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4

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. (v1 - v2)/(u1 - u2)

B. (v₂ - v₁)/(u1 - u2)

C. (u1 - u2)/(v1 - v2)

D. (u₂ + u₁)/(v₂ + v₁)

Correct Answer :

B. (v₂ - v₁)/(u1 - u2)


Related Questions

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4

Which of the following are vector quantities?

A. Angular displacement

B. Angular velocity

C. Angular acceleration

D. All 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

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

Which of the following is not the unit of work, energy and heat?

A. kcal

B. kg-m

C. kW-hr

D. h.p

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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. 60°

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4

A heavy string attached at two ends at same horizontal level and when central dip is very small approaches the following curve

A. Circular arc

B. Parabola

C. Hyperbola

D. Elliptical

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4

The velocity ratio in case of an inclined plane inclined at angle θ to the horizontal and weight being pulled up the inclined plane by vertical effort is

A. sinθ

B. cosθ

C. tanθ

D. cosecθ

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4

When a body of mass m attains a velocity v from rest in time t, then the kinetic energy of translation is

A. mv2

B. mgv2

C. 0.5 mv2

D. 0.5 mgv2

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4

From a circular plate of diameter 6 cm is cut out a circle whose diameter is a radius of the plate. Find the e.g. of the remainder from the centre of circular plate

A. 0.5 cm

B. 1.0 cm

C. 1.5 cm

D. 2.5 cm

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4

Which of the following is an equation of linear motion? (where, u and v = Initial and final velocity of the body, a = Acceleration of the body, and s = Displacement of the body in time t seconds.)

A. v = u + a.t

B. s = u.t + ½ a.t2

C. v2 = u2 + 2a.s

D. All of these

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4

Moment of inertia of a triangular section of base (b) and height (h) about an axis passing through its vertex and parallel to the base, is __________ than that passing through its C.G. and parallel to the base.

A. Nine times

B. Six times

C. Four times

D. Two times

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A redundant frame is also called __________ frame.

A. Perfect

B. Imperfect

C. Deficient

D. None of these

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4

The centre of gravity of a semi-circle lies at a distance of __________ from its base measured along the vertical radius.

A. 3r/ 8

B. 4r/ 3π

C. 8r/3

D. 3r/4π

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4

If a given force (or a given system of forces) acting on a body __________ the position of the body, but keeps it in equilibrium, then its effect is to produce internal stress in the body.

A. Change

B. Does not change

C. Changes periodically

D. None of these

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4

A screw jack used for lifting the loads is

A. A reversible machine

B. A non-reversible machine

C. An ideal machine

D. None of these

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4

Coplanar concurrent forces are those forces which

A. Meet at one point, but their lines of action do not lie on the same plane

B. Do not meet at one point and their lines of action do not lie on the same plane

C. Meet at one point and their lines of action also lie on the same plane

D. Do not meet at one point, but their lines of action lie on the same plane

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4

Which of the following statement is correct?

A. The algebraic sum of the forces, constituting the couple is zero

B. The algebraic sum of the forces, constituting the couple, about any point is the same

C. A couple cannot be balanced by a single force but can be balanced only by a couple of opposite sense

D. All of the above

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4

A differential pulley block has larger and smaller diameters of 100 mm and 80 mm respectively. Its velocity ratio is

A. 5

B. 10

C. 20

D. 40

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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

Which of the following is a vector quantity?

A. Energy

B. Mass

C. Momentum

D. Angle

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4

The centre of gravity of a trapezium with parallel sides a and b lies at a distance of y from the base b, as shown in the below figure. The value of y is

A. h [(2a + b)/(a + b)]

B. (h/2) [(2a + b)/(a + b)]

C. (h/3) [(2a + b)/(a + b)]

D. (h/3) [(a + b)/(2a + b)]

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4

The unit of angular acceleration is

A. N-m

B. m/s

C. m/s2

D. rad/s2

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4

Moment of inertia of a circular section about its diameter (d) is

A. πd3/16

B. πd3/32

C. πd4/32

D. πd4/64

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4

A pendulum which executes one beat per second is known as

A. Simple pendulum

B. Compound pendulum

C. Torsional pendulum

D. Second's pendulum

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4

A body of weight W is required to move up on rough inclined plane whose angle of inclination with the horizontal is α. The effort applied parallel to the plane is given by (where μ = tanφ = Coefficient of friction between the plane and the body.)

A. P = W tanα

B. P = W tan (α + φ)

C. P = W (sinα + μcosα)

D. P = W (cosα + μsinα)

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4

According to law of triangle of forces

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

The centre of gravity a T-section 100 mm × 150 mm × 50 mm from its bottom is

A. 50 mm

B. 75 mm

C. 87.5 mm

D. 125 mm

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4

For a self locking machine, the efficiency must be

A. Equal to 50 %

B. Less than 50 %

C. Greater than 50 %

D. 100 %

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4

According to parallel axis theorem, the moment of inertia of a section about an axis parallel to the axis through centre of gravity (i.e. IP) is given by(where, A = Area of the section, IG = Moment of inertia of the section about an axis passing through its C.G., and h = Distance between C.G. and the parallel axis.)

A. IP = IG + Ah2

B. IP = IG - Ah2

C. IP = IG / Ah2

D. IP = Ah2 / IG

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4

The time of flight (t) of a projectile on an upward inclined plane is (where u = Velocity of projection, α = Angle of projection, and β = Inclination of the plane with the horizontal.)

A. t = g cos β/2u sin (α - β)

B. t = 2u sin (α - β)/g cos β

C. t = g cos β/2u sin (α + β)

D. t = 2u sin (α + β)/g cos β