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A projectile is fired with a velocity of 100.3 m/sec. at an elevation of 60°. The velocity attained by the projectile when it is moving at a height of 100 m, is
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The load shared by the member BC of the structure shown in below figure is
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The C.G. of a thin hollow cone of height h, above its base lies on the axis, at a height of
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A rod AB carries three loads of 30 N, 70 N and 100 N at distances of 20 mm, 90 mm and 150 mm respectively from A. Neglecting the weight of the rod, the point at which the rod will balance is
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The reaction at the support D of the continuous beam ABCD, hinged at two points shown in below figure is
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Pick up the correct statement from the following:
A. Nature plays an important role in the launch of a satellite
B. The earth's gravity reduces the speed of a satellite by 32 km per second
C. The gravitational force relents as the satellite climbs higher
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The C.G. of the shaded area of the below figure whose curve OM is a parabola from y-axis, is
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The maximum velocity of a body vibrating with a simple harmonic motion of amplitude 150 mm and frequency 2 vibrations/sec, is
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The centre of gravity of a quadrant of a circle lies along its central radius at a distance of
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For a simple pendulum, the period of one oscillation is
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On a mass m describing a circular path of radius r, the centrifugal force
A. Acts tangentially to the circular path
B. Acts towards the centre of rotation
C. Acts away from the centre of rotation
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A particle is dropped from the top of a tower 60 m high and another is projected upwards from the foot of the tower to meet the first particle at a height of 15.9 m. The velocity of projection of the second particle is
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The C.G. of the shaded area of the below figure from the x-axis is
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The centre of gravity of a homogenous body is the point at which the whole
A. Volume of the body is assumed to be concentrated
B. Area of the surface of the body is assumed to be concentrated
C. Weight of the body is assumed to be concentrated
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A 50 kg boy climbs up a 8 m rope in gymnasium in 10 sec. The average power developed by the boy is approximately
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An ordinate in a funicular polygon represents
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The maximum displacement of a particle executing S.H.M. corresponds to
A. Zero potential energy and maximum kinetic energy
B. Zero kinetic energy and maximum potential energy
C. Maximum kinetic energy and maximum potential energy
D. Minimum kinetic energy and minimum potential energy
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The potential energy of a particle falling through a straight shaft drilled through the earth (assumed homogenous and spherical) is proportional to
D. 1/r Where r is the distance of the particle from centre of the earth
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Two objects moving with uniform speeds are 5 m apart after 1 second when they move towards each other and are 1 m apart when they move in the same direction. The speeds of the objects are
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The height at which the end of a rope of length l should be tied so that a man pulling at the other end may have the greatest tendency to overturn the pillar, is
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If a set of given forces are such that their free vectors build a closed polygon, then
A. The resultant force and resultant couple are always zero
B. The resultant force is zero but resultant couple is not zero
C. The resultant force is zero but resultant couple may not be zero
D. The resultant force and resultant couple both may not be zero
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A funicular polygon cannot be made to pass through
C. Three specified points
D. More than three specified points
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Total no of instantaneous centres of a machine having n links, is
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In a lifting machine with efficiency 60%, an effort of 200 N is required to raise a load of 6 kN. The velocity ratio of the machine is
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The forces which meet at one point and have their lines of action in different planes are called
A. Coplanar non-concurrent forces
B. Non-coplanar concurrent forces
C. Non-coplanar non-current forces
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When a body in equilibrium undergoes an infinitely small displacement, work imagined to be done, is known as
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A point subjected to a number of forces will be in equilibrium, if
A. Sum of resolved parts in any two directions at right angles, are both zero
B. Algebraic sum of the forces is zero
C. Two resolved parts in any two directions at right angles are equal
D. Algebraic sum of the moments of the forces about the point is zero
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The angle of projection at which the horizontal range and maximum height of a projectile are equal to
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Engineer's units of force, is
A. Newton in absolute units
B. Dyne in absolute units
C. Newton and dyne in absolute units
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A smooth cylinder lying on its convex surface remains
B. In unstable equilibrium
C. In neutral equilibrium