JEE Questions for Maths Statistics Quiz 5

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

0%
AB < 0.3 m
0%
AB < 1.0 m
0%
AB > 0.3 m
0%
AB > 1.0 m

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

0%
Middle point of BC
0%
Foot of perpendicular from A on BC
0%
D divides BC in the ratio cos B : cos C
0%
D divides BC in the ratio cos C : cos B

Three coplanar forces each of weight 10 kilogram are acting at a particle. If their line of actions make same angle, then their resultant force will be

0%
Zero
0%
5√2
0%
10√2
0%
20

A circular ring having radius 3 cm hanged 4 cm above the centre of ring by four string on equal interval of circumference. If angle between two consecutivestrings is θ, then cos θ will be

0%
0%
2)
0%
0%
None of these

A uniform triangular lamina whose sides are of length 3 cm, 4 cm and 5 cm, is suspended by a string tied at the middle point of the largest side. In equilibrium position the inclination of this side to the vertical is

0%
0%
2)
0%
0%
None of these

A rough plane is inclined at an angle α to the horizon. A body is just to slide due to its own weight. The angle of friction would be

0%
tan–1α
0%
α
0%
tan α
0%
2α

A particle is resting on a rough inclined plan with inclination α. The angle of friction is λ, the particle will be at rest if and only if,

0%
α > λ
0%
α ≥ λ
0%
α ≤ λ
0%
α < λ

A body of weight W rests on a rough plane, whose coefficient of friction is μ (= tan λ ) which is inclined at an angle αwith the horizon. The least force required to pull the body up the plane is

0%
2W sin (α + λ )
0%
W sin(α + λ )
0%
W sin (α – λ )
0%
2W sin (α – λ )

The coefficient of friction between the floor and a box weighing 1 ton if a minimum force of 600 kg is required to start the box moving is

0%
0%
2)
0%
0%
1

A body is in equilibrium on a rough inclined plane of which the coefficient of friction is (1/√. The angle of inclination of the plane is gradually increased. The body will be on the point of sliding downwards, when the inclination of the plane reaches

0%
15°
0%
30°
0%
45°
0%
60°

A body of weight 40 kg rests on a rough horizontal plane, whose coefficient of friction is 0.25. The least force which acting horizontally would move the body is

0%
10 kg wt
0%
20 kg wt
0%
30 kg wt
0%
40 kg wt

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

0%
30°
0%
60°
0%
45°
0%
15°

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

0%
r < µh
0%
r ≥ µh
0%
r ≥ 2µh
0%
r = 2µh

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

0%
0%
2)
0%
0%
None of these

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 =

0%
0%
2)
0%
1
0%
2

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

0%
1
0%
0
0%
4
0%

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

0%
µ
0%
2 µ
0%
0%
μ + 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

0%
3
0%
2√3
0%
√3
0%
3√3

The C.G. of three particles placed at the vertices of a triangle is at its

0%
Incentre
0%
Centroid
0%
Circumcentre
0%
Orthocentre

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

0%
0%
2)
0%
0%

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

0%
Inside the cylinder
0%
Inside the hemisphere
0%
On the interface between the two
0%
Outside both

Weights 2, 3, 4 and 5 lbs are suspended from a uniform lever 6 ft long at distances of 1, 2, 3 and 4 ft from one end. If the weight of the lever is 11 lbs, then the distance of the point at which it will balance from this end is

0%
0%
2)
0%
0%
None of these

If the line of action of the resultant of two forces P and Q divides the angle between them in the ratio 1 : 2, then the magnitude of the resultant is

0%
0%
2)
0%
0%

P and Q are like parallel forces. If P is moved parallel to itself through a distance x, then the resultant of P and Q moves through a distance

0%
0%
2)
0%
0%
None of these

At what height from the base of a vertical pillar, a string of length 6 metre be tied, so that man sitting on the ground and pulling the other end of the string has to apply minimum force to overturn the pillar

0%
1.5 m
0%
3√2 m
0%
3√3 m
0%
4√2 m

0%
0%
2)
0%
0%
None of these

A beam whose centre of gravity divides it into two portions a and b is placed inside a smooth horizontal sphere. If θ be its inclination to the horizon in the position of equilibrium and 2α be the angle subtended by the beam at the centre of the sphere, then

0%
0%
2)
0%
0%

The resultant of two forces P and Q is R. If Q is doubled, R is doubled and if Q is reversed, R is again doubled. Ifthe ratio P² : Q²: R² = 2 : 3 : x, then x is equal to

0%
5
0%
4
0%
3
0%
2

The resultant of P and Q is R. If P is reversed, Q remaining the same, the resultant becomes R\'. If R is perpendicular to R\', then

0%
2P = Q
0%
P = Q
0%
P = 2Q
0%
None of these

0%
0%
2)
0%
0%

JEE Questions for Maths Statistics Quiz 5 - MCQExams.com

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Practice Maths Quiz Questions and Answers

JEE Questions for Maths Statistics Quiz 5 - MCQExams.com

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Practice Maths Quiz Questions and Answers

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