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This quiz contains multiple-choice problems on the centre of gravity, moment of inertia of areas, orthographic reading and views conversion.
Given steps in procedure to find the center of gravity of the quadrilateral ABCD. Arrange the steps. i. Draw lines joining G1 with G2 and G3 with G4. ii. In given quadrilateral draw diagonal BD and locate centers of gravity G1, G2 of triangles BCD and ABD. iii. The point of intersection of lines G1G2 and G3G4 gives the center of gravity of the quadrilateral ABCD. iv. Similarly draw the diagonal AC and determine the centers of gravity G3, G4 of triangles ABC and ADC.
Given steps in procedure to find the center of gravity of the trapezium ABCD. Arrange the steps. i. Join E and F which intersects the line PQ at G. G is center of gravity. ii. Similarly produce CD to a point F so that FD=AB. iii. Draw a line joining the midpoints P and Q of the parallel sides AB and DC respectively. iv. Produce AB to a point E so that BE=DC.
Which of the following is not the definition of center of gravity?
A point on which whole weight if body balances
A point through which the resultant of forces of gravity of every particle in body acts
It is also called center of mass
The point in the body where the gravity becomes zero
The centre of gravity of a triangle coincides with its
Centroid
Circumcentre
In-center
Ortho-center
The centre of gravity of an equilateral triangle is on its circumcentre. True or false?
True
False
The centre of gravity of a circular ring will be a
Line which acts as the axis of that ring
Point anywhere in its inner circumference
Point at centre of ring
Point on centroid of cross section of ring
For symmetrical objects, the centre of gravity lies at the intersection of axes. True or false?
True
False
The coordinates of the centre of gravity of a right-angled triangle having h as height, b as base length and vertex at 90 degrees on the origin are
(h/3,b/3)
(b/4,h/4)
(b/3,h/3)
(h/2,b/2)
Which of the following games make use of center of gravity?
Caroms
Seesaw
Tic-tac-toe
Swing
The centre of gravity of a rectangle having h as height, w as width, origin as one of its vertices and width along the x-axis is
(w/3,h/3)
(w/4,h/4)
(h/2,w/2)
(w/2,h/2)
The moment of inertia of a circle about the axis which is passing through its centre and perpendicular to that circle is
πd4/32
πd3/32
πd3/16
πd4/16
The moment of inertia of a rectangle whose base is b, height is h, and axis along the base is
b*h3/3
h*b3/3
b*h4/6
b*h3/12
The moment of inertia of a rectangle whose base is b, height is h and axis alongside of height is
b*h3/3
h*b3/3
b*h4/6
b*h3/12
The moment of inertia of a triangle having base as b, height as h and axis along the centroid and parallel the base is
b*h3/12
b*h3/24
b*h3/36
b*h3/6
A rectangle is having base b and height h. The ratio of the moment of inertia when axis passes through its base to that of when axis passes through center of gravity and parallel to base is
3
4
12
9
