Engineering Mechanics - Equilibrium of Rigid Bodies - Engineering Mechanics - Properties of Surfaces and Solids

__(PROPERTIES OF SURFACES AND
SOLIDS)__

1.
**Define
centroid of gravity.**

Centroid
is the geometrical center of the body whereas center of gravity is the point
through which weight of the body acts.

2. **Difine first moment of an area about of an axis.**

The first
moment of an area about of an axis is the product of an area and the
perpendicular distance of its centroid from axis.

**3. Define line of symmetry.**

Line of
symmetry is line a about which the area on one side is a mirror image of the
area of the side

**4. State pappus-guldinus theorem
for finding surface area.**

The area
of surface of revolution is equal to the product of the length of the
generating curve and the distance travelled by the centroid of the generating
curve while generating that surface.

**5.What is uniform motion.**

If the
velocity of body does not change with time ,then the motion is called as
uniform motion.

**6.state parallel axis theorem.**

Moment of
inertia of an area about an axis is equal to the sum of (a) moment of inertia
an axis passing through the centroid parallel to the given axis and (b) the
product of area and square of the distance between the two parallel axes.

**7.Define principal axes and principal moment of
inertia.**

The axes
about which moments or inertia is maximum and minimum are known as principal
axes .when these two axes are passing through centroid of aera it is known a
centroidal principal axis.now the maximum and minimum moments of inertia are
called principal moments of inertia.

**8.What is called the coefficient of static
friction.**

As the
force ‘P’ increases, ‘F’ also increases but the body remains at rest and is in
equilibrium. If ‘F’ reaches a limiting value friction or from when ‘P’ is
increases it loses its balance and hence the body slides to right.

**9.state the Coulomb’s laws of dry friction.**

(i) when a
body kept on another body is subjected to a horizontal force, friction force
developed at the surfaces of contact of two bodies has a magnitude equal to
that of the horizontal force applied. When one body moves over another,the
magnitude of the friction force is less than that of the horizontal force.

(ii) The
friction force acts in the direction opposite to that of the moving body.

(iii) The
friction force is proportional to the normal reaction developed at the contact
surface.

(iv) The
friction force does is not depend on the apparent area of the surfaces in
contact

**10.What is the condition in terms of efficiency for
a machine to be self-locking.**

When the
efficiency of a machine is less than 50%, it is said to be self-locking

1. State
parallel axis theorem 2.State perpendicular axis theorem

3.Find
the polar moment of inertia of a hollow circular section of external diameter
‘D’ and internal diameter ‘d’

4.Define
principal axes and principal moment of inertia

5.Locate
the centroid and calculate the moment of inertia about centroidal axes of a
semicircular lamina of radius 2m.

6.A
semicircular area having a radius of 100 mm is located in the XY-plane such
that its diameter

coincides
with Y-axis.Determine the X-coordinate of the center. 7.Distiguish between
centroid and center of gravity.

8.Define
polar moment of inertia.

9.Differentiate
between ‘Mass moment of inertia’ and ‘Area moment of inertia’

10.Write
down the expression for finding mass moment of inertia of a cylinder of radius
‘R’ and height ‘h’ about its base.

1. Determine the co-odinates of centroid of
the shaded area shown in figure.

2. A
Cylinder of height of 10 cm and radius of base 4 cm is placed under sphere of
radius 4 cm such that they have a common vertical axis. If both of them are
made of the same material, locate the centre of gravity of the combined unit.

3. Find the
moment of inertia of the section shown in the figure about its horizontal
centroidal axis.

4.
Calculate the mass moment of inertial of the plate shown in figure with respect
to the axis AB. Thickness of the plate is 5 mm and density of the material is
6500 Kg/m3.

5. Derive
expression form mass moment of inertia of prism along three axes.

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Engineering Mechanics : Properties of Surfaces and Solids : Important Questions and Answers: Properties of Surfaces and Solids |

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