If two bodies having masses m1 and m2 (m1 > m2 ) have equal kinetic energies, the momentum of body having mass m1 is _________ the momentum of body having mass m2 .
A. Equal to
B. Less than
C. Greater than
D. None of these
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The algebraic sum of the resolved parts of a number of forces in a given direction is equal to the resolved part of their resultant in the same direction. This is known as
A. Principle of independence of forces
B. Principle of resolution of forces
C. Principle of transmissibility of forces
D. None of these
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In the shown figure, if the angle of inclination of the plane is increased, then acceleration of the system will
A. Increase
B. Decrease
C. Remain the same
D. None of these
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Three forces acting on a rigid body are represented in magnitude, direction and line of action by the three sides of a triangle taken in order. The forces are equivalent to a couple whose moment is equal to
A. Area of the triangle
B. Twice the area of the triangle
C. Half the area of the triangle
D. None of these
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The M.I. of hollow circular section about a central axis perpendicular to section as compared to its M.I. about horizontal axis is
A. Same
B. Double
C. Half
D. Four times
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A weight of 1000 N can be lifted by an effort of 80 N. If the velocity ratio is 20, the machine is
A. Reversible
B. Non-reversible
C. Ideal
D. None of these
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A ladder is resting on a rough ground and leaning against a smooth vertical wall. The force of friction will act
A. Downward at its upper end
B. Upward at its upper end
C. Zero at its upper end
D. Perpendicular to the wall at its upper end
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A ladder is resting on a smooth ground and leaning against a rough vertical wall. The force of friction will act
A. Towards the wall at its upper end
B. Away from the wall at its upper end
C. Downward at its upper end
D. Upward at its upper end
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The moment of inertia of a rectangular section 3 cm wide and 4 cm deep about X-X axis is
A. 9 cm4
B. 12 cm4
C. 16 cm4
D. 20 cm4
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The product of either force of couple with the arm of the couple is called
A. Resultant couple
B. Moment of the forces
C. Resulting couple
D. Moment of the couple
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The resolved part of the resultant of two forces inclined at an angle 'θ' in a given direction is equal to
A. The algebraic sum of the resolved parts of the forces in the given direction
B. The sum of the resolved parts of the forces in the given direction
C. The difference of the forces multiplied by the cosine of θ
D. The sum of the forces multiplied by the sine of θ
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One end of a helical spring is fixed while the other end carries the load W which moves with simple harmonic motion. The frequency of motion is given by (where δ = Deflection of the spring.)
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The moment of inertia of a sphere of mass 'm' and radius 'r', about an axis tangential to it, is
A. 3 2 m r 2
B. 5 2 m r 2
C. 3 7 m r 2
D. 5 7 m r 2
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If the masses of both the bodies, as shown in the below figure, are reduced to 50 percent, then tension in the string will be
A. Same
B. Half
C. Double
D. None of these
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The range of projectile will be maximum for a given velocity of projectile, when the angle of projection (α ) is
A. 2 β
B. 30° + 2 β
C. 45° + 2 β
D. 60° + 2 β
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Moment of inertia of a rectangular section having width (b) and depth (d) about an axis passing through its C.G. and parallel to the depth (d), is
A. 12 d b 3
B. 12 b d 3
C. 36 d b 3
D. 36 b d 3
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Moment of inertia of a rectangular section having width (b) and depth (d) about an axis passing through its C.G. and parallel to the width (b), is
A. 12 d b 3
B. 12 b d 3
C. 36 d b 3
D. 36 b d 3
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A smooth cylinder lying on a __________ is in neutral equilibrium.
A. Curved surface
B. Convex surface
C. Horizontal surface
D. None of these
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The resultant of the following three couples 20 kg force, 0.5 m arm, +ve sense 30 kg force, 1 m arm, -ve sense 40 kg force, 0.25 m arm, +ve sense having arm of 0.5 m will be
A. 20 kg, -ve sense
B. 20 kg, +ve sense
C. 10 kg, +ve sense
D. 10 kg, -ve sense
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A couple produces
A. Translatory motion
B. Rotational motion
C. Combined translatory and rotational motion
D. None of the above
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