The resultant of two forces P and Q acting at an angle θ is

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The resultant of two forces P and Q acting at an angle θ is

A. √(P² + Q² + 2PQ sinθ)

B. √(P² + Q² + 2PQ cosθ)

C. √(P² + Q² - 2PQ cosθ)

D. √(P² + Q² - 2PQ tanθ)

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The moment of inertia of a solid cylinder of mass m, radius r and length l about the longitudinal axis or polar axis is

A. mr²/2

B. mr²/4

C. mr²/6

D. mr²/8

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The equivalent length of a simple pendulum which gives the same frequency as compound pendulum is

A. h/(kG² + h²)

B. (kG² + h²)/h

C. h²/(kG² + h²)

D. (kG² + h²)/h²

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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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Centre of gravity of a thin hollow cone lies on the axis at a height of

A. One-fourth of the total height above base

B. One-third of the total height above base

C. One-half of the total height above base

D. Three-eighth of the total height above the base

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The efficiency of a screw jack is maximum, when (where α = Helix angle, and φ = Angle of friction.)

A. α = 45° + φ/2

B. α = 45° - φ/2

C. α = 90° + φ

D. α = 90° - φ

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On the ladder resting on the ground and leaning against a smooth vertical wall, the force of friction will be

A. Downwards at its upper end

B. Upwards at its upper end

C. Perpendicular to the wall at its upper end

D. Zero at its upper end

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The unit of work in S.I. units is

A. Newton

B. erg

C. kg-m

D. joule

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The moment of inertia of a thin disc of mass m and radius r, about an axis through its centre of gravity and perpendicular to the plane of the disc is

A. mr²/2

B. mr²/4

C. mr²/6

D. mr²/8

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If rain is falling in the opposite direction of the movement of a pedestrian, he has to hold his umbrella

A. More inclined when moving

B. Less inclined when moving

C. More inclined when standing

D. Less inclined when standing

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Which of the following is not the unit of pressure?

A. kg/cm

B. Bar

C. Atmosphere

D. Newton

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A body moves, from rest with a constant acceleration of 5 m per sec. The distance covered in 5 sec is most nearly

A. 38 m

B. 62.5 m

C. 96 m

D. 124 m

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The moment of inertia of a thin rod of mass m and length l, about an axis through its centre of gravity and perpendicular to its length is

A. ml²/4

B. ml²/ 6

C. ml²/8

D. ml²/12

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Effect of a force on a body depends upon

A. Magnitude

B. Direction

C. Position or line of action

D. All of the above

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Joule is the unit of

A. Force

B. Work

C. Power

D. Velocity

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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

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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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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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The force induced in the string AB due to the load W, as shown in the below figure is

A. W sinθ

B. W cosθ

C. W secθ

D. W cosecθ

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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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The unit of power in S.I. units is

A. Horsepower

B. Joule

C. Watt

D. kg-m

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The impact between two lead spheres is approximately equal to an __________ impact.

A. Elastic

B. Inelastic

C. Solid

D. None of these

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One end of a helical spring is fixed while the other end carries the load W which moves with simple harmonic motion. The frequency of motion is given by (where δ = Deflection of the spring.)

A. 2π. √(g/δ)

B. 1/2π. √(g/δ)

C. 2π. √(δ/g)

D. 1/2π. √(δ/g)

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A couple produces

A. Translatory motion

B. Rotational motion

C. Combined translatory and rotational motion

D. None of the above

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The time of flight (t) of a projectile on a horizontal plane is given by

A. t = 2u. sinα/g

B. t = 2u. cosα/g

C. t = 2u. tanα/g

D. t = 2u/g.sinα

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The moment of inertia of a sphere of mass m and radius r, about an axis tangential to it, is

A. 2mr²/3

B. 2mr²/5

C. 7mr²/3

D. 7mr²/5

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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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Static friction is always __________ dynamic friction.

A. Equal to

B. Less than

C. Greater than

D. None of these

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The algebraic sum of the resolved parts of a number of forces in a given direction is equal to the resolved part of their resultant in the same direction. This is known as

A. Principle of independence of forces

B. Principle of resolution of forces

C. Principle of transmissibility of forces

D. None of these

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A ladder is resting on a smooth ground and leaning against a rough vertical wall. The force of friction will act

A. Towards the wall at its upper end

B. Away from the wall at its upper end

C. Downward at its upper end

D. Upward at its upper end

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If three forces acting in different planes can be represented by a triangle, these will be in

A. Non-equilibrium

B. Partial equilibrium

C. Full equilibrium

D. Unpredictable

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Accepted Answer

B. √(P² + Q² + 2PQ cosθ)

The resultant of two forces P and Q acting at an angle θ is

Correct Answer :

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