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The numbers of funicular polygons which can be drawn to pass through two specified points in the space diagram are
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From a circular plate of a diameter 6 cm is cut out a circle whose diameter is equal to the radius of the plate. The C.G. of the remainder from the centre of circular plate is at a distance of
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4
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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The locus of the instantaneous centre of a moving rigid body, is
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The masses of two balls are in the ratio of 2 : 1 and their respective velocities are in the ratio of 1 : 2 but in opposite direction before impact. If the coefficient of restitution is ½, the velocities of separation of the balls will be equal to
A. Original velocity in the same direction
B. Half the original velocity in the same direction
C. Half the original velocity in the opposite direction
D. Original velocity in the opposite direction
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4
If a body is lying on a plane whose inclination with the horizontal is less than the angle of friction, then? (i) A force is required to move the body upwards (ii) A force is required to move the body downward (iii) The body will not be in equilibrium The correct answer is
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If a projectile is fired with an initial velocity of 10 m/sec at an angle of 60° to the horizontal, its horizontal and vertical velocity at the highest point of trajectory are
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At the instantaneous center, the velocity of the moving lamina at any instant is
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The maximum value of the horizontal range for a projectile projected with a velocity of 98 m/sec is
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A retarding force on a body does not
A. Change the motion of the body
B. Retard the motion of the body
C. Introduce the motion of the body
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A ball which is thrown upwards, returns to the ground describing a parabolic path during its flight
A. Vertical component of velocity remains constant
B. Horizontal component of velocity remains constant
C. Speed of the ball remains constant
D. Kinetic energy of the ball remains constant
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4
The C.G. of a hemisphere from its base measured along the vertical radius is at a distance of
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Pick up the incorrect statement from the following. In a simple harmonic motion
A. Velocity is maximum at its mean position
B. Velocity is minimum at the end of the stroke
C. Acceleration is minimum at the end of the stroke
D. Acceleration is zero at the mean position
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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 velocity ratio of the lifting machine 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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The necessary condition of equilibrium of a body is:
A. Algebraic sum of horizontal components of all the forces must be zero
B. Algebraic sum of vertical components of all the forces must be zero
C. Algebraic sum of the moments of the forces about a point must be zero
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4
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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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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For a simple pendulum, the period of one oscillation is
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Impulse can be obtained from a
A. Force-displacement diagram
D. Velocity-displacement diagram
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The force acting on a point on the surface of a rigid body may be considered to act
A. At the centre of gravity of the body
B. On the periphery of the body
C. On any point on the line of action of the force
D. At any point on the surface normal to the line of action of the force
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For lifting a load of 50 kg through a distance of 2.5 cm, an effort of 12.5 kg is moved through a distance of 40 cm. The efficiency of the lifting machine, is
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A Seconds pendulum executes
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The centre of gravity of a trapezoidal dam section whose top width is a, bottom width is band the vertical side is a, from its vertical face is
A. (a² + ab + b²)/3 (a + b)
B. (b² + bc + c²)/3 (b + c)
C. (a² + ab + c²)/3 (a + c)
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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 member which does not carry zero force in the structure shown in below figure, is
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Angular acceleration of a particle may be expressed as
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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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If two forces of 3 kg and 4 kg act at right angles to each other, their resultant force will be equal to
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Energy may be defined as
B. Capacity of doing work