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4

The bellow figure shows the three coplanar forces P, Q and R acting at a point O. If these forces are in equilibrium, then

A. P/sin β = Q/sin α = R/sin

B. P/sin α = Q/sin β = R/sin

C. P/sin = Q/sin α = R/sin β

D. P/sin α = Q/sin = R/sin β

Correct Answer :

B. P/sin α = Q/sin β = R/sin


Related Questions

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4

A block of mass m1, placed on an inclined smooth plane is connected by a light string passing over a smooth pulley to mass m2, which moves vertically downwards as shown in the below figure. The tension in the string is

A. m1/m2

B. m1. g. sin α

C. m1.m2/m1 + m2

D. m1. m2.g (1 + sin α)/(m1 + m2)

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4

The maximum acceleration of a particle moving with simple harmonic motion is

A. ω

B. ωr

C. ω2r

D. ω/r

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4

The bodies which rebound after impact are called

A. Inelastic bodies

B. Elastic bodies

C. Neither elastic nor inelastic bodies

D. None of these

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4

The rate of doing work is known as

A. Potential energy

B. Kinetic energy

C. Power

D. None of these

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4

The velocity of a body on reaching the ground from a height h, is

A. 2.√(gh)

B. √(gh)

C. √(2gh)

D. 2g.√h

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4

If two bodies having masses m1 and m2 (m1>m2) have equal kinetic energies, the momentum of body having mass m1 is _________ the momentum of body having mass m2.

A. Equal to

B. Less than

C. Greater than

D. None of these

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4

If three forces acting in one plane upon a rigid body, keep it in equilibrium, then they must either

A. Meet in a point

B. Be all parallel

C. At least two of them must meet

D. All the above are correct

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4

The force, by which the body is attracted, towards the centre of the earth, is called

A. Impulsive force

B. Mass

C. Weight

D. Momentum

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4

The mechanical advantage of a lifting machine is the ratio of

A. Distance moved by effort to the distance moved by load

B. Load lifted to the effort applied

C. Output to the input

D. All of the above

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4

For any system of coplanar forces, the condition of equilibrium is that the

A. Algebraic sum of the horizontal components of all the forces should be zero

B. Algebraic sum of the vertical components of all the forces should be zero

C. Algebraic sum of moments of all the forces about any point should be zero

D. All of the above

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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

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

Which of the following do not have identical dimensions?

A. Momentum and impulse

B. Torque and energy

C. Torque and work

D. Moment of a force and angular momentum.

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4

The resultant of the two forces P and Q is R. If Q is doubled, the new resultant is perpendicular to P. Then

A. P = Q

B. Q = R

C. Q = 2R

D. None of these

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4

The length of a second's pendulum is

A. 94.9 cm

B. 99.4 cm

C. 100 cm

D. 101 cm

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4

The maximum mechanical advantage of a lifting machine is

A. 1 + m

B. 1 - m

C. 1 / m

D. m

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4

The coefficient of friction depends upon

A. Nature of surfaces

B. Area of contact

C. Shape of the surfaces

D. All of the above

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4

A weight of 1000 N can be lifted by an effort of 80 N. If the velocity ratio is 20, the machine is

A. Reversible

B. Non-reversible

C. Ideal

D. None of these

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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

The motion of a particle round a fixed axis is

A. Translatory

B. Rotary

C. Circular

D. Translatory as well as rotary

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4

When two elastic bodies collide with each other,

A. The two bodies will momentarily come to rest after collision

B. The two bodies tend to compress and deform at the surface of contact

C. The two bodies begin to regain their original shape

D. All of the above

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4

If P is the force acting on the body, m is the mass of the body and a is the acceleration of the body, then according to Newton's second law of motion,

A. P + m.a = 0

B. P - m.a = 0

C. P × m.a = 0

D. P/m.a = 0

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4

A framed structure is imperfect, if the numbers of members are __________ (2j - 3).

A. Equal to

B. Less than

C. Greater than

D. Either (B) or (C)

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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

The C.G. of a right circular solid cone of height h lies at the following distance from the base

A. h/2

B. J/3

C. h/6

D. h/4

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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 acceleration of a particle moving with simple harmonic motion is __________ at the mean position.

A. Zero

B. Minimum

C. Maximum

D. None of these

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4

Varingon's theorem of moments states that if a number of coplanar forces acting on a particle are in equilibrium, then

A. Their algebraic sum is zero

B. Their lines of action are at equal distances

C. The algebraic sum of their moments about any point in their plane is zero

D. The algebraic sum of their moments about any point is equal to the moment of their resultant force about the same point.

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4

A rubber ball is dropped from a height of 2 m. If there is no loss of velocity after rebounding, the ball will rise to a height of

A. 1 m

B. 2 m

C. 3 m

D. 4 m

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4

The maximum efficiency of a lifting machine is

A. 1/m

B. V.R./m

C. m/V.R.

D. 1/(m × V.R.)