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4

A point subjected to a number of forces will be in equilibrium, if

A. Sum of resolved parts in any two directions at right angles, are both zero

B. Algebraic sum of the forces is zero

C. Two resolved parts in any two directions at right angles are equal

D. Algebraic sum of the moments of the forces about the point is zero

Correct Answer :

A. Sum of resolved parts in any two directions at right angles, are both zero


Related Questions

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4

For a non-concurrent force system to be in equilibrium

A. Only the closure of force polygon is sufficient

B. Only the closure of funicular polygon is sufficient

C. Both force polygon and funicular polygon must close

D. None of the above

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4

A ball is dropped from a height of 2.25 m on a smooth floor and rises to a height of 1.00 m after the bounce. The coefficient of restitution between the ball and the floor is

A. 0.33

B. 0.44

C. 0.57

D. 0.67

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4

The tension in a cable supporting a lift

A. Is more when the lift is moving downwards

B. Is less when the lift is moving upwards

C. Remains constant whether its moves downwards or upwards

D. Is less when the lift is moving downwards

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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

Maximum efficiency of a screw jack for the angle of friction θ, is

A. sin θ/(1 + sin θ)

B. (1 - sin θ)/sin θ

C. (1 + sin θ)/(1 - sin θ)

D. (1 - sin θ)/(1 + sin θ)

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4

If two bodies of masses M1 and M2(M1 > M2) are connected by alight inextensible string passing over a smooth pulley, the tension in the string, will be given by

A. T = g(M1 - M2)/(M1 + M2)

B. T = g(M1 + M2)/(M1 × M2)

C. T = g(M2 - M1)/(M1 + M2)

D. T = g(M2 + M1)/(M2 - M1)

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4

The direction of projection should bisect the angle between the inclined plane and the vertical for a range of a projectile on inclined plane

A. To be zero

B. To be maximum

C. To be minimum

D. None of these

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4

If l is the span of a light suspension bridge whos each cable carries total weight (w) and the central dip is y, the horizontal pull at each support, is

A. wl/4y

B. wl/8y

C. wl/2y

D. wl

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4

The total kinetic energy of a hoop of mass 2 kg and radius 4 m sliding with linear velocity 8 m/sec and angular velocity 5 radian/sec is

A. 64 J

B. 400 J

C. 464 J

D. 89 J

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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 bullet weighing 10 gm moves with a velocity of l km/sec. Its kinetic energy is (i) 5000 Nm (ii) 5000 kg.m (iii) 5000 J The correct answer is

A. Only (ii)

B. Both (i) and (iii)

C. Both (ii) and (iii)

D. All (i), (ii) and (iii)

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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

If the angle between the applied force and the direction of motion of a body, is between 90° and 180°, the work done, is called

A. Virtual work

B. Imaginary work

C. Zero work

D. Negative work

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4

Time period and length of a seconds pendulum respectively are

A. 1 sec and 99.4 cm

B. 1 sec and 92.7 cm

C. 2 sec and 99.4 cm

D. 2 sec and 92.7 cm

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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

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

If G is the Gauge of track, v is velocity of the moving vehicle, g is the acceleration due to gravity and r is the radius of a circular path, the required super elevation is

A. gv²/Gr

B. Gr²/gr

C. Gr²/gv²

D. Gv²/gv

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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

M.I. of solid sphere, is

A. Mr2

B. ½ Mr2

C. Mr2

D. πr4/2

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4

For lifting a load of 50 kg through a distance of 2.5 cm, an effort of 12.5 kg is moved through a distance of 40 cm. The efficiency of the lifting machine, is

A. 60 %

B. 65 %

C. 70 %

D. 75 %

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4

A ball of mass 1 kg moving with a velocity of 2 m/sec collides a stationary ball of mass 2 kg and comes to rest after impact. The velocity of the second ball after impact will be

A. Zero

B. 0.5 m/sec

C. 1.0 m/sec

D. 2.0 m/sec

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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

If the angle of projection is double the angle of inclination (α) of the plane on which particle is projected, the ratio of times of flight up the inclined plane and down the inclined plane, will be

A. ½ cos α

B. ½ sin α

C. ½ tan α

D. 2 cos α

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4

From the circular plate of a diameter 6 cm is cut out a circular plate whose diameter is equal to radius of the plate. The C.G. of the remainder shifts from the original position through

A. 0.25 cm

B. 0.50 cm

C. 0.75 cm

D. 1.00 cm

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4

A square hole is punched out of a circular lamina, the diagonal of the square being the radius of the circle. If r is the radius of the circle, the C.G. of the remainder from the corner of the square on the circumference will be

A. [r (π + 0.25)]/(π - 0.5)

B. [r (π - 0.5)]/(π + 0.25)

C. [r (π - 0.25)]/(π - 0.5)

D. [r (π + 0.25)]/(π + 0.5)

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4

According to Law of Triangle of Forces

A. Three forces acting at a point, can be rep-resented by the sides of a triangle, each side being in proportion to the force

B. Three forces acting along the sides of a triangle are always in equilibrium

C. If three forces acting on a, point can be represented in magnitude and direction, by the sides of a triangle taken in order, these will be in equilibrium

D. If the forces acting on a particle be represented in magnitude and direction by the two sides of a triangle taken in order, their resultant will be represented in magnitude and direction by the third side of the triangle, taken in opposite order

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4

When two forces, each equal to P, act at 90° to each other, then the resultant will be

A. P

B. P√2

C. P/√2

D. 2P

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4

Pick up the correct statement from the following:

A. Nature plays an important role in the launch of a satellite

B. The earth's gravity reduces the speed of a satellite by 32 km per second

C. The gravitational force relents as the satellite climbs higher

D. All the above

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4

The torque produced by a force depends on (i) The magnitude of the force (ii) The direction of the force (iii) The point of application of the force relative to origin The correct answer is

A. Only (i)

B. Both (i) and (ii)

C. Both (i) and (iii)

D. All (i), (ii) and (iii)

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4

The unit of rotational inertia of a body in C.G.S system is

A. cm4

B. kg.cm²

C. gm.cm²

D. gm.cm3