The horizontal range of a projectile (R) is given by

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The horizontal range of a projectile (R) is given by

A. R = u² cos2α/g

B. R = u² sin2α/g

C. R = u² cosα/g

D. R = u² sinα/g

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The units of moment of inertia of an area are

A. kg-m²

B. m⁴

C. kg/m²

D. m³

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Which of the following is the example of lever of first order?

A. Arm of man

B. Pair of scissors

C. Pair of clinical tongs

D. All of the above

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A number of forces acting at a point will be in equilibrium, if

A. All the forces are equally inclined

B. Sum of all the forces is zero

C. Sum of resolved parts in the vertical direction is zero (i.e. ΣV = 0)

D. None of these

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The horizontal range of a projectile (R) is given by

A. R = u² cos2α/g

B. R = u² sin2α/g

C. R = u² cosα/g

D. R = u² sinα/g

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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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Which of the following statement is correct?

A. The kinetic energy of a body during impact remains constant.

B. The kinetic energy of a body before impact is equal to the kinetic energy of a body after impact.

C. The kinetic energy of a body before impact is less than the kinetic energy of a body after impact.

D. The kinetic energy of a body before impact is more than the kinetic energy of a body after impact.

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The ratio of static friction to dynamic friction is always

A. Equal to one

B. Less than one

C. Greater than one

D. None of these

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The wheels of a moving car possess

A. Potential energy only

B. Kinetic energy of translation only

C. Kinetic energy of rotation only

D. Kinetic energy of translation and rotation both

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The loss of kinetic energy during inelastic impact, is given by (where m₁ = Mass of the first body, m₂ = Mass of the second body, and u₁ and u₂ = Velocities of the first and second bodies respectively.)

A. [m₁ m₂/2(m₁ + m₂)] (u₁ - u₂)²

B. [2(m₁ + m₂)/m₁ m₂] (u₁ - u₂)²

C. [m₁ m₂/2(m₁ + m₂)] (u₁² - u₂²)

D. [2(m₁ + m₂)/m₁ m₂] (u₁² - u₂²)

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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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The centre of percussion is below the centre of gravity of the body and is at a distance equal to

A. h/kG

B. h²/kG

C. kG²/h

D. h × kG

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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

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The C.G. of a solid hemisphere lies on the central radius 3r

A. At distance from the plane base 3r

B. At distance from the plane base 3r

C. At distance from the plane base 3r

D. At distance from the plane base

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The necessary condition for forces to be in equilibrium is that these should be

A. Coplanar

B. Meet at one point

C. Both (A) and (B) above

D. All be equal

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The moment of inertia of a solid sphere of mass m and radius r is

A. 2mr²/3

B. 2mr²/5

C. mr²

D. mr²/2

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The resultant of two forces P and Q (such that P > Q) acting along the same straight line, but in opposite direction, is given by

A. P + Q

B. P - Q

C. P / Q

D. Q / P

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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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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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Two bodies of masses m1 and m2 are hung from the ends of a rope, passing over a frictionless pulley as shown in the figure below. The acceleration of the string will be

A. g (m₁ - m₂)/(m₁ + m₂)

B. 2g (m₁ - m₂)/(m₁ + m₂)

C. g (m₁ + m₂)/(m₁ - m₂)

D. 2g (m₁ + m₂)/(m₁ - m₂)

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Joule is the unit of

A. Force

B. Work

C. Power

D. Velocity

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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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If the number of pulleys in a system is equal to its velocity ratio, then it is a __________ system of pulleys

A. First

B. Second

C. Third

D. None of these

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The range of projectile (R) on an upward inclined plane is

A. g. cos² β/2u². sin (α + β). cos α

B. 2u². sin (α + β). cos α/g. cos² β

C. g. cos² β/2u². sin (α - β). cos α

D. 2u². sin (α - β). cos α/g. cos² β

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The weight of a body is due to

A. Gravitational pull exerted by the earth

B. Forces experienced by body in atmosphere

C. Force of attraction experienced by particles

D. Gravitational force of attraction towards the centre of the earth

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A machine having an efficiency greater than 50%, is known as

A. Reversible machine

B. Non-reversible machine

C. Neither reversible nor non-reversible machine

D. Ideal machine

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The linear velocity of a body rotating at ω rad/s along a circular path of radius r is given by

A. ω/r

B. ω.r

C. ω²/r

D. ω².r

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If a rigid body is in equilibrium under the action of three forces, then

A. These forces are equal

B. The lines of action of these forces meet in a point

C. The lines of action of these forces are parallel

D. Both (B) and (C) above

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When trying to turn a key into a lock, following is applied

A. Coplanar force

B. Non-coplanar forces

C. Moment

D. Couple

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In a framed structure, as shown in the below figure, the force in the member AB is __________ the force in member AC.

A. Half

B. Equal to

C. Double

D. None of these

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A force acting on a body may

A. Change its motion

B. Balance the other forces acting on it

C. Retard its motion

D. All of the above

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Accepted Answer

B. R = u² sin2α/g

The horizontal range of a projectile (R) is given by

Correct Answer :

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Related Questions

The units of moment of inertia of an area are

Which of the following is the example of lever of first order?

A number of forces acting at a point will be in equilibrium, if

The horizontal range of a projectile (R) is given by

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

Which of the following statement is correct?

The ratio of static friction to dynamic friction is always

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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.)

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

Two bodies of masses m1 and m2 are hung from the ends of a rope, passing over a frictionless pulley as shown in the figure below. The acceleration of the string will be

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A force acting on a body may

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The horizontal range of a projectile (R) is given by

Correct Answer :

Show all Engineering Mechanics MCQ

Related Questions

The units of moment of inertia of an area are

Which of the following is the example of lever of first order?

A number of forces acting at a point will be in equilibrium, if

The horizontal range of a projectile (R) is given by

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

Which of the following statement is correct?

The ratio of static friction to dynamic friction is always

The wheels of a moving car possess

The loss of kinetic energy during inelastic impact, is given by (where m1 = Mass of the first body, m2 = Mass of the second body, and u1 and u2 = Velocities of the first and second bodies respectively.)

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

The centre of percussion is below the centre of gravity of the body and is at a distance equal to

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

The C.G. of a solid hemisphere lies on the central radius 3r

The necessary condition for forces to be in equilibrium is that these should be

The moment of inertia of a solid sphere of mass m and radius r is

The resultant of two forces P and Q (such that P > Q) acting along the same straight line, but in opposite direction, is given by

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.)

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

Two bodies of masses m1 and m2 are hung from the ends of a rope, passing over a frictionless pulley as shown in the figure below. The acceleration of the string will be

Joule is the unit of

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

If the number of pulleys in a system is equal to its velocity ratio, then it is a __________ system of pulleys

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The weight of a body is due to

A machine having an efficiency greater than 50%, is known as

The linear velocity of a body rotating at ω rad/s along a circular path of radius r is given by

If a rigid body is in equilibrium under the action of three forces, then

When trying to turn a key into a lock, following is applied

In a framed structure, as shown in the below figure, the force in the member AB is __________ the force in member AC.

A force acting on a body may

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The loss of kinetic energy during inelastic impact, is given by (where m₁ = Mass of the first body, m₂ = Mass of the second body, and u₁ and u₂ = Velocities of the first and second bodies respectively.)