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Home
Statistics Test - 17
Statistics Test - 17
Result
Statistics Test - 17
/
Score
-
Rank
Time Taken:
-
Question
1/10
4 / -1
A body is on the point of sliding down an inclined plane under its own weight. If the inclination of the plane tothe horizon be 30°, the angle of friction will be
Correct
Wrong
Skipped
A
30°
Correct
Wrong
Skipped
B
60°
Correct
Wrong
Skipped
C
45°
Correct
Wrong
Skipped
D
15°
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Solutions
Question
2/10
4 / -1
A circular cylinder of radius r and height h rests on a rough horizontal plane with one of its flat ends on the plane. A gradually increasing horizontal force is applied through the centre of the upper end. If thecoefficient of friction is μ, the cylinder will topple before sliding, if
Correct
Wrong
Skipped
A
r < µh
Correct
Wrong
Skipped
B
r ≥ µh
Correct
Wrong
Skipped
C
r ≥ 2µh
Correct
Wrong
Skipped
D
r = 2µh
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Solutions
Question
3/10
4 / -1
A uniform beam AB of weight W is standing with the end B on a horizontal floor and end A leaning against a vertical wall. The beam stands in a vertical plane perpendicular to the wall inclined at 45° to the vertical, and is in the position of limiting equilibrium. If the two points of contact are equally rough, then the coefficient of friction at each of them is
Correct
Wrong
Skipped
A
Correct
Wrong
Skipped
B
Correct
Wrong
Skipped
C
Correct
Wrong
Skipped
D
None of these
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Solutions
Question
4/10
4 / -1
A body is pulled up an inclined rough plane. Let λ be the angle of friction. The required force is least when it makes an angle kλ with the inclined plane, where k =
Correct
Wrong
Skipped
A
Correct
Wrong
Skipped
B
Correct
Wrong
Skipped
C
1
Correct
Wrong
Skipped
D
2
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Solutions
Question
5/10
4 / -1
A force of 35 kg is required to pull a block of wood weighing 140 kg on a rough horizontal surface. The coefficient of friction is
Correct
Wrong
Skipped
A
1
Correct
Wrong
Skipped
B
0
Correct
Wrong
Skipped
C
4
Correct
Wrong
Skipped
D
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Solutions
Question
6/10
4 / -1
A uniform ladder rests in limiting equilibrium, its lower end on a rough horizontal plane and its upper end against a smooth vertical wall. If θ is the angle of inclination of the ladder to the vertical wall and μ is the coefficient of friction, then tan θ is equal to
Correct
Wrong
Skipped
A
µ
Correct
Wrong
Skipped
B
2 µ
Correct
Wrong
Skipped
C
Correct
Wrong
Skipped
D
μ + 1
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Solutions
Question
7/10
4 / -1
A body of 6 kg rests in limiting equilibrium on an inclined plane whose slope is 30°. If the plane is raised to slope of 60°, the force in kg wt along the planerequired to support it is
Correct
Wrong
Skipped
A
3
Correct
Wrong
Skipped
B
2√3
Correct
Wrong
Skipped
C
√3
Correct
Wrong
Skipped
D
3√3
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Solutions
Question
8/10
4 / -1
The C.G. of three particles placed at the vertices of a triangle is at its
Correct
Wrong
Skipped
A
Incentre
Correct
Wrong
Skipped
B
Centroid
Correct
Wrong
Skipped
C
Circumcentre
Correct
Wrong
Skipped
D
Orthocentre
Question
9/10
4 / -1
A square hole is punched out of a circular lamina of diameter 4 cm, the diagonal of the square being a radius of the circle. Centroid of the remainder from the centre of the circle is at a distance
Correct
Wrong
Skipped
A
Correct
Wrong
Skipped
B
Correct
Wrong
Skipped
C
Correct
Wrong
Skipped
D
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Solutions
Question
10/10
4 / -1
A body consists of a solid cylinder with radius a and height a together with a solid hemisphere of radius a placed on the base of the cylinder. The centre of gravity of the complete body is
Correct
Wrong
Skipped
A
Inside the cylinder
Correct
Wrong
Skipped
B
Inside the hemisphere
Correct
Wrong
Skipped
C
On the interface between the two
Correct
Wrong
Skipped
D
Outside both
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Solutions
Re-attempt
-
Correct (
-
)
Wrong (
-
)
Skipped (
-
)
1
2
3
4
5
6
7
8
9
10
Re-attempt
-
Correct (
-
)
Wrong (
-
)
Skipped (
-
)
1
2
3
4
5
6
7
8
9
10
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