The equation of free vibrations of a system is d t 2 d 2 x + 36 π 2 x = 0 , its natural frequency is
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A rotor supported at A and B carries two masses as shown in the below figure. The rotor is
A. Dynamically balanced
B. Statically balanced
C. Statically and dynamically balanced
D. Not balanced
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According to Kennedy's theorem, if three bodies have plane motions, their instantaneous centers lie on
A. A triangle
B. A point
C. Two lines
D. A straight line
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The amplitude of vibration is always __________ the radius of the circle.
A. Equal to
B. Less than
C. Greater than
D. None of these
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The Bifilar suspension method is used to determine
A. Natural frequency of vibration
B. Position of balancing weights
C. Moment of inertia
D. Centripetal acceleration
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Under logarithmic decrement, the amplitude of successive vibrations are
A. Constant
B. In arithmetic progression
C. In geometric progression
D. In logarithmic progression
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At the nodal point in a shaft, the amplitude for torsional vibration will be
A. Minimum
B. Maximum
C. Zero
D. Infinity
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In a multiple V-belt drive, if one of the belts is broken, then we should replace
A. The broken belt only
B. All the belts
C. The broken belt and the belts on either side of it
D. None of the above
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The displacement of the reciprocating roller follower, when it has contact with the straight flanks of the tangent cam, is given by (where r1 = Minimum radius of the cam, r2 = Radius of the roller follower and θ = Angle turned by the cam from the beginning of the follower displacement)
A. ( r 1 − r 2 ) ( 1 − cos θ )
B. ( r 1 + r 2 ) ( 1 + cos θ )
C. ( r 1 − r 2 ) ( cos θ 1 − cos θ )
D. ( r 1 + r 2 ) ( cos θ 1 − cos θ )
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A flywheel is fitted to the crankshaft of an engine having W as the amount of indicated work per revolution and permissible limits of coefficient of fluctuation of energy and speed as CE and CS respectively. The kinetic energy of the flywheel is given by
A. C S 2 W C E
B. 2 C S W C E
C. C S W C E
D. 2 C E W C S
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With usual notations for different parameters involved, the maximum fluctuations of energy for a flywheel is given by
A. 2 E C S
B. 2 E C S
C. 2 EC S 2
D. 2 E 2 C S
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A body in motion will be subjected to Coriolis acceleration when that body is
A. In plane rotation with variable velocity
B. In plane translation with variable velocity
C. In plane motion which is a resultant of plane translation and rotation
D. Restrained to rotate while sliding over another body
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A cam with a roller follower would constitute following type of pair
A. Lower pair
B. Higher pair
C. Open pair
D. Close pair
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Rectangular bar in a rectangular hole is the following type of pair
A. Completely constrained motion
B. Partially constrained motion
C. Incompletely constrained motion
D. Freely constrained motion
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Shaft revolving in a bearing is the following type of pair
A. Lower pair
B. Higher pair
C. Spherical pair
D. Cylindrical pair
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In a differential band brake as shown in the below figure, if the length OB is greater than OA, then the force P at C should act in the downward direction.
A. Yes
B. No
C. Unpredictable
D. None of these
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Two systems shall be dynamically equivalent when
A. The mass of two are same
B. C.G. of two coincides
C. M.I. of two about an axis through e.g. is equal
D. All of the above
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When a shaking force is transmitted through the springs, damping becomes detrimental when the ratio of its frequency to the natural frequency is greater than
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When the particles of a body moves perpendicular to its axis, then the body is said to have
A. Longitudinal vibration
B. Transverse vibration
C. Torsional vibration
D. None of these
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When there is a reduction in amplitude over every cycle of vibration, then the body is said to have
A. Free vibration
B. Forced vibration
C. Damped vibration
D. Under damped vibration
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