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4

According to Kennedy's theorem, if three bodies have plane motions, their instantaneous centres lie on

A. A point

B. A straight line

C. Two straight lines

D. A triangle

Correct Answer :

B. A straight line


Related Questions

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4

Work may be defined as

A. Force × distance

B. Force × velocity

C. Force × acceleration

D. None of these

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4

A spring scale in a stationary lift shows a reading of 60 kg for a man standing on it. If the lift starts descending at an acceleration of g/5, the scale reading would be

A. 48 kg

B. 60 kg

C. 72 kg

D. None of these

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4

The resolved part of the resultant of two forces inclined at an angle θ in a given direction is

A. Algebraic sum of the resolved parts of the forces in the direction

B. Arithmetical sum of the resolved parts of the forces in the direction

C. Difference of the forces multiplied by cosine θ°

D. Sum of the forces multiplied by the tangent θ°

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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

At the instantaneous center, the velocity of the moving lamina at any instant is

A. Zero

B. Maximum

C. Minimum

D. Varying

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4

A body is dropped from a height of 100 m and at the same time another body is projected vertically upward with a velocity of 10 m/sec. The two particles will

A. Never meet

B. Meet after 1 sec

C. Meet after 5 sec

D. Meet after 10 sec

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4

The condition for a lifting machine to be reversible is that its efficiency should be

A. Less than 50%

B. More than 50%

C. More than 66.67%

D. Equal to 100%

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4

A uniform pyramid and a uniform prism of same height lie with their base on the surface. Which is more stable?

A. Pyramid

B. Prism

C. Both equally stable

D. None of the above

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4

The velocity of a body fallen from height h, on reaching the ground is given by

A. v = 2gh

B. v = 2gh2

C. v = √(2gh)

D. v = 1/√(2gh)

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4

When a body of mass M1 is hanging freely and another of mass M2 lying on a smooth inclined plane(α) are connected by a light index tensile string passing over a smooth pulley, the acceleration of the body of mass M1, will be given by

A. g(M1 + M2 sin α)/(M1 + M2) m/sec

B. g(M1 - M2 sin α)/(M1 + M2) m/sec²

C. g(M2 + M1 sin α)/(M1 + M2) m/sec²

D. g(M2 × M1 sin α)/(M2 - M1) m/sec²

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4

μ is coefficient of friction. A wheeled vehicle travelling on a circular level track will slip and overturn simultaneously if the ratio of its wheel distance to the height of its centroid, is

A. μ

B.

C.

D. ½μ

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4

The inherent property of a body which offers reluctance to change its state of rest or uniform motion, is

A. Weight

B. Mass

C. Inertia

D. Momentum

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4

The locus of the instantaneous centre of a moving rigid body, is

A. Straight line

B. Involute

C. Centroid

D. Spiral

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4

A load of 500 kg was lifted through a distance of 13 cm. by an effort of 25 kg which moved through a distance of 650 cm. The mechanical advantage of the lifting machine is

A. 15

B. 18

C. 20

D. 26

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4

The time period of a simple pendulum depends on (i) Mass of suspended particle (ii) Length of the pendulum (iii) Acceleration due to gravity The correct answer is

A. Only (i)

B. Both (ii) and (iii)

C. Both (i) and (iii)

D. All are correct

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4

A particle moves along a straight line such that distance x traversed in t seconds is given by x = t2(t + 1), the acceleration of the particle, will be

A. 3t3 - 2t

B. 3t2 + 2t

C. 6t - 2

D. 6t + 2

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4

The pole distance is measured in

A. Distance scale

B. Force scale

C. Mass scale

D. Time scale

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4

Periodic time of body moving with simple harmonic motion, is

A. Directly proportional to its angular velocity

B. Directly proportional to the square of its angular velocity

C. Inversely proportional to the square of its angular velocity

D. Inversely proportional to its angular velocity

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4

Kinetic friction may be defined as

A. Friction force acting when the body is just about to move

B. Friction force acting when the body is in motion

C. Angle between normal reaction and resultant of normal reaction and limiting friction

D. Ratio of limiting friction and normal reaction

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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 in equilibrium undergoes an infinitely small displacement, work imagined to be done, is known as

A. Imaginary work

B. Negative work

C. Virtual work

D. None of these

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4

Parallelogram Law of Forces states, if two forces acting simultaneously on a particle be represented in magnitude and direction by two adjacent sides of a parallelogram, their resultant may be represented in magnitude and direction by

A. Its longer side

B. Its shorter side

C. The diagonal of the parallelogram which does not pass through the point of intersection of the forces

D. The diagonal of the parallelogram which passes through the point of intersection of the forces

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4

A funicular polygon cannot be made to pass through

A. One specified point

B. Two specified points

C. Three specified points

D. More than three specified points

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4

An ordinate in a funicular polygon represents

A. Shear force

B. Resultant force

C. Bending moment

D. Equilibrium

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4

Cartesian form of the equation of catenary is

A. y = c cosh x/c

B. y = c sinh x/c

C. y = c tan x/c

D. y = c sin x/c

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4

If l is the span of a light suspension bridge whos each cable carries total weight (w) and the central dip is y, the horizontal pull at each support, is

A. wl/4y

B. wl/8y

C. wl/2y

D. wl

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4

A satellite is said to move in a synchronous orbit if it moves at an altitude of 36, 000 km with a maximum velocity of about

A. 7000 km per hour

B. 8000 km per hour

C. 9000 km per hour

D. 11,000 km per hour

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4

A number of forces acting simultaneously on a particle of a body

A. May not be replaced by a single force

B. May be replaced by a single force

C. May be replaced by a single force through C.G. of the body

D. May be replaced by a couple

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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

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4

The resultant of two forces P and Q is R. If Q is doubled, the new resultant is perpendicular to P. Then,

A. P = R

B. Q = R

C. P = Q

D. None of the above is correct