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A shell travelling with a horizontal velocity of 100 m/sec explodes and splits into two parts, one of mass 10 kg and the other of 15 kg. The 15 kg mass drops vertically downward with initial velocity of 100 m/sec and the 10 kg mass begins to travel at an angle to the horizontal of tan1 x, where x is
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4
A simple pendulum of length 1 has an energy E when its amplitude is A. If its amplitude is increased to 2 A, the energy becomes
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Free body diagram is an
A. Isolated joint with only body forces acting on it
B. Isolated joint with internal forces acting on it
C. Isolated joint with all the forces, internal as well as external, acting on it
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If the resultant of two forces P and Q acting at an angle θ makes an angle α with P, then tan α equals
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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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The total time of collision and restitution of two bodies, is called
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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 mechanical advantage of the lifting machine is
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A particle executes a simple harmonic motion. While passing through the mean position, the particle possesses
A. Maximum kinetic energy and minimum potential energy
B. Maximum kinetic energy and maximum potential energy
C. Minimum kinetic energy and maximum potential energy
D. Minimum kinetic, energy and minimum potential energy
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For a self-locking machine, the efficiency should be
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μ is coefficient of friction. A wheeled vehicle travelling on a circular level track will slip and overturn simultaneously if the ratio of its wheel distance to the height of its centroid, 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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In case of S.H.M. the period of oscillation (T), is given by
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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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A bullet weighing 10 gm moves with a velocity of l km/sec. Its kinetic energy is (i) 5000 Nm (ii) 5000 kg.m (iii) 5000 J The correct answer is
D. All (i), (ii) and (iii)
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The unit of rotational inertia of a body in C.G.S system is
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The intrinsic equation of catenary 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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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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Coefficient of friction depends on
A. Nature of surfaces only
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One half of a vibration of a body, is called
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A uniform rod 9 m long weighing 40 kg is pivoted at a point 2 m from one end where a weight of 120 kg is suspended. The required force acting at the end in a direction perpendicular to rod to keep it equilibrium, at an inclination 60° with horizontal, is
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A cable loaded with 0.5 tonne per horizontal metre span is stretched between supports in the same horizontal line 400 m apart. If central dip is 20 m, the minimum tension in the cable, will be
A. 200 tonnes at the centre
B. 500 tonnes at the centre
C. 200 tonnes at the right support
D. 200 tonnes at the left support
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If α and u are the angle of projection and initial velocity of a projectile respectively, the horizontal range of the projectile, is
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The frequency of oscillation on moon as compared to that on earth, will be
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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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The angles between two forces to make their resultant a minimum and a maximum respectively are
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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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A ball moving with a velocity of 5 m/sec impinges a fixed plane at an angle of 45° and its direction after impact is equally inclined to the line of impact. If the coefficient of restitution is 0.5, the velocity of the ball after impact will be
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Total no of instantaneous centres of a machine having n links, is
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Instantaneous center is at infinity when the angular velocity is