The resultant of two equal forces P making an angle θ , is given by
A. 2 P sin 2 θ
B. 2 P cos 2 θ
C. 2 P tan 2 θ
D. 2 P cot 2 θ
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A framed structure is perfect, if the number of members are __________ (2j - 3), where j is the number of joints.
A. Equal to
B. Less than
C. Greater than
D. None of these
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If a number of forces are acting at a point, their resultant is given by
A. ( ∑ V ) 2 + ( ∑ H ) 2
B. C. ( ∑ V ) 2 + ( ∑ H ) 2 + 2 ( ∑ V ) ( ∑ H )
D. Select an option to see the answer and solution.
The linear acceleration (a) of a body rotating along a circular path of radius (r) with an angular acceleration of α rad/s2 , is
A. a = r α
B. a = α r
C. a = α r
D. None of these
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Moment of inertia of a circular section about an axis perpendicular to the section 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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According to parallel axis theorem, the moment of inertia of a section about an axis parallel to the axis through center of gravity (i.e. I P ) is given by (where, A = Area of the section, I G = Moment of inertia of the section about an axis passing through its C.G. and h = Distance between C.G. and the parallel axis.)
A. I P = I G + A h 2
B. I P = I G − A h 2
C. I P = A h 2 I G
D. I P = I G A h 2
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The friction experienced by a body, when at rest, is known as
A. Static friction
B. Dynamic friction
C. Limiting friction
D. Coefficient of friction
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The energy possessed by a body, for doing work by virtue of its position, is called
A. Potential energy
B. Kinetic energy
C. Electrical energy
D. Chemical energy
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The coefficient of friction depends upon
A. Nature of surfaces
B. Area of contact
C. Shape of the surfaces
D. All of the above
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For any system of coplanar forces, the condition of equilibrium is that the
A. Algebraic sum of the horizontal components of all the forces should be zero
B. Algebraic sum of the vertical components of all the forces should be zero
C. Algebraic sum of moments of all the forces about any point should be zero
D. All of the above
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Center of gravity of a thin hollow cone lies on the axis at a height of
A. One-fourth of the total height above base
B. One-third of the total height above base
C. One-half of the total height above base
D. Three-eighth of the total height above the base
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The time of flight of a projectile on downward inclined plane depends upon
A. Angle of projection
B. Angle of inclination of the plane
C. Both (A) and (B)
D. None of these
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In a single threaded worm and worm wheel, the number of teeth on the worm is 50. The diameter of the effort wheel is 100 mm and that of load drum is 50 mm. The velocity ratio is
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The potential energy of a vertically raised body is __________ the kinetic energy of a vertically falling body.
A. Equal to
B. Less than
C. Greater than
D. None of these
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A block of mass m
1 , placed on an inclined smooth plane is connected by a light string passing over a smooth pulley to mass m
2 , which moves vertically downwards as shown in the below figure. The tension in the string is
A. m 2 m 1
B. m 1 g sin α
C. m 1 + m 2 m 1 m 2
D. m 1 + m 2 m 1 m 2 g ( 1 + sin α )
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Which of the following is not the unit of energy?
A. kg m
B. kcal
C. Watt
D. Watt hours
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Which one of the following statements is not correct?
A. The tangent of the angle of friction is equal to coefficient of friction
B. The angle of repose is equal to angle of friction
C. The tangent of the angle of repose is equal to coefficient of friction
D. The sine of the angle of repose is equal to coefficient to friction
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Moment of inertia of a hollow circular section, as shown in the below figure about X-axis, is
A. 16 π ( D 2 − d 2 )
B. 16 π ( D 3 − d 3 )
C. 32 π ( D 4 − d 4 )
D. 64 π ( D 4 − d 4 )
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The forces, whose lines of action are parallel to each other and act in the same directions, are known as
A. Coplanar concurrent forces
B. Coplanar non-concurrent forces
C. Like parallel forces
D. Unlike parallel forces
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The velocity ratio in case of an inclined plane inclined at angle 'θ' to the horizontal and weight being pulled up the inclined plane by vertical effort is
A. sinθ
B. cosθ
C. tanθ
D. cosecθ
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