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4

The linear velocity of a body rotating at ω rad/s along a circular path of radius r is given by

A. ω/r

B. ω.r

C. ω2/r

D. ω2.r

Correct Answer :

B. ω.r


Related Questions

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4

The unit of force in S.I. units is

A. kilogram

B. Newton

C. Watt

D. Dyne

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4

The efficiency of a screw jack is maximum, when (where α = Helix angle, and φ = Angle of friction.)

A. α = 45° + φ/2

B. α = 45° - φ/2

C. α = 90° + φ

D. α = 90° - φ

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4

Which is the correct statement about law of polygon of forces?

A. If any number of forces acting at a point can be represented by the sides of a polygon taken in order, then the forces are in equilibrium

B. If any number of forces acting at a point can be represented in direction and magnitude by the sides of a polygon, then the forces are in equilibrium

C. If a polygon representing forces acting at a point is closed then forces are in equilibrium

D. If any number of forces acting at a point can be represented in direction and magnitude by the sides of a polygon taken in order, then the forces are in equilibrium

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4

Coefficient of friction is the

A. Angle between normal reaction and the resultant of normal reaction and the limiting friction

B. Ratio of limiting friction and normal reaction

C. The friction force acting when the body is just about to move

D. The friction force acting when the body is in motion

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4

The force induced in the string AB due to the load W, as shown in the below figure is

A. W sinθ

B. W cosθ

C. W secθ

D. W cosecθ

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4

In ideal machines

A. Mechanical advantage is greater than velocity ratio

B. Mechanical advantage is equal to velocity ratio

C. Mechanical advantage is less than velocity ratio

D. Mechanical advantage is unity

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4

The velocity ratio of a single purchase crab winch can be increased by

A. Increasing the length of the handle

B. Increasing the radius of the load drum

C. Increasing the number of teeth of the pinion

D. All of the above

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4

Center of percussion is

A. The point of C.G.

B. The point of metacenter

C. The point of application of the resultant of all the forces tending to cause a body to rotate about a certain axis

D. Point of suspension

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4

The possible loading in various members of framed structures are

A. Compression or tension

B. Buckling or shear

C. Shear or tension

D. All of the above

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4

The moment of the force P about O as shown in the below figure is

A. P × OA

B. P × OB

C. P × OC

D. P × AC

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4

One joule means that

A. Work is done by a force of 1 N when it displaces a body through 1 m

B. Work is done by a force of 1 kg when it displaces a body through 1 m

C. Work is done by a force of 1 dyne when it displaces a body through 1 cm

D. Work is done by a force of 1 g when it displaces a body through 1 cm

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4

In a single threaded worm and worm wheel, the number of teeth on the worm is 50. The diameter of the effort wheel is 100 mm and that of load drum is 50 mm. The velocity ratio is

A. 50

B. 100

C. 200

D. 400

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4

According to Newton's first law of motion,

A. Everybody continues in its state of rest or of uniform motion, in a straight line, unless it is acted upon by some external force

B. The rate of change of momentum is directly proportional to the impressed force, and takes place in the same direction, in which the force acts

C. To every action, there is always an equal and opposite reaction

D. None of the above

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4

The frequency of oscillation of a compound pendulum is (where kG = Radius of gyration about the centroidal axis, and h = Distance between the point of suspension and C.G. of the body.)

A. 2π. √(gh/kG² + h²)

B. 2π. √(kG² + h²/gh)

C. 1/2π. √(gh/kG² + h²)

D. 1/2π. √(kG² + h²/gh)

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4

A particle moves along a straight line such that distance (x) traversed in t seconds is given by x = t² (t - 4), the acceleration of the particle will be given by the equation

A. 6t² - 8t

B. 3t² + 2t

C. 6f - 8

D. 6f - 4

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4

A pair of smith's tongs is an example of the lever of

A. Zeroth order

B. First order

C. Second order

D. Third order

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4

The equivalent length of a simple pendulum which gives the same frequency as compound pendulum is

A. h/(kG² + h²)

B. (kG² + h²)/h

C. h²/(kG² + h²)

D. (kG² + h²)/h²

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4

The periodic time of a particle with simple harmonic motion is __________ proportional to the angular velocity.

A. Directly

B. Inversely

C. Square root

D. None of these

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4

Lami's theorem states that

A. Three forces acting at a point will be in equilibrium

B. Three forces acting at a point can be represented by a triangle, each side being proportional to force

C. If three forces acting upon a particle are represented in magnitude and direction by the sides of a triangle, taken in order, they will be in equilibrium

D. If three forces acting at a point are in equilibrium, each force is proportional to the sine of the angle between the other two

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4

Whenever a force acts on a body and the body undergoes a displacement, then

A. Work is said to be done

B. Power is being transmitted

C. Body has kinetic energy of translation

D. None of these

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4

Least force required to draw a body up the inclined plane is W sin (plane inclination + friction angle) applied in the direction

A. Along the plane

B. Horizontally

C. Vertically

D. At an angle equal to the angle of friction to the inclined plane

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4

Concurrent forces are those forces whose lines of action

A. Lie on the same line

B. Meet at one point

C. Meet on the same plane

D. None of these

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4

The maximum efficiency of a screw jack is

A. (1 - sinφ)/(1 + sinφ)

B. (1 + sinφ)/(1 - sinφ)

C. (1 - tanφ)/(1 + tanφ)

D. (1 + tanφ)/(1 - tanφ)

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4

The velocity ratio of a first system of pulleys with 4 pulleys is

A. 4

B. 8

C. 16

D. 20

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4

Which of the following is not a vector quantity?

A. Weight

B. Velocity

C. Acceleration

D. Force

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4

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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4

The total energy possessed by a system of moving bodies

A. Is constant at every instant

B. Varies from point to point

C. Is maximum in the start and minimum at the end

D. Is minimum in the start and maximum at the end

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4

The resultant of two forces P and Q acting at an angle θ is

A. √(P² + Q² + 2PQ sinθ)

B. √(P² + Q² + 2PQ cosθ)

C. √(P² + Q² - 2PQ cosθ)

D. √(P² + Q² - 2PQ tanθ)

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4

Which of the following is a scalar quantity?

A. Force

B. Speed

C. Velocity

D. Acceleration

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4

The moment of inertia of a rectangular section 3 cm wide and 4 cm deep about X-X axis is

A. 9 cm4

B. 12 cm4

C. 16 cm4

D. 20 cm4