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4

A car goes round a curve of radius 100 m at 25 m/sec. The angle to the horizontal at which the road must be banked to prevent sideways friction on the car wheels is tan1 x, where x is (Assume g = 10 m/sec²)

A. 3/8

B. 1/2

C. 9/5

D. 5/8

Correct Answer :

D. 5/8


Related Questions

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4

A flywheel of moment of inertia 20 kgm is acted upon by a tangential force of 5 N at 2 m from its axis, for 3 seconds. The increase in angular velocity in radian per second is

A. 1/2

B. 3/2

C. 2

D. 3

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4

Equation of motion of a point in a straight line, is

A. v = u + ft

B. S = ut + ½ ft2

C. 2fS = v2 - u2

D. All the above

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4

Effect of a force on a body depends upon its

A. Direction

B. Magnitude

C. Position

D. All the above

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4

A sphere is resting on two planes BA and BC which are inclined at 45° and 60° respectively with the horizontal. The reaction on the plane BA will be

A. Less than that on BC

B. More than that of BC

C. Equal to that on BC

D. None of these

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4

When a body moves round a fixed axis, it has

A. A rotary motion

B. A circular motion

C. A translatory

D. A rotary motion and translatory motion

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4

A ladder of weight 'w' rests against a smooth vertical wall, and rests on rough horizontal ground, the coefficient of friction between the ladder and the ground being 1/4. The maximum angle of inclination of the ladder to the vertical, if a man of weight 'w' is to walk to the top of it safely, is tan'1 x, where x is

A. 1/4

B. 1/3

C. 3

D. 4

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4

The point about which combined motion of rotation and translation of a rigid body takes place, is known as

A. Virtual centre

B. Instantaneous centre

C. Instantaneous axis

D. Point of rotation

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4

Free body diagram is an

A. Isolated joint with only body forces acting on it

B. Isolated joint with internal forces acting on it

C. Isolated joint with all the forces, internal as well as external, acting on it

D. None of the above

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4

The masses of two balls are in the ratio of 2 : 1 and their respective velocities are in the ratio of 1 : 2 but in opposite direction before impact. If the coefficient of restitution is ½, the velocities of separation of the balls will be equal to

A. Original velocity in the same direction

B. Half the original velocity in the same direction

C. Half the original velocity in the opposite direction

D. Original velocity in the opposite direction

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4

For a body moving with simple harmonic motion, the number of cycles per second, is known as its

A. Oscillation

B. Amplitude

C. Periodic time

D. Frequency

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4

A particle moving with a simple harmonic motion, attains its maximum velocity when it passes

A. The extreme point of the oscillation

B. Through the mean position

C. Through a point at half amplitude

D. None of these

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4

If α is the angular acceleration of a compound pendulum whose angular displacement is θ, the frequency of the motion is

A. 2π √(α/θ)

B. (1/2π) √(α/θ)

C. 4π √(α/θ)

D. 2π √(α - θ)

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4

In a lifting machine with efficiency 60%, an effort of 200 N is required to raise a load of 6 kN. The velocity ratio of the machine is

A. 30

B. 50

C. 60

D. 80

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4

A satellite moves in its orbit around the earth due to

A. Gravitational force

B. Centripetal force

C. Centrifugal force

D. None of these

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4

A circular disc rotates at n rpm. The angular velocity of a circular ring of same mass and radius as the disc and to have the same angular momentum is

A. n rpm

B. n/2 rpm

C. n/4 rpm

D. 2n rpm

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4

The units of moment of inertia of an area are

A. kg/m

B. kg/m2

C. m4

D. m3

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4

A weight W is suspended at the free end of a light member hinged to a vertical wall. If the angle of inclination of the member with the upper wall is θ°, the force introduced in the member, is

A. W sec θ

B. W cos θ

C. W sin θ

D. W cosec θ

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4

The motion of a bicycle wheel is

A. Translatory

B. Rotary

C. Rotary and translatory

D. Curvilinear

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4

The unit of impulse, is

A. kg.m/sec

B. kg.m/sec

C. kg.m/sec2

D. kg.m/sec

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4

A ball is dropped from a height of 16 m on a horizontal floor. If it rebounds to a height of 9 m after striking the floor, the coefficient of restitution between ball and floor is

A. 1/4

B. 2/3

C. 3/4

D. 4/3

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4

If two forces acting at a point are in equilibrium, they must be equal in magnitude and their line of action must be along

A. The same line in the same sense

B. The same line in opposite sense

C. The perpendicular to both the lines

D. None of these

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4

Two forces of 6 Newtons and 8 Newtons which are acting at right angles to each other, will have a resultant of

A. 5 Newtons

B. 8 Newtons

C. 10 Newtons

D. 12 Newtons

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4

Coefficient of friction depends on

A. Nature of surfaces only

B. Area of contact only

C. Both (A) and (B)

D. None of the above

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4

If the gravitational acceleration at any place is doubled, the weight of a body, will

A. Be reduced to half

B. Be doubled

C. Not be affected

D. None of these

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4

For a self-locking machine, the efficiency should be

A. Less than 60%

B. 50 %

C. More than 50%

D. None of these

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4

The following statement is one of the laws of Dynamic friction

A. The force of friction always acts in a direction opposite to that in which a body is moving

B. The magnitude of the kinetic friction bears a constant ratio to the normal reaction between two surfaces. The ratio being slightly less than that in the case of limiting friction

C. For moderate speeds the force of friction remains constant but decreases slightly with the increase of speed

D. All the above

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4

A rod AB carries three loads of 30 N, 70 N and 100 N at distances of 20 mm, 90 mm and 150 mm respectively from A. Neglecting the weight of the rod, the point at which the rod will balance is

A. 109.5 mm from A

B. 119.5 mm from A

C. 125.5 mm from A

D. 132.5 mm from A

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4

A stone is thrown up a slope of inclination 60° to the horizontal. At what angle to the slope must the stone be thrown so as to land as far as possible from the point of projection?

A. 15°

B. 30°

C. 45°

D. 75°

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4

The C.G. of a hemisphere from its base measured along the vertical radius is at a distance of

A. 4R/3π

B. 3R/8

C. 3πR/4

D. 8R/3

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4

A simple pendulum of length l has an energy E, when its amplitude is A. If the length of pendulum is doubled, the energy will be

A. E

B. E/2

C. 2E

D. 4E