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The force which produces an acceleration of 1 m/sec2 in a mass of one kg, is called
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If the kinetic energy and potential energy of a simple harmonic oscillator of amplitude A are both equal to half the total energy, then the displacement is equal to
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0.For maximum range of a projectile, the angle of projection should be
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Power developed by a torque, is
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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
On a mass m describing a circular path of radius r, the centrifugal force
A. Acts tangentially to the circular path
B. Acts towards the centre of rotation
C. Acts away from the centre of rotation
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A Second's pendulum gains 2 minutes a day. To make it to keep correct time its length
C. Is not changed but weight of the bob is increased
D. Is not changed but weight of the bob is decreased
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Engineer's units of force, is
A. Newton in absolute units
B. Dyne in absolute units
C. Newton and dyne in absolute units
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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 C.G. of the shaded area of the below figure from the x-axis is
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One Newton is equivalent to
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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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The acceleration of a train starting from rest at any instant is 1/6(V + 1) m/sec² where V is the velocity of the train in m/sec. The train will attain a velocity of 36 km/hour after travelling a distance of
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A block of weight 50 kg is placed on a horizontal plane. When a horizontal force of 18 kg is applied, the block is just on the point of motion. The angle of friction is
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Two particles have been projected at angles 64° and 45° to the horizontal. If the velocity of projection of first is 10 m/sec, the velocity of projection of the other for equal horizontal ranges is
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If the angle between the applied force and the direction of motion of a body, is between 90° and 180°, the work done, is called
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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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Time of flight of a projectile on a horizontal plane, is
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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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The C.G. of a right circular cone lies on its axis of symmetry at a height of
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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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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 units of moment of inertia of an area are
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The length of a Second's pendulum, 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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If v and ω are linear and angular velocities, the centripetal acceleration of a moving body along the circular path of radius r, will be
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ω rad/sec is the angular velocity of a crank whose radius is r. If it makes θ° with inner dead centre and obliquity of the connecting rod l is , the velocity v of the piston, is given by the equation
A. ω2 (l cos + r sin tan θ)
B. ω2 (l sin + r cos φ tan θ)
C. ω (l sin + r cos tan θ)
D. ω2 (l sin - r cos θ tan )
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Work may be defined as
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The direction of projection should bisect the angle between the inclined plane and the vertical for a range of a projectile on inclined plane
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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