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4

If a particle moves with a uniform angular velocity ω radians/sec along the circumference of a circle of radius r, the equation for the velocity of the particle, is

A. v = ω √(y² - r²)

B. y = ω √(y - r)

C. v = ω √(r² + y²)

D. v = ω √(r² - y²)

Correct Answer :

D. v = ω √(r² - y²)


Related Questions

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4

In SI units, the units of force and energy are respectively

A. Newton and watt

B. Dyne and erg

C. Newton and joule

D. kg wt and joule

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4

The height at which the end of a rope of length l should be tied so that a man pulling at the other end may have the greatest tendency to overturn the pillar, is

A. ¾ l

B. ½ l

C. l/√2

D. 2/√3 l

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4

If a body moves in such a way that its velocity increases by equal amount in equal intervals of time, it is said to be moving with

A. A uniform retardation

B. A uniform acceleration

C. A variable acceleration

D. A variable retardation

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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

The angular speed of a car while taking a circular turn of radius 100 m at 36 km/hour, is

A. 0.1 radian/sec

B. 1 radian/sec

C. 100 radian/sec

D. 1000 radian/sec

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4

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

A. E

B. E/2

C. 2E

D. 4E

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4

A light rope is loaded with many equal weights at equal horizontal intervals. The points of suspension on the rope lie on a

A. Parabola

B. Catenary

C. Cycloid

D. Ellipse

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4

A retarding force on a body does not

A. Change the motion of the body

B. Retard the motion of the body

C. Introduce the motion of the body

D. None of these

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4

A projectile is fired at an angle θ to the vertical. Its horizontal range will be maximum when θ is

A.

B. 30°

C. 45°

D. 90°

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4

Two forces act an angle of 120°. If the greater force is 50 kg and their resultant is perpendicular to the smaller force, the smaller force is

A. 20 kg

B. 25 kg

C. 30 kg

D. 35 kg

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4

The centre of gravity of a homogenous body is the point at which the whole

A. Volume of the body is assumed to be concentrated

B. Area of the surface of the body is assumed to be concentrated

C. Weight of the body is assumed to be concentrated

D. All the above

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4

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. √3 kg and √5 kg

D. 3 kg and 5 kg

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4

The C.G. of the shaded area of the below figure whose curve OM is a parabola from y-axis, is

A. a/4

B. 3a/4

C. 3b/10

D. 3a/10

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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

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

If the radius of the earth is 600 km the height of a mountain above sea level at the top of which a beat seconds pendulum at sea level, looses 27 seconds a day, is

A. 500 metres

B. 1000 metres

C. 1500 metres

D. 2000 metres

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4

The unit of Moment of Inertia of a body, is

A. m

B. m2

C. m3

D. m4

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4

A pilot flies a small plane in a vertical loop of radius r. At the top of its trajectory he experiences weightlessness. If the acceleration due to gravity is g, the speed of the plane at the top of its trajectory would be

A. Zero

B. Infinite

C. gr

D. 2gr

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4

The motion of a particle is described by the relation x = t2- 10t + 30, where x is in metres and t in seconds. The total distance travelled by the particle from t = 0 to t = 10 seconds would be

A. Zero

B. 30 m

C. 50 m

D. 60 m

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4

A force P of 50 N and another force Q of unknown magnitude act at 90° to each other. They are balanced by a force of 130 N. The magnitude of Q is

A. 60 N

B. 80 N

C. 100 N

D. 120 N

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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

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 vehicle weighing w kg is to run on a circular curve of radius r. If the height of its centre of gravity above the road level is h and the distance between the centres of wheels is 2a, the maximum velocity, in order to avoid over turning, will be

A. gra/h

B. √(gra/h)

C. 3√(gra/h)

D. 4√(gra/h)

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4

The ratio of kinetic energy and potential energy of a simple harmonic oscillator, at a displacement equal to half its amplitude is given by

A. 1 : 2

B. 1 : 1

C. 2 : 1

D. 3 : 1

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4

For a self-locking machine, the efficiency should be

A. Less than 60%

B. 50 %

C. More than 50%

D. None of these

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4

The graphical method of determining the forces in the members of a truss is based on

A. Method of joint

B. Method of section

C. Either method

D. None of the two methods

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4

A square hole is made in a circular lamina, the diagonal of the square is equal to the radius of the circle as shown in below figure the shift in the centre of gravity is

A. r (π - 0.75)/(π - 0.5)

B. r (π - 0.25)/(π - 0.75)

C. r (π - 0.5)/(π - 0.75)

D. r (π - 0.5)/(π - 0.25)

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4

Work may be defined as

A. Force × distance

B. Force × velocity

C. Force × acceleration

D. None of these

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4

When a body in equilibrium undergoes an infinitely small displacement, work imagined to be done, is known as

A. Imaginary work

B. Negative work

C. Virtual work

D. None of these

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4

The load shared by the member BC of the structure shown in below figure is

A. 23 t

B. 32 t

C. 4 t

D. 3 t