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For the given values of initial velocity of projection and angle of inclination of the plane, the maximum range for a projectile projected upwards will be obtained, if the angle of projection is
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4
The bending moment in an arch is proportional to
A. Vertical ordinate of funicular polygon
B. Vertical ordinate of the arch
C. Intercept between the arch axis and the funicular polygon
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4
The centre of gravity of a quadrant of a circle lies along its central radius at a distance of
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4
A 2 m long ladder rests against a wall and makes an angle of 30° with the horizontal floor. Where will be the instantaneous center of rotation when the ladder starts slipping? (i) 1.0 in from the wall (ii) 1.732 m from the wall (iii) 1.0 m above the floor (iv) 1.732 m above the floor The correct answer is
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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
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In which of the following trusses, the method of substitution is required for determining the forces in all the members of the truss by graphic statics?
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Power developed by a torque, is
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Minimum potential energy of a system will be in the position of
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The instantaneous centre of a member lies at the point of intersection of two lines drawn at the ends of the member such that the lines are inclined to the direction of motion of the ends at
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For the system of the loads shown in below figure, the time required for the 6.6 kg load to fall on the edge, is
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If two equal forces of magnitude P act at an angle θ, their resultant, will be
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0.For maximum range of a projectile, the angle of projection should be
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A ball is dropped from a height of 2.25 m on a smooth floor and rises to a height of 1.00 m after the bounce. The coefficient of restitution between the ball and the floor is
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Two circular discs of same weight and thickness are made from metals having different densities. Which disc will have the larger rotational inertia about its central axis?
A. Disc with larger density
B. Disc with smaller density
C. Both discs will have same rotational inertia
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The unit of impulse, is
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The rotational velocity of a satellite is increased by 450 m per second if its launch is done from equator
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A cable loaded with 0.5 tonne per horizontal metre span is stretched between supports in the same horizontal line 400 m apart. If central dip is 20 m, the minimum tension in the cable, will be
A. 200 tonnes at the centre
B. 500 tonnes at the centre
C. 200 tonnes at the right support
D. 200 tonnes at the left support
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4
A cube on a smooth horizontal surface
A. Cannot be in stable equilibrium
B. Cannot be in neutral equilibrium
C. Cannot be in unstable equilibrium
D. Can be in any of these states
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If α is the angular acceleration of a compound pendulum whose angular displacement is θ, the frequency of the motion is
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A weight of 100 kg is supported by a string whose ends are attached to pegs A and B at the same level shown in below figure. The tension in the string is
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Time period and length of a seconds pendulum respectively are
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A ball moving on a smooth horizontal table hits a rough vertical wall, the coefficient of restitution between ball and wall being 1/3. The ball rebounds at the same angle. The fraction of its kinetic energy lost is
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4
In SI units, the units of force and energy are respectively
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Which one of the following laws is not applicable to a simple pendulum?
A. The time period does not depend on its magnitude
B. The time period is proportional to its length l
C. The time period is proportional to l, where l is length
D. The time period is inversely proportional to g, where g is the acceleration due to gravity
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If the resultant of two forces P and Q acting at an angle θ makes an angle α with P, then tan α equals
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The velocity of a body fallen from height h, on reaching the ground is given by
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The following is in unstable equilibrium
A. A uniform solid cone resting on a generator on a smooth horizontal plane
B. A uniform solid cone resting on its base on a horizontal plane
C. A solid cube resting on one edge
D. A satellite encircling the earth
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4
Maximum efficiency of a screw jack for the angle of friction θ, is
C. (1 + sin θ)/(1 - sin θ)
D. (1 - sin θ)/(1 + sin θ)
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A satellite goes on moving along its orbit round the earth due to
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It is observed that in a certain sinusoidal oscillation, the amplitude is linearly dependent on the frequency f. If the maximum velocity during the oscillation is V, then V must be proportional to