On a ladder resting on smooth ground and leaning against vertical wall, the force of friction will be
A. Towards the wall at its upper end
B. Away from the wall at its upper end
C. Upwards at its upper end
D. Downwards at its upper end
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On the ladder resting on the ground and leaning against a smooth vertical wall, the force of friction will be
A. Downwards at its upper end
B. Upwards at its upper end
C. Perpendicular to the wall at its upper end
D. Zero at its upper end
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Lami's theorem states that
A. Three forces acting at a point will be in equilibrium
B. Three forces acting at a point can be represented by a triangle, each side being proportional to force
C. If three forces acting upon a particle are represented in magnitude and direction by the sides of a triangle, taken in order, they will be in equilibrium
D. If three forces acting at a point are in equilibrium, each force is proportional to the sine of the angle between the other two
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Moment of inertia of a circular section about its diameter (d) is
A. 16 π d 3
B. 32 π d 3
C. 32 π d 4
D. 64 π d 4
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The range of projectile (R) on an upward inclined plane is
A. 2 u 2 sin ( α + β ) cos α g cos 2 β
B. g cos 2 β 2 u 2 sin ( α + β ) cos α
C. 2 u 2 sin ( α − β ) cos α g cos 2 β
D. g cos 2 β 2 u 2 sin ( α − β ) cos α
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If a number of forces are acting at a point, their resultant will be inclined at an angle θ with the horizontal, such that
A. tan θ = ∑ V ∑ H
B. tan θ = ∑ H ∑ V
C. tan θ = ∑ V × ∑ H
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Two coplanar couples having equal and opposite moments
A. Balance each other
B. Produce a couple and an unbalanced force
C. Are equivalent
D. Cannot balance each other
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Limiting force of friction is the
A. Tangent of angle between normal reaction and the resultant of normal reaction and limiting friction
B. Ratio of limiting friction and normal reaction
C. The friction force acting when the body is just about to move
D. The friction force acting when the body is in motion
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Coulomb friction is the friction between
A. Bodies having relative motion
B. Two dry surfaces
C. Two lubricated surfaces
D. Solids and liquids
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The slope on the road surface generally provided on the curves is known as
A. Angle of friction
B. Angle of repose
C. Angle of banking
D. None of these
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The centre of gravity a T-section 100 mm × 150 mm × 50 mm from its bottom is
A. 50 mm
B. 75 mm
C. 87.5 mm
D. 125 mm
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The moment of inertia of a thin spherical shell of mass m and radius r, about its diameter is
A. 3 m r 2
B. 3 2 m r 2
C. 5 2 m r 2
D. 5 3 m r 2
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Two like parallel forces are acting at a distance of 24 mm apart and their resultant is 20 N. It the line of action of the resultant is 6 mm from any given force, the two forces are
A. 15 N and 5 N
B. 20 N and 5 N
C. 15 N and 15 N
D. None of these
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A differential pulley block has larger and smaller diameters of 100 mm and 80 mm respectively. Its velocity ratio is
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In order to double the period of simple pendulum, the length of the string should be
A. Halved
B. Doubled
C. Quadrupled
D. None of these
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The impact between two lead spheres is approximately equal to an __________ impact.
A. Elastic
B. Inelastic
C. Solid
D. None of these
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The matter contained in a body, is called
A. Impulsive force
B. Mass
C. Weight
D. Momentum
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The maximum efficiency of a screw jack is
A. 1 + sin φ 1 − sin φ
B. 1 − sin φ 1 + sin φ
C. 1 + tan φ 1 − tan φ
D. 1 − tan φ 1 + tan φ
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Moment of inertia is the
A. Second moment of force
B. Second moment of area
C. Second moment of mass
D. All of these
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The total motion possessed by a body, is called
A. Impulsive force
B. Mass
C. Weight
D. Momentum
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