectangular section having width (b) and depth (d) about an axis passing through its C.G. and parallel to the depth (d), is”. This question is standard in competitive examination syllabi for Engineering Mechanics.

$$\frac{{{\text{b}}{{\text{d}}^3}}}{{12}}$$ is the correct answer to “Moment of inertia of a rectangular section having width (b) and depth (d) about an axis passing through its C.G. and parallel to the width (b), is”. This question is standard in competitive examination syllabi for Engineering Mechanics.

Horizontal surface is the correct answer to “A smooth cylinder lying on a __________ is in neutral equilibrium.”. This question is standard in competitive examination syllabi for Engineering Mechanics.

Rotational motion is the correct answer to “A couple produces”. This question is standard in competitive examination syllabi for Engineering Mechanics.

All of these is the correct answer to “A force while acting on a body may”. This question is standard in competitive examination syllabi for Engineering Mechanics.

Four times is the correct answer to “Mass moment of inertia of a thin rod about its one end is ___________ the mass moment of inertia of the same rod about its mid-point”. This question is standard in competitive examination syllabi for Engineering Mechanics.

$$\sqrt {2{\text{gh}}} $$ is the correct answer to “The velocity of a body on reaching the ground from a height h, is”. This question is standard in competitive examination syllabi for Engineering Mechanics.

W cosecθ is the correct answer to “The force induced in the string AB due to the load W, as shown in the below figure is”. This question is standard in competitive examination syllabi for Engineering Mechanics.

100% is the correct answer to “An ideal machine is one whose efficiency is”. This question is standard in competitive examination syllabi for Engineering Mechanics.

$$\frac{{{\text{k}}_{\text{G}}^2 + {{\text{h}}^2}}}{{\text{h}}}$$ is the correct answer to “The equivalent length of a simple pendulum which gives the same frequency as compound pendulum is”. This question is standard in competitive examination syllabi for Engineering Mechanics.

Directly proportional is the correct answer to “When the lift is moving upwards with some acceleration, the pressure exerted by a man is __________ to its acceleration.”. This question is standard in competitive examination syllabi for Engineering Mechanics.

Equal to is the correct answer to “The force required to move the body up the plane will be minimum if it makes an angle with the inclined plane __________ the angle of friction.”. This question is standard in competitive examination syllabi for Engineering Mechanics.

None of these is the correct answer to “If tension in the cable supporting a lift moving downwards is half the tension when it is moving upwards, the acceleration of the lift is”. This question is standard in competitive examination syllabi for Engineering Mechanics.

6f - 8 is the correct answer to “A particle moves along a straight line such that distance (x) traversed in 't' seconds is given by x = t 2 (t - 4), the acceleration of the particle will be given by the equation”. This question is standard in competitive examination syllabi for Engineering Mechanics.

All of the above is the correct answer to “When two elastic bodies collide with each other,”. This question is standard in competitive examination syllabi for Engineering Mechanics.

$$\frac{{{{\text{a}}^4}}}{{12}}$$ is the correct answer to “The moment of inertia of a square of side (a) about an axis through its center of gravity is”. This question is standard in competitive examination syllabi for Engineering Mechanics.

$$\sqrt 2 \,{\text{P}}$$ is the correct answer to “The below figure shows the two equal forces at right angles acting at a point. The value of force ‘R’ acting along their bisector and in opposite direction is”. This question is standard in competitive examination syllabi for Engineering Mechanics.

$$\frac{1}{{\text{m}}}$$ is the correct answer to “The maximum mechanical advantage of a lifting machine is”. This question is standard in competitive examination syllabi for Engineering Mechanics.

Unstable is the correct answer to “A smooth cylinder lying on its convex surface remains in __________ equilibrium.”. This question is standard in competitive examination syllabi for Engineering Mechanics.

$$\omega {\text{r}}$$ is the correct answer to “The linear velocity of a body rotating at $$\omega $$ rad/s along a circular path of radius r is given by”. This question is standard in competitive examination syllabi for Engineering Mechanics.

Equal and opposite to is the correct answer to “During elastic impact, the relative velocity of the two bodies after impact is __________ the relative velocity of the two bodies before impact.”. This question is standard in competitive examination syllabi for Engineering Mechanics.

Less than 50% is the correct answer to “For a self locking machine, the efficiency must be”. This question is standard in competitive examination syllabi for Engineering Mechanics.

Nature of surface only is the correct answer to “Coefficient of friction depends upon”. This question is standard in competitive examination syllabi for Engineering Mechanics.

Coefficient of friction is the correct answer to “The ratio of limiting friction and normal reaction is known as”. This question is standard in competitive examination syllabi for Engineering Mechanics.

Meet at one point, but their lines of action do not lie on the same plane is the correct answer to “Non-coplanar concurrent forces are those forces which”. This question is standard in competitive examination syllabi for Engineering Mechanics.

Meet at one point and their lines of action also lie on the same plane is the correct answer to “Coplanar concurrent forces are those forces which”. This question is standard in competitive examination syllabi for Engineering Mechanics.

Do not meet at one point and their lines of action do not lie on the same plane is the correct answer to “Non-coplanar non-concurrent forces are those forces which”. This question is standard in competitive examination syllabi for Engineering Mechanics.

Second's pendulum is the correct answer to “A pendulum which executes one beat per second is known as”. This question is standard in competitive examination syllabi for Engineering Mechanics.

One fourth of the total height above base is the correct answer to “Centre of gravity of a solid cone lies on the axis at the height”. This question is standard in competitive examination syllabi for Engineering Mechanics.

(Velocity)2 of the vehicle is the correct answer to “The ideal angle of banking provided on the curves on roads depends upon”. This question is standard in competitive examination syllabi for Engineering Mechanics.

$${\text{T}}\omega $$ (in watts) is the correct answer to “The power developed by a body acted upon by a torque 'T' Newton meter (N - m) and revolving at $$\omega $$ radian/s is given by”. This question is standard in competitive examination syllabi for Engineering Mechanics.

W cotθ is the correct answer to “The force induced in the string BC due to the load 'W' as shown in the below figure is”. This question is standard in competitive examination syllabi for Engineering Mechanics.

0.5 cm is the correct answer to “From a circular plate of diameter 6 cm is cut out a circle whose diameter is a radius of the plate. Find the e.g. of the remainder from the centre of circular plate”. This question is standard in competitive examination syllabi for Engineering Mechanics.

Less inclined when standing is the correct answer to “If rain is falling in the opposite direction of the movement of a pedestrian, he has to hold his umbrella”. This question is standard in competitive examination syllabi for Engineering Mechanics.

Everybody continues in its state of rest or of uniform motion, in a straight line, unless it is acted upon by some external force is the correct answer to “According to Newton's first law of motion,”. This question is standard in competitive examination syllabi for Engineering Mechanics.