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A rubber ball is dropped from a height of 2 m. If there is no loss of velocity after rebounding, the ball will rise to a height of
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4
According to law of triangle of forces
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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4
The range of projectile (R) on an upward inclined plane is
A. g. cos² β/2u². sin (α + β). cos α
B. 2u². sin (α + β). cos α/g. cos² β
C. g. cos² β/2u². sin (α - β). cos α
D. 2u². sin (α - β). cos α/g. cos² β
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4
The force applied on a body of mass 100 kg to produce an acceleration of 5 m/s2, is
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A framed structure is perfect if it contains members equal to
D. 3n² Where n = number of joints in a frame
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If three forces acting in different planes can be represented by a triangle, these will be in
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According to parallel axis theorem, the moment of inertia of a section about an axis parallel to the axis through centre of gravity (i.e. IP) is given by(where, A = Area of the section, IG = Moment of inertia of the section about an axis passing through its C.G., and h = Distance between C.G. and the parallel axis.)
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The total motion possessed by a body, is called
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Which of the following is not the unit of power?
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The time of flight (t) of a projectile on an upward inclined plane is (where u = Velocity of projection, α = Angle of projection, and β = Inclination of the plane with the horizontal.)
A. t = g cos β/2u sin (α - β)
B. t = 2u sin (α - β)/g cos β
C. t = g cos β/2u sin (α + β)
D. t = 2u sin (α + β)/g cos β
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The product of either force of couple with the arm of the couple is called
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The centre of gravity of a uniform lamina lies at
A. The centre of heavy portion
C. The midpoint of its axis
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The energy possessed by a body, for doing work by virtue of its position, is called
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4
In a framed structure, as shown in the below figure, the force in the member BC is
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Which of the following is not a vector quantity?
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When trying to turn a key into a lock, following is applied
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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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4
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
D. Perpendicular to the wall at its upper end
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A framed structure, as shown in the below figure, is a
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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
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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
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The linear acceleration (a) of a body rotating along a circular path of radius (r) with an angular acceleration of α rad/s2, is
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The velocity of a body on reaching the ground from a height h, is
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The friction experienced by a body, when at rest, is known as
D. Coefficient of friction
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A spherical body is symmetrical about its perpendicular axis. According to Routh's rule, the moment of inertia of a body about an axis passing through its centre of gravity is (where, M = Mass of the body, and S = Sum of the squares of the two semi-axes.)
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The coefficient of friction depends on
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Which of the following is not the unit of work, energy and heat?
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Which of the following statement is incorrect?
A. A force acting in the opposite direction to the motion of the body is called force of friction
B. The ratio of the limiting friction to the normal reaction is called coefficient of friction
C. A machine whose efficiency is 100% is known as an ideal machine
D. The velocity ratio of a machine is the ratio of load lifted to the effort applied
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The resultant of two forces P and Q (such that P > Q) acting along the same straight line, but in opposite direction, is given by
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The acceleration of a body sliding down an inclined surface is