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4
The centre of gravity of the trapezium as shown in below figure from the side is at a distance of
A. (h/3) × [(b + 2a)/(b + a)]
B. (h/3) × [(2b + a)/(b + a)]
C. (h/2) × [(b + 2a)/(b + a)]
D. (h/2) × [(2b + a)/(b + a)]
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4
At a given instant ship A is travelling at 6 km/h due east and ship B is travelling at 8 km/h due north. The velocity of B relative to A is
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4
According to Law of Triangle of Forces
A. Three forces acting at a point, can be rep-resented by the sides of a triangle, each side being in proportion to the force
B. Three forces acting along the sides of a triangle are always in equilibrium
C. If three forces acting on a, point can be represented in magnitude and direction, by the sides of a triangle taken in order, these will be in equilibrium
D. If the forces acting on a particle be represented in magnitude and direction by the two sides of a triangle taken in order, their resultant will be represented in magnitude and direction by the third side of the triangle, taken in opposite order
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Cartesian form of the equation of catenary is
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Force polygon method is applicable for
A. Any coplanar force system
B. A system of parallel forces only
C. Concurrent coplanar force system
D. Non-concurrent coplanar force system
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The force polygon representing a set of forces in equilibrium is a
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The angles between two forces to make their resultant a minimum and a maximum respectively are
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A rigid body suspended vertically at a point and oscillating with a small amplitude under the action of the force of gravity, is called
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The velocity of a moving body, is
C. A scalar as well as a vector quantity
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If the radius of the earth is 600 km the height of a mountain above sea level at the top of which a beat seconds pendulum at sea level, looses 27 seconds a day, is
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A rigid body is in a stable equilibrium if the application of any force
A. Can raise the CG of the body but cannot lower it
B. Tends to lower the CG of the body
C. Neither raises nor lowers the CG of the body
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The units of inertia of mass are
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If two forces P and Q (P > Q) act on the same straight line but in opposite direction, their resultant, is
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The product of mass and velocity of a moving a body, is called
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For a simple pendulum, time period for a beat, is
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A body is said to move with Simple Harmonic Motion if its acceleration, is
A. Always directed away from the centre, the point of reference
B. Proportional to the square of the distance from the point of reference
C. Proportional to the distance from the point of reference and directed towards it
D. Inversely proportion to the distance from the point of reference
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For perfectly elastic bodies, the value of coefficient of restitution is
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In a simple screw jack, the pitch of the screw is 9 mm and length of the handle operating the screw is 45 cm. The velocity ratio of the system is
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The resultant of two forces acting at right angles is √34 kg and acting at 60° is 70 kg. The forces are
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Williot-Mohr diagram is used to determine deflection in
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The equation of motion of a particle starting from rest along a straight line is x = t3 - 3l2 + 5. The ratio of the velocities after 5 sec and 3 sec will be
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If the horizontal range is 2.5 times the greatest height, the angle of projection of the projectile, is
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Minimum potential energy of a system will be in the position of
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A body of weight 14 g appears to weight 13 g when weighed by a spring balance in a moving lift. The acceleration of the lift at that moment was
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Principle of Transmissibility of Forces states that, when a force acts upon a body, its effect is
A. Maximum if it acts at the centre of gravity of the body
B. Different at different points on its line of
C. Same at every point on its line of action
D. Minimum if it acts at the C.G. of the body
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If the angular distance, 0 = 2t3 - 3t², the angular acceleration at t = 1 sec. is
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A bullet weighing 200 g is fired horizontally with a velocity of 25 m/sec from a gun carried on a carriage which together with the gun weighs 100 kg. The velocity of recoil of the gun, will be
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If G is the Gauge of track, v is velocity of the moving vehicle, g is the acceleration due to gravity and r is the radius of a circular path, the required super elevation is
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M.I. of a thin ring (external diameter D, internal diameter d) about an axis perpendicular to the plane of the ring, is
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For a body moving with simple harmonic motion, the number of cycles per second, is known as its