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A cable loaded with 10 kN/m of span is stretched between supports in the same horizontal line 100 m apart. If the central dip is 10 m, then the maximum and minimum pull in the cable respectively are
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If l is the span of a light suspension bridge whos each cable carries total weight (w) and the central dip is y, the horizontal pull at each support, is
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The tension in a cable supporting a lift
A. Is more when the lift is moving downwards
B. Is less when the lift is moving upwards
C. Remains constant whether its moves downwards or upwards
D. Is less when the lift is moving downwards
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Moment of inertia of a squares of side b about an axis through its centre of gravity, is
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A square hole is made in a circular lamina, the diagonal of the square is equal to the radius of the circle as shown in below figure the shift in the centre of gravity is
A. r (π - 0.75)/(π - 0.5)
B. r (π - 0.25)/(π - 0.75)
C. r (π - 0.5)/(π - 0.75)
D. r (π - 0.5)/(π - 0.25)
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Select the correct statement
A. The body centrode rolls on the space centrode
B. The space centrode rolls on the body centrode
C. Both body and space centrodes may role on each other
D. The body centrode never touches space centrode
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A flywheel of moment of inertia 20 kgm is acted upon by a tangential force of 5 N at 2 m from its axis, for 3 seconds. The increase in angular velocity in radian per second is
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P is the force acting on a body whose mass is m and acceleration is f. The equation P - mf= 0, is known as
B. Equation of dynamic equilibrium
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The following statement is one of the laws of Dynamic friction
A. The force of friction always acts in a direction opposite to that in which a body is moving
B. The magnitude of the kinetic friction bears a constant ratio to the normal reaction between two surfaces. The ratio being slightly less than that in the case of limiting friction
C. For moderate speeds the force of friction remains constant but decreases slightly with the increase of speed
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One Newton force, is
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A projectile is thrown at an angle α to the horizontal with velocity v. It will have the maximum centripetal acceleration
B. At the top of the trajectory
C. As it strikes the ground
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A load of 500 kg was lifted through a distance of 13 cm. by an effort of 25 kg which moved through a distance of 650 cm. The efficiency of the lifting machine is
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The resultant of two forces P and Q is R. If Q is doubled, the new resultant is perpendicular to P. Then,
D. None of the above is correct
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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
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A force P of 50 N and another force Q of unknown magnitude act at 90° to each other. They are balanced by a force of 130 N. The magnitude of Q is
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If the tension in a cable supporting a lift moving upwards is twice the tension when the lift is moving downwards, the acceleration of the lift, is
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A sphere is resting on two planes BA and BC which are inclined at 45° and 60° respectively with the horizontal. The reaction on the plane BA will be
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On a ladder resting on a rough ground and leaning against a smooth vertical wall, the force of friction acts
A. Downwards at its upper end
B. Upwards at its upper end
C. Perpendicular to the wall at its upper end
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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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0.For maximum range of a projectile, the angle of projection should be
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The motion of a particle moving with S.H.M. from an extremity to the other, constitutes
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If the angle of projection is double the angle of inclination (α) of the plane on which particle is projected, the ratio of times of flight up the inclined plane and down the inclined plane, will be
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M.I. of solid sphere, is
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Power developed by a torque, is
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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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Three forces which act on a rigid body to keep it in equilibrium. The forces must be coplanar and
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The moment of inertia of a circular lamina of diameter d, about an axis perpendicular to the plane of the lamina and passing through its centre, is
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Two particles have been projected at angles 64° and 45° to the horizontal. If the velocity of projection of first is 10 m/sec, the velocity of projection of the other for equal horizontal ranges is
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Two balls of masses 3 kg and 6 kg are moving with velocities of 4 m/sec and 1 m/sec respectively, towards each other along the line of their centers. After impact the 3 kg ball comes to rest. This can happen only if the coefficient of restitution between the balls is
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The load shared by the member BC of the structure shown in below figure is