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4

If two equal forces of magnitude P act at an angle θ, their resultant, will be

A. P cos θ/2

B. 2P sin θ/2

C. P tan θ/2

D. 2P cos θ/2

Correct Answer :

D. 2P cos θ/2


Related Questions

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4

If two equal forces of magnitude P act at an angle θ, their resultant, will be

A. P cos θ/2

B. 2P sin θ/2

C. P tan θ/2

D. 2P cos θ/2

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4

A circular disc rotates at n rpm. The angular velocity of a circular ring of same mass and radius as the disc and to have the same angular momentum is

A. n rpm

B. n/2 rpm

C. n/4 rpm

D. 2n rpm

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4

The frequency of oscillation on moon as compared to that on earth, will be

A. 2.44 times more

B. 2.44 times less

C. 3 times less

D. 3 times more

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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

Rate of change of angular momentum is equal to

A. Force

B. Torque

C. Linear momentum

D. Impulse

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4

Newtons Law of Motion is:

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. All the above

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4

The unit of force in C.G.S. system of units, is called

A. Dyne

B. Newton

C. Kg

D. All the above

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4

Periodic time of body moving with simple harmonic motion, is

A. Directly proportional to its angular velocity

B. Directly proportional to the square of its angular velocity

C. Inversely proportional to the square of its angular velocity

D. Inversely proportional to its angular velocity

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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 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

If the velocity of projection is 4 m/sec and the angle of projection is α°, the maximum height of the projectile from a horizontal plane, is

A. u² cos² α/2g

B. u² sin² α/2g

C. u² tan² α/2g

D. u² sin 2α/2g

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4

One end of a light string 4 m in length is fixed to a point on a smooth wall and the other end fastened to a point on the surface of a smooth sphere of diameter 2.25 m and of weight 100 kg. The reaction between the sphere and the wall of the arrangement made is

A. 102.5 kg

B. 105.5 kg

C. 108.5 kg

D. 110 kg

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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 centre of gravity of a quadrant of a circle lies along its central radius at a distance of

A. 0.2 R

B. 0.4 R

C. 0.3 R

D. 0.6 R

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4

M.I. of a thin ring (external diameter D, internal diameter d) about an axis perpendicular to the plane of the ring, is

A. π/64 (D4 + d4)

B. π/32 (D4 - d4)

C. π/32 (D4 + d4)

D. π/32 (D4 × d4)

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4

The following factor affects the orbit of a satellite up to an altitude of 720 km from the earth's surface

A. Uneven distribution of the gravitational field

B. Gravity of the sun and the moon

C. Aerodynamic forces

D. None of these

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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 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 particle is executing simple harmonic motion in a line 1.0 m long. If the time of one complete vibration is 1 sec, then the maximum velocity of the particle is

A. 1.00 m/sec

B. 1.57 m/sec

C. 3.14 m/sec

D. 6.28 m/sec

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4

Which one of the following laws is not applicable to a simple pendulum?

A. The time period does not depend on its magnitude

B. The time period is proportional to its length l

C. The time period is proportional to l, where l is length

D. The time period is inversely proportional to g, where g is the acceleration due to gravity

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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

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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 C.G. of the shaded area of the below figure from the x-axis is

A. a/4

B. 3a/4

C. 3b/10

D. 3a/10

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4

If three rigid rods are hinged together to form a triangle and are given rotary as well as translatory motion, the number of instantaneous centres of the triangle, will be

A. 1

B. 2

C. 3

D. 4

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4

The centre of gravity of a plane lamina will not be at its geometrical centre if it is a

A. Circle

B. Equilateral triangle

C. Rectangle

D. Right angled triangle

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4

A retarding force on a body does not

A. Change the motion of the body

B. Retard the motion of the body

C. Introduce the motion of the body

D. None of these

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4

A 50 kg boy climbs up a 8 m rope in gymnasium in 10 sec. The average power developed by the boy is approximately

A. 400 watts

B. 500 watts

C. 4000 watts

D. None of these

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4

If the horizontal range is 2.5 times the greatest height, the angle of projection of the projectile, is

A. 57°

B. 58°

C. 59°

D. 60°

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4

A ball moving with a velocity of 5 m/sec impinges a fixed plane at an angle of 45° and its direction after impact is equally inclined to the line of impact. If the coefficient of restitution is 0.5, the velocity of the ball after impact will be

A. 0.5 m/sec

B. 1.5 m/sec

C. 2.5 m/sec

D. 3.5 m/sec

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4

The Centre of gravity of a 10 × 15 × 5 cm T-section from its bottom, is

A. 7.5 cm

B. 5.0 cm

C. 8.75 cm

D. 7.85 cm