The maximum acceleration of a particle moving with simple harmonic motion is
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A semicircular disc rests on a horizontal surface with its top flat surface horizontal and circular portion touching down. The coefficient of friction between semi circular disc and horizontal surface is µ. This disc is to be pulled by a horizontal force applied at one edge and it always remains horizontal. When the disc is about to start moving, its top horizontal force will
A. Remain horizontal
B. Slant up towards direction of pull
C. Slant down towards direction of pull
D. None of the above
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When a person, on a bicycle, drives round a curve, he has to lean __________ to maintain equilibrium.
A. Inward
B. Outward
C. Towards front
D. Towards back
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Varingon's theorem of moments states that if a number of coplanar forces acting on a particle are in equilibrium, then
A. Their algebraic sum is zero
B. Their lines of action are at equal distances
C. The algebraic sum of their moments about any point in their plane is zero
D. The algebraic sum of their moments about any point is equal to the moment of their resultant force about the same point
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According to the law of moments, if a number of coplanar forces acting on a particle are in equilibrium, then
A. Their algebraic sum is zero
B. Their lines of action are at equal distances
C. The algebraic sum of their moments about any point in their plane is zero
D. The algebraic sum of their moments about any point is equal to the moment of their resultant force about the same point
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The necessary condition for forces to be in equilibrium is that these should be
A. Coplanar
B. Meet at one point
C. Both (A) and (B) above
D. All be equal
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The acceleration of a particle moving with simple harmonic motion is __________ at the mean position.
A. Zero
B. Minimum
C. Maximum
D. None of these
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The motion of a particle round a fixed axis is
A. Translatory
B. Rotary
C. Circular
D. Translatory as well as rotary
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If the resultant of two equal forces has the same magnitude as either of the forces, then the angle between the two forces is
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Moment of inertia of a hollow rectangular section as shown in the below figure about X-X axis, is
A. 12 B D 3 − 12 b d 3
B. 12 D B 3 − 12 d b 3
C. 36 B D 3 − 36 b d 3
D. 36 D B 3 − 36 d b 3
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If a rigid body is in equilibrium under the action of three forces, then
A. These forces are equal
B. The lines of action of these forces meet in a point
C. The lines of action of these forces are parallel
D. Both (B) and (C) above
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If a number of forces act simultaneously on a particle, it is possible
A. Not a replace them by a single force
B. To replace them by a single force
C. To replace them by a single force through C.G.
D. To replace them by a couple
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A rubber ball is dropped from a height of 2 m. If there is no loss of velocity after rebounding, the ball will rise to a height of
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The centre of percussion of the homogeneous rod of length ‘L’ suspended at the top will be
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The units of moment of inertia of mass are
A. kg-m2
B. m2 /kg
C. kg/m2
D. kg/m
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Mass moment of inertia of a uniform thin rod of mass (M) and length (l ) about its mid-point and perpendicular to its length is
A. 3 2 M l 2
B. 3 1 M l 2
C. 4 3 M l 2
D. 12 1 M l 2
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Forces are called concurrent when their lines of action meet in
A. One point
B. Two points
C. Plane
D. Perpendicular planes
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The forces, which meet at one point and their lines of action also lie on the same plane, are known as
A. Coplanar concurrent forces
B. Coplanar non-concurrent forces
C. Non-coplanar concurrent forces
D. Non-coplanar non-concurrent forces
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If u1 and u2 are the velocities of two moving bodies in the same direction before impact and v1 and v2 are their velocities after impact, then coefficient of restitution is given by
A. u 1 − u 2 v 1 − v 2
B. u 1 − u 2 v 2 − v 1
C. v 1 − v 2 u 1 − u 2
D. v 2 + v 1 u 2 + u 1
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A body of mass ‘m’ moving with a constant velocity ‘v’ strikes another body of same mass moving with same velocity but in opposite direction. The common velocity of both the bodies after collision is
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