Statistics Test

Result

Statistics Test - 15

Score
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Rank
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Weekly Quiz Competition

Question 1
4 / -1

A
0

B

C

D
5

Solution
Question 2
4 / -1

A couple is of moment G and the force forming the couple is P. If P is turned through a right angle, the moment of the couple thus formed is H. If instead, the force P are turned an angle α, then the moment ofcouple becomes

A
G sin α –H cos α

B
H cos α+ G sin α

C
G cos α + H sin α

D
H sin α –G cos α

Solution
Question 3
4 / -1

The resultant of the forces 4, 3, 4 and 3 unit actingalong the lines AB, BC, CD and DA of a square ABCD of side \'a\' respectively is

A
A force 5√2 through the centre of the square

B
A couple of moment 7a

C
A null force

D
None of the above

Solution
Question 4
4 / -1

Three like parallel forces P, Q, R act at the corner pointsof a triangle ABC. Their resultant passes through the circumcentre, if

A

B

C

D
None of these

Solution
Question 5
4 / -1

A and B are two like parallel forces. A couple of moment H lies in the plane of A and B contained with them. The resultant of A and B after combining isdisplaced through a distance

A

B

C

D

Solution
Question 6
4 / -1

A system of five forces whose directions and non-zero magnitudes can be chosen arbitrarily, will never be in equilibrium if n of the forces are concurrent, where

A
n = 2

B
n = 3

C
n = 4

D
n = 5
Question 7
4 / -1

A uniform rod of weight W and length 2l is resting in a smooth spherical bowl of radius r. The rod is inclined to the horizontal at an angle of

A
0°

B

C

D
Question 8
4 / -1

There is a system of coplanar forces acting on a rigid body represented in magnitude, direction and sense by the sides of a polygon taken in order, then the system is equivalent to

A
A single non-zero force

B
A zero force

C
A couple, where moment is equal to the area of polygon

D
A couple, where moment is twice the area of polygon
Question 9
4 / -1

A 2m long uniform rod ABC is resting against a smooth vertical wall at the end A on a smooth peg at a point B. If distance of B from the wall is 0.3 m, then

A
AB < 0.3 m

B
AB < 1.0 m

C
AB > 0.3 m

D
AB > 1.0 m

Solution
Question 10
4 / -1

The resultant of two forces sec B and sec C along sidesAB, AC of a triangle ABC is a force acting along AD, where D is

A
Middle point of BC

B
Foot of perpendicular from A on BC

C
D divides BC in the ratio cos B : cos C

D
D divides BC in the ratio cos C : cos B

Solution