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4

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

A. 4.5 J

B. 9.0 J

C. 12.0 J

D. 18.0 J

Correct Answer :

B. 9.0 J


Related Questions

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4

If the tension in a cable supporting a lift moving upwards is twice the tension when the lift is moving downwards, the acceleration of the lift, is

A. g/2

B. g/3

C. g/4

D. g/5

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4

If g1 and g2 are the gravitational accelerations on two mountains A and B respectively, the weight of a body when transported from A to B will be multiplied by

A. g1

B. g2

C. g1/g2

D. g2/g1

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4

Energy may be defined as

A. Power of doing work

B. Capacity of doing work

C. Rate of doing work

D. All the above

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4

A ball moving on a smooth horizontal table hits a rough vertical wall, the coefficient of restitution between ball and wall being 1/3. The ball rebounds at the same angle. The fraction of its kinetic energy lost is

A. 1/3

B. 2/3

C. 1/9

D. 8/9

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4

The ratio of the speed of a rolling cylinder to the speed of sliding cylinder is

A. Less than 1

B. Equal to 1

C. Between 1 and 2

D. Greater than 2

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4

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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4

In a lifting machine with efficiency 60%, an effort of 200 N is required to raise a load of 6 kN. The velocity ratio of the machine is

A. 30

B. 50

C. 60

D. 80

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4

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

A. 30°

B. 45°

C. 60°

D. 90°

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4

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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4

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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4

The vertical reaction at the support A of the structure shown in below figure, is

A. 1 t

B. 2 t

C. 3 t

D. 3.5 t

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In a simple harmonic motion, the position of equilibrium is always

A. Stable

B. Unstable

C. Neutral

D. None of the above

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4

Minimum potential energy of a system will be in the position of

A. Stable equilibrium

B. Unstable equilibrium

C. Neutral equilibrium

D. All of the above

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4

The shape of a suspended cable for a uniformly distributed load over it is

A. Circular

B. Parabolic

C. Catenary

D. Cubic parabola

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4

A Second's pendulum gains 2 minutes a day. To make it to keep correct time its length

A. Must be decreased

B. Must be increased

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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4

The member forces in a statically in determinate truss

A. Can be obtained by graphic statics

B. Cannot be obtained by graphic statics

C. May be obtained by graphic statics

D. Can be obtained by graphic statics by trial and error

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4

A body is said to move with Simple Harmonic Motion if its acceleration, is

A. Always directed away from the centre, the point of reference

B. Proportional to the square of the distance from the point of reference

C. Proportional to the distance from the point of reference and directed towards it

D. Inversely proportion to the distance from the point of reference

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4

The units of moment of inertia of an area are

A. kg/m

B. kg/m2

C. m4

D. m3

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4

Periodic time of a particle moving with simple harmonic motion is the time taken by the particle for

A. Half oscillation

B. Quarter oscillation

C. Complete oscillation

D. None of these

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4

If the direction of projection bisects the angle between the vertical and the inclined plane, then the range of projectile on the inclined plane is

A. Zero

B. Maximum

C. Minimum

D. None of these

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4

The centre of gravity of a plane lamina will not be at its geometrical centre if it is a

A. Circle

B. Equilateral triangle

C. Rectangle

D. Right angled triangle

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4

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

A. E

B. E/2

C. 2E

D. 4E

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4

The condition for a lifting machine to be reversible is that its efficiency should be

A. Less than 50%

B. More than 50%

C. More than 66.67%

D. Equal to 100%

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4

M.I. of solid sphere, is

A. Mr2

B. ½ Mr2

C. Mr2

D. πr4/2

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4

In which of the following trusses, the method of substitution is required for determining the forces in all the members of the truss by graphic statics?

A. Howe truss

B. King post truss

C. Fink truss

D. Warren truss

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4

μ is coefficient of friction. A wheeled vehicle travelling on a circular level track will slip and overturn simultaneously if the ratio of its wheel distance to the height of its centroid, is

A. μ

B.

C.

D. ½μ

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4

Power can be expressed as

A. Work/energy

B. Work/time

C. Work × time

D. Work/distance

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4

A uniform pyramid and a uniform prism of same height lie with their base on the surface. Which is more stable?

A. Pyramid

B. Prism

C. Both equally stable

D. None of the above

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4

When a circular wheel rolls on a straight track, then the shape of body centrode and space centrode respectively are

A. Straight line and parabola

B. Straight line and circle

C. Circle and straight line

D. Circle and parabola

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4

If two forces acting at a point are in equilibrium, they must be equal in magnitude and their line of action must be along

A. The same line in the same sense

B. The same line in opposite sense

C. The perpendicular to both the lines

D. None of these