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4

ω rad/sec is the angular velocity of a crank whose radius is r. If it makes θ° with inner dead centre and obliquity of the connecting rod l is , the velocity v of the piston, is given by the equation

A. ω2 (l cos + r sin tan θ)

B. ω2 (l sin + r cos φ tan θ)

C. ω (l sin + r cos tan θ)

D. ω2 (l sin - r cos θ tan )

Correct Answer :

C. ω (l sin + r cos tan θ)


Related Questions

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4

The numbers of funicular polygons which can be drawn to pass through two specified points in the space diagram are

A. Zero

B. 1

C. 2

D. Infinity

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4

Two loads of 50 kg and 75 kg are hung at the ends of a rope passing over a smooth pulley shown in below figure. The tension in the string is:

A. 50 kg

B. 75 kg

C. 25 kg

D. 60 kg

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4

A sphere is resting on two planes BA and BC which are inclined at 45° and 60° respectively with the horizontal. The reaction on the plane BA will be

A. Less than that on BC

B. More than that of BC

C. Equal to that on BC

D. None of these

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4

If a projectile is fired with an initial velocity of 10 m/sec at an angle of 60° to the horizontal, its horizontal and vertical velocity at the highest point of trajectory are

A. 0 and 5 m/sec

B. 5 m/sec and 0

C. 5√3 m/sec and 0

D. 5 and 5√3 m/sec

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4

The unit of impulse, is

A. kg.m/sec

B. kg.m/sec

C. kg.m/sec2

D. kg.m/sec

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4

A rod AB carries three loads of 30 N, 70 N and 100 N at distances of 20 mm, 90 mm and 150 mm respectively from A. Neglecting the weight of the rod, the point at which the rod will balance is

A. 109.5 mm from A

B. 119.5 mm from A

C. 125.5 mm from A

D. 132.5 mm from A

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4

Effect of a force on a body depends upon its

A. Direction

B. Magnitude

C. Position

D. All the above

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4

A load of 500 kg was lifted through a distance of 13 cm. by an effort of 25 kg which moved through a distance of 650 cm. The mechanical advantage of the lifting machine is

A. 15

B. 18

C. 20

D. 26

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4

The locus of the instantaneous centre of a moving rigid body, is

A. Straight line

B. Involute

C. Centroid

D. Spiral

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4

The maximum value of the horizontal range for a projectile projected with a velocity of 98 m/sec is

A. 98 m

B. 490 m

C. 980 m

D. 1960 m

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4

A funicular polygon cannot be made to pass through

A. One specified point

B. Two specified points

C. Three specified points

D. More than three specified points

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4

Which one of the following statements is true?

A. The tangent of the angle of friction is equal to coefficient of friction

B. The angle of repose is equal to angle of friction

C. The tangent of the angle of repose is equal to coefficient of friction

D. All the above

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4

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

One Newton is equivalent to

A. 1 kg. wt

B. 9.81 kg. wt

C. 981 dyne

D. 1/9.81 kg. wt

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4

A particle moves in a straight line and its position is defined by the equation x = 6 t² - t3 where t is expressed in seconds and x in meters. The maximum velocity during the motion is

A. 6 m/sec

B. 12 m/sec

C. 24 m/sec

D. 48 m/sec

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4

A geo-stationary satellite is one which orbits the earth with a velocity of rotation of

A. Moon

B. Earth

C. Sun

D. Pole

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4

The product of mass and velocity of a moving a body, is called

A. Moment

B. Momentum

C. Power

D. Impulse

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4

The forces which meet at one point and have their lines of action in different planes are called

A. Coplanar non-concurrent forces

B. Non-coplanar concurrent forces

C. Non-coplanar non-current forces

D. Intersecting forces

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4

The acceleration of a train starting from rest at any instant is 1/6(V + 1) m/sec² where V is the velocity of the train in m/sec. The train will attain a velocity of 36 km/hour after travelling a distance of

A. 2000 m

B. 2100 m

C. 2200 m

D. 2300 m

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4

If the given forces P₁, P₂, P₃ and P₄ are such that the force polygon does not close, then the system will

A. Be in equilibrium

B. Always reduce to a resultant force

C. Always reduce to a couple

D. Both (A) and (C)

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4

A projectile has maximum range of 40 m on a horizontal plane. If angle of projection is a and the time of flight is 1 second, then sin a must be about (Assume g = 10 m/sec²)

A. 1/4

B. 1/3

C. 1/2

D. 1/5

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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

Coefficient of friction depends on

A. Nature of surfaces only

B. Area of contact only

C. Both (A) and (B)

D. None of the above

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4

The acceleration of a particle moving along the circumference of a circle with a uniform speed, is directed

A. Radially

B. Tangentially at that point

C. Away from the centre

D. Towards the centre

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4

A stone is thrown vertically upwards with a vertical velocity of 49 m/sec. It returns to the ground in

A. 5 sec

B. 8 sec

C. 10 sec

D. 20 sec

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4

The C.G. of a hemisphere from its base measured along the vertical radius is at a distance of

A. 4R/3π

B. 3R/8

C. 3πR/4

D. 8R/3

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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

For a particle moving with a simple harmonic motion, the frequency is

A. Directly proportional to periodic time

B. Inversely proportional to periodic time

C. Inversely proportional to its angular velocity

D. Directly proportional to its angular velocity

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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

If α is the angular acceleration of a compound pendulum whose angular displacement is θ, the frequency of the motion is

A. 2π √(α/θ)

B. (1/2π) √(α/θ)

C. 4π √(α/θ)

D. 2π √(α - θ)