In the structure shown in below figure, the member which carries zero force, is
A. AB
B. BC
C. BE
D. All the above
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If two equal forces of magnitude P act at an angle θ , their resultant, will be
A. P cos 2 θ
B. 2 P sin 2 θ
C. P tan 2 θ
D. 2 P cos 2 θ
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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
A. At the start
B. At the top of the trajectory
C. As it strikes the ground
D. Elsewhere
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Varingon’s theorem of moment’s states
A. Arithmetical sum of the moments of two forces about any point, is equal to the moments of their resultant about that point
B. Algebraic sum of the moments of two forces about any point, is equal to the moment of their resultant about that point
C. Arithmetical sum of the moments of the forces about any point in their plane, is equal to the moment of their resultant about that point
D. Algebraic sum of the moments of the forces about any point in their plane, is equal to the moment of their resultant about that point
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The resultant of two forces acting at right angles is 5 kgf and if they act at an angle of 60°, it is 37 kgf. The magnitudes of the forces are:
A. 2 kgf, 3 kgf
B. 3 kgf, 4 kgf
C. 4 kgf, 5 kgf
D. 5 kgf, 3 kgf
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A particle is executing simple harmonic motion in a line 1.0 m long. If the time of one complete vibration is 1 sec, then the maximum velocity of the particle is
A. 1.00 m/sec
B. 1.57 m/sec
C. 3.14 m/sec
D. 6.28 m/sec
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If A is the amplitude of particle executing simple harmonic motion, then the total energy E of the particle is
A. Proportional to A
B. Proportional to A2
C. Proportional to A 2 1
D. Independent of A
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If A is the amplitude of particle executing simple harmonic motion, then the total energy E of the particle is
A. proportional to A
B. proportional to A2
C. proportional to A 2 1
D. independent of A
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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
A. Equation of dynamics
B. Equation of dynamic equilibrium
C. Equation of statics
D. None of these
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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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The angle which an inclined surface makes with the horizontal when a body placed on it is on the point of moving down, is called
A. Angle of repose
B. Angle of friction
C. Angle of inclination
D. None of these
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The resultant of two forces acting at right angles is
34 kg and acting at 60° is 70 kg. The forces are
A. 1 kg and 4 kg
B. 2 kg and 3 kg
C. D. 3 kg and 5 kg
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The moment of inertia of a circular lamina of diameter ‘d’, about an axis perpendicular to the plane of the lamina and passing through its centre, is
A. 12 π d 4
B. 16 π d 4
C. 24 π d 4
D. 32 π d 4
E. 36 π d 4
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A circular disc rotates at n rpm. The angular velocity of a circular ring of same mass and radius as the disc and to have the same angular momentum is
A. n rpm
B. 2 n rpm
C. 4 n rpm
D. 2n rpm
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Instantaneous center is at infinity when the angular velocity is
A. Constant
B. Zero
C. Maximum
D. Minimum
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A disc of mass 4 kg, radius 0.5 m and moment of inertia 3 kg.m2 rolls on a horizontal surface so that its center moves with speed 5 m/see. Kinetic energy of the disc is
A. 50 J
B. 150 J
C. 200 J
D. 400 J
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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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A simple pendulum of length L has an energy E when its amplitude is A. If its amplitude is increased to 2A, the energy becomes
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A simple pendulum of length L has an energy E, when its amplitude is A. If the length of pendulum is doubled, the energy will be
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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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