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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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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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4
A projectile is fired at an angle θ to the vertical. Its horizontal range will be maximum when θ is
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4
In simple harmonic motion, acceleration of a particle is proportional to
A. Rate of change of velocity
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4
The unit of Moment of Inertia of a body, is
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4
The following is not a law of static friction:
A. The force of friction always acts in a direction opposite to that in which the body tends to move
B. The force of friction is dependent upon the area of contact
C. The force of friction depends upon the roughness of the surface
D. The magnitude of the limiting friction bears a constant ratio to the normal reaction between two surfaces
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4
The apparent weight of a man in a moving lift is less than his real weight when it is going down with
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The reaction at the central support B of the beam ABC hinged at D shown in below figure is
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Ball A of mass 250 g moving on a smooth horizontal table with a velocity of 10 m/s hits an identical stationary ball B on the table. If the impact is perfectly elastic, the velocity of the ball B just after impact would be
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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 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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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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Impulse can be obtained from a
A. Force-displacement diagram
D. Velocity-displacement diagram
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Instantaneous center is at infinity when the angular velocity 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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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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When a body falls freely under gravitational force, it possesses
D. No effect on its weight
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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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The rate of change of displacement of a body with respect to its surrounding, is known
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A heavy ladder resting on floor and against a vertical wall may not be in equilibrium if
A. Floor is smooth and wall is rough
B. Floor is rough and wall is smooth
C. Both floor and wall are rough
D. Both floor and wall are smooth
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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 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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When a body of mass M1 is hanging freely and another of mass M2 lying on a smooth inclined plane(α) are connected by a light index tensile string passing over a smooth pulley, the acceleration of the body of mass M1, will be given by
A. g(M1 + M2 sin α)/(M1 + M2) m/sec
B. g(M1 - M2 sin α)/(M1 + M2) m/sec²
C. g(M2 + M1 sin α)/(M1 + M2) m/sec²
D. g(M2 × M1 sin α)/(M2 - M1) m/sec²
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Effect of a force on a body depends upon its
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When a circular wheel rolls on a straight track, then the shape of body centrode and space centrode respectively are
A. Straight line and parabola
B. Straight line and circle
C. Circle and straight line
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A light rope is loaded with many equal weights at equal horizontal intervals. The points of suspension on the rope lie on a
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The piston of a steam engine moves with a simple harmonic motion. The crank rotates 120 r.p.m. and the stroke length is 2 metres. The linear velocity of the piston when it is at a distance of 0.5 metre from the centre, is
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The total time of collision and restitution of two bodies, is called
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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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From the circular plate of a diameter 6 cm is cut out a circular plate whose diameter is equal to radius of the plate. The C.G. of the remainder shifts from the original position through