4

Halved

Doubled

None of these

4

πd3/16

πd3/32

πd4/32

πd4/64

4

Which of the following statement is correct?

The periodic time of a particle moving with simple harmonic motion is the time taken by a particle for one complete oscillation.

The periodic time of a particle moving with simple harmonic motion is directly proportional to its angular velocity.

The velocity of the particle moving with simple harmonic motion is zero at the mean position.

The acceleration of the particle moving with simple harmonic motion is maximum at the mean position.

4

Varingon's theorem of moments states that if a number of coplanar forces acting on a particle are in equilibrium, then

Their algebraic sum is zero

Their lines of action are at equal distances

The algebraic sum of their moments about any point in their plane is zero

The algebraic sum of their moments about any point is equal to the moment of their resultant force about the same point.

4

The friction experienced by a body, when in motion, is known as

Rolling friction

Dynamic friction

Limiting friction

Static friction

4

kW (kilowatt)

hp (horse power)

kcal/sec

kcal/kg sec

4

Impulsive force

Mass

Weight

Momentum

4

db³/12

bd³/12

db³/36

bd³/36

4

P × OA

P × OB

P × OC

P × AC

4

The motion of a wheel of a car is

Purely translation

Purely rotational

Combined translation and rotational

None of these

4

The forces, which meet at one point and their lines of action also lie on the same plane, are known as

Coplanar concurrent forces

Coplanar non-concurrent forces

Non-coplanar concurrent forces

Non-coplanar non-concurrent forces

4

Equal to one

Less than one

Greater than one

None of these

4

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

√(P² + Q² + 2PQ sinθ)

√(P² + Q² + 2PQ cosθ)

√(P² + Q² - 2PQ cosθ)

√(P² + Q² - 2PQ tanθ)

4

Zero

Minimum

Maximum

None of these

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

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

Arm of man

Pair of scissors

Pair of clinical tongs

All of the above

4

g sinθ

g cosθ

g tanθ

None of these

4

2.√(gh)

√(gh)

√(2gh)

2g.√h

4

ω

ωr

ω2r

ω/r

4

The coefficient of friction depends upon

Nature of surfaces

Area of contact

Shape of the surfaces

All of the above

4

Moment of inertia of a hollow rectangular section as shown in the below figure about X-X axis, is

(BD³/12) - (bd³/12)

(DB³/12) - (db³/12)

(BD³/36) - (bd³/36)

(DB³/36) - (db³/36)

4

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

At distance from the plane base 3r

At distance from the plane base 3r

At distance from the plane base 3r

At distance from the plane base

4

Increase

Decrease

Not be effected

None of these

4

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

Reversible machine

Non-reversible machine

Neither reversible nor non-reversible machine

Ideal machine

4

For any system of coplanar forces, the condition of equilibrium is that the

Algebraic sum of the horizontal components of all the forces should be zero

Algebraic sum of the vertical components of all the forces should be zero

Algebraic sum of moments of all the forces about any point should be zero

All of the above

4

In order to completely specify angular displacement by a vector, it must fix

Direction of the axis of rotation

Magnitude of angular displacement

Sense of angular displacement

All of these

4

Two times

Same

Half

None of these

4

The centre of gravity of a trapezium with parallel sides a and b lies at a distance of y from the base b, as shown in the below figure. The value of y is

h [(2a + b)/(a + b)]

(h/2) [(2a + b)/(a + b)]

(h/3) [(2a + b)/(a + b)]

(h/3) [(a + b)/(2a + b)]

4

Circular arc

Parabola

Hyperbola

Elliptical

4

P = Q

Q = R

Q = 2R

None of these