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The following statement is one of the laws of Dynamic friction
A. The force of friction always acts in a direction opposite to that in which a body is moving
B. The magnitude of the kinetic friction bears a constant ratio to the normal reaction between two surfaces. The ratio being slightly less than that in the case of limiting friction
C. For moderate speeds the force of friction remains constant but decreases slightly with the increase of speed
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The load shared by the member BC of the structure shown in below figure is
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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 product of mass and velocity of a moving a body, is called
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The unit of rotational inertia of a body in C.G.S system is
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When a body moves round a fixed axis, it has
D. A rotary motion and translatory motion
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Minimum potential energy of a system will be in the position of
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The unit of Moment of Inertia of a body, is
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The vertical reaction at the support A of the structure shown in below figure, is
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A string of length 90 cm is fastened to two points A and B at the same level 60 cm apart. A ring weighing 120 g is slided on the string. A horizontal force P is applied to the ring such that it is in equilibrium vertically below B. The value of P is:
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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 mechanical advantage of an ideal machine is 100. For moving the local through 2 m, the effort moves through
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A number of forces acting simultaneously on a particle of a body
A. May not be replaced by a single force
B. May be replaced by a single force
C. May be replaced by a single force through C.G. of the body
D. May be replaced by a couple
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For a particle moving with a simple harmonic motion, the frequency is
A. Directly proportional to periodic time
B. Inversely proportional to periodic time
C. Inversely proportional to its angular velocity
D. Directly proportional to its angular velocity
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According to Kennedy's theorem, if three bodies have plane motions, their instantaneous centres lie on
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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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A particle of mass 2 kg executes simple harmonic motion of frequency 6/71 Hz and amplitude 0.25 m. Its maximum kinetic energy is
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Joule is the unit of
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The length of a Second's pendulum, is
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The unit of impulse, is
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If a body is acted upon by a number of coplanar non-concurrent forces, it may
A. Rotate about itself without moving
B. Move in any one direction
C. Move in any one direction rotating about itself
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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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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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The velocity ratio of an inclined plane of inclination θ with horizontal for lifting a load is
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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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Two balls of masses 3 kg and 6 kg are moving with velocities of 4 m/sec and 1 m/sec respectively, towards each other along the line of their centers. After impact the 3 kg ball comes to rest. This can happen only if the coefficient of restitution between the balls 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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If two forces are in equilibrium, then the forces must (i) Be equal in magnitude (ii) Be opposite in sense (iii) Act along the same line The correct answer is
D. All (i), (ii) and (iii)
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The instantaneous centre of a member lies at the point of intersection of two lines drawn at the ends of the member such that the lines are inclined to the direction of motion of the ends at
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The motion of a particle is described by the relation x = t2- 10t + 30, where x is in metres and t in seconds. The total distance travelled by the particle from t = 0 to t = 10 seconds would be