4

A smooth cylinder lying on a __________ is in neutral equilibrium.

Curved surface

Convex surface

Horizontal surface

None of these

C. Horizontal surface

4

n

2n

2n - 1

4

W sinθ

W cosθ

W tanθ

W cotθ

4

πN/60

πN/180

2πN/60

2πN/180

4

If a number of forces are acting at a point, their resultant will be inclined at an angle θ with the horizontal, such that

tanθ = ΣH/ΣV

tanθ = ΣV/ΣH

tanθ = ΣV × ΣH

tanθ = √(ΣV + ΣH)

4

Two times

Same

Half

None of these

4

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

Downward at its upper end

Upward at its upper end

Zero at its upper end

Perpendicular to the wall at its upper end

4

Least force required to draw a body up the inclined plane is W sin (plane inclination + friction angle) applied in the direction

Along the plane

Horizontally

Vertically

At an angle equal to the angle of friction to the inclined plane

4

The energy possessed by a body, for doing work by virtue of its position, is called

Potential energy

Kinetic energy

Electrical energy

Chemical energy

4

According to principle of moments

If a system of coplanar forces is in equilibrium, then their algebraic sum is zero

If a system of coplanar forces is in equilibrium, then the algebraic sum of their moments about any point in their plane is zero

The algebraic sum of the moments of any two forces about any point is equal to moment of the resultant about the same point

Positive and negative couples can be balanced

4

P/2

2P

√2 × P

P/√2

4

A force is completely defined when we specify

Magnitude

Direction

Point of application

All of the above

4

Zero

Minimum

Maximum

None of these

4

Lami's theorem states that

Three forces acting at a point will be in equilibrium

Three forces acting at a point can be represented by a triangle, each side being proportional to force

If three forces acting upon a particle are represented in magnitude and direction by the sides of a triangle, taken in order, they will be in equilibrium

If three forces acting at a point are in equilibrium, each force is proportional to the sine of the angle between the other two

4

Forces are called coplanar when all of them acting on body lie in

One point

One plane

Different planes

Perpendicular planes

4

g/2

g

√2.g

2g

4

A single force and a couple acting in the same plane upon a rigid body

Balance each other

Cannot balance each other

Produce moment of a couple

Are equivalent

4

Impulsive force

Mass

Weight

Momentum

4

Mass

Volume

Density

Acceleration

4

Which of the following do not have identical dimensions?

Momentum and impulse

Torque and energy

Torque and work

Moment of a force and angular momentum.

4

tan(α + φ)/tanα

tanα/tan (α + φ)

tan(α - φ)/tanα

None of these

4

In the lever of third order, load W, effort P and fulcrum F are oriented as follows

W between P and F

F between W and P

P between W and F

W, P and F all on one side

4

v

v/2

v/4

v/8

4

Reversible

Non-reversible

Ideal

None of these

4

The moment of a force

Is the turning effect produced by a force, on the body, on which it acts

Is equal to the product of force acting on the body and the perpendicular distance of a point and the line of action of the force

Is equal to twice the area of the triangle, whose base is the line representing the force and whose vertex is the point, about which the moment is taken

All of the above

4

The slope on the road surface generally provided on the curves is known as

Angle of friction

Angle of repose

Angle of banking

None of these

4

The coefficient of friction depends upon

Nature of surfaces

Area of contact

Shape of the surfaces

All of the above

4

A force while acting on a body may

Change its motion

Balance the forces, already acting on it

Give rise to the internal stresses in it

All of these

4

R = u² cos2α/g

R = u² sin2α/g

R = u² cosα/g

R = u² sinα/g

4

D' Alembert's principle is used for

Reducing the problem of kinetics to equivalent statics problem

Determining stresses in the truss

Stability of floating bodies

Designing safe structures