IIT JEE/Mechanical Engineering Engineering Mechanics Part 1 Sample Test,Sample questions

Question:
 If a number of forces act simultaneously on a particle it is possibleto replace them by a couple and a force.

1.not a replace them by a single force

2.to replace them by a single force

3.to replace them by a single force through C.G.

4.to replace them by a couple


Question:
 If n = number of members andy = number of joints then for a perfect frame n =

1.j-2

2.2j-l

3.2/-3

4.3/-2


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

1.non-equilibrium

2.partial equilibrium

3.full equilibrium

4.unpredictable


Question:
 If two equal forces of magnitude P act at an angle 9? their resultant will be

1.P/2 cos 9/2

2.IP sin 9/2

3.2P tan 9/2

4.IP cos 9/2


Question:
 In detennining stresses in frames by methods of sections the frame is divided into two parts by an imaginary section drawn in such a way as not to cut more thanfour members with two known forces.

1.two members with unknown forces of the frame

2.three members with unknown forces of the frame

3.four members with unknown forces of the frame

4.three members with known forces of the frame


Question:
 The algebraic sum of moments of the forces forming couple about any point in their plane is

1.equal to the moment of the couple

2.constant

3.both of above are correct

4.both of above are wrong


Question:
 The centre of gravity of a triangle lies at the point of

1.concurrence of the medians

2.intersection of its altitudes

3.intersection of bisector of angles

4.intersection of diagonals


Question:
 The resolved part of the resultant of two forces inclined at an angle 9 in a given direction is equal tothe sum of the forces multiplied by the tangent of 9.

1.the algebraic sum of the resolved parts of the forces in the given direction

2.the sum of the resolved parts of the forces in the given direction

3.the difference of the forces multiplied by the cosine of 9

4.the sum of the forces multiplied by the sine of 9


Question:
 The units of moment of inertia of an area are

1.kg m2

2.m4

3.kg/m2

4.m3


Question:
 Which of the following is not the unit of pressure ?kg/cm

1.kg/cm

2.ata

3.atmosphere

4.newton


Question:
1# Which of the following is the locus of a point that moves in such a manner that its distance from a fixed point is equal to its distance from a fixed line multiplied by a constant greater than one

1.ellipse

2.hyperbola

3.parabola

4.circle


Question:
18. Which of the following is not the unit of work energy and heat ?

1.kcal

2.kg m

3.kWhr

4.hp


Question:
20. The weight of a body is due tocgravitational pull exerted by the earth

1.centripetal force of earth

2.forces experienced by body in atmos-phere

3.force of attraction experienced by par-ticles

4.gravitational force of attraction towards the centre of the earth.


Question:
A flywheel on a motor goes from rest to 1000 rpm in 6 sec. The number of revolutions made is nearly equal to

1.25

2.50

3.100

4.250


Question:
A force acting on a body maybalance the other forces acting on itretard its motion

1.introduce internal stresses

2.balance the other forces acting on itretard its motion

3.change its motion

4.all of the above.


Question:
A force is completely defined when we specifyall of the abovenone of the above.

1.magnitude

2.direction

3.point of application

4.all of the above.


Question:
A heavy string attached at two ends at same horizontal level and when central dip is very small approaches the following curve

1.catenary

2.parabola

3.hyperbola

4.elliptical


Question:
A trolley wire weighs 1.2 kg per metre length. The ends of the wire are attached to two poles 20 metres apart. If the horizontal tension is 1500 kg find the dip in the middle of the span

1.2.5 cm

2.3.0 cm

3.4.0 cm

4.5.0 cm


Question:
According to principle of transmissibility of forces the effect of a force upon a body isnone of the above.

1.maximum when it acts at the centre of gravity of a body

2.different at different points in its line of action

3.the same at every point in its line of action

4.minimum when it acts at the C.G. of the body


Question:
Centre of gravity of a solid cone lies on the axis at the height

1.one-fourth of the total height above base

2.one-third of the total height above base

3.one-half of the total height above base

4.three-eighth of the total height above the base


Question:
Centre of gravity of a thin hollow cone lies on the axis at a height ofone-fourth of the total height above basethree-eighth of the total height above the basenone of the above.

1.one-fourth of the total height above base

2.one-third of the total height above base

3.one-half of the total height above base


Question:
Centre of percussion isthe point of metacentrepoint of suspension

1.the point of C.G.

2.the point of metacentre

3.the point of application of the resultant of all the forces

4.tending to cause a body to rotate about a certain axis


Question:
Effect of a force on a body depends upon

1.magnitude

2.direction

3.position or line of action

4.all of the above


Question:
Forces are called concurrent when their lines of action meet in

1.one point

2.two points

3.plane

4.perpendicular planes


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

1.one point

2.one plane

3.different planes

4.perpendicular planes


Question:
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 plate0.25 cm.

1.0.5 cm

2.1.0 cm

3.1.5 cm

4.2.5 cm


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

1.W between P and F

2.F between W and P

3.P between W and F

4.W P and F all on one side


Question:
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 as per the principle ofbalance of force

1.forces

2.independence of forces

3.dependence of forces

4.resolution of forces.


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

1.at distance ? from the plane base 3r

2.at distance ? from the plane base 3r

3.at distance ? from the plane base 3r

4.at distance ? from the plane base or


Question:
The centre of gravity of a uniform lamina lies atall of the above

1.the centre of heavy portion

2.the bottom surface

3.the mid point of its axis

4.none of the above.


Question:
The centre of percussion of the homogeneous rod of length L suspended at the top will be3L/8.

1.L/2

2.L/3

3.3L/4

4.2L/3


Question:
The forces which meet at one point but their lines of action do not lie in a plane are called

1.coplanar non-concurrent forces

2.non-coplanar concurrent forces

3.non-coplanar non-concurrent forces

4.intersecting forces


Question:
The M.I. of hollow circular section about a central axis perpendicular to section as compared to its M.I. about horizontal axis is

1.same

2.double

3.half

4.four times


Question:
The magnitude of two forces which when acting at right angle produce resultant force of VlOkg and when acting at 60? produce resultant of Vl3 kg. These forces are

1.2 and V6

2.2 and 5

3.V5andV5

4.none of the above.


Question:
The maximum frictional force which comes into play when a body just begins to slide over another surface is called

1.limiting friction

2.sliding friction

3.rolling friction

4.kinematic friction


Question:
The possible loading in various members of framed structures are

1.compression or tension

2.buckling or shear

3.shear or tension

4.all of the above


Question:
The product of either force of couple with the arm of the couple is calledresulting couplenone of the above.

1.resultant couple

2.moment of the forces

3.resulting couple

4.moment of the couple


Question:
The unit of power in S.I. units is

1.newton metre

2.watt

3.joule

4.kilogram metre/sec.


Question:
The unit of work or energy in S.I. units iswatt

1.newton

2.pascal

3.kilogram metre

4.joule.


Question:
The units of moment of inertia of mass arem2/kg.

1.kg m2

2.m4

3.kg/m2

4.kg/m


Question:
Two non-collinear parallel equal forces acting in opposite direction

1.balance each other

2.constitute a moment

3.constitute a couple

4.constitute a moment of couple


Question:
When trying to turn a key into a lock following is appliedmoment

1.coplanar force

2.non-coplanar forceslever

3.moment

4.couple.


Question:
Which of the following do not have identical dimensions ?Kinetic energy and potential energy

1.Momentum and impulse

2.Torque and energy

3.Torque and work

4.Moment of a force and angular momentum.


Question:
Which of the following is a vector quantityenergy

1.energy

2.mass

3.momentum

4.angle


Question:
Which of the following is not a scalar quantityvolumeacceleration.

1.time

2.mass

3.volume

4.density


Question:
Which of the following is not a vector quantity

1.weight

2.velocity

3.acceleration

4.force


Question:
Which of the following is not the unit of distance ?millimetre

1.angstrom

2.light year

3.micron

4.milestone.


Question:
Which of the following is not the unit of energy

1.kg m

2.kcal

3.wattr

4.watt hours


Question:
Which of the following is not the unit of power ?kg m/sec

1.kW (kilowatt)

2.hp (horse power)

3.kcal/sec

4.kcal/kg sec.


Question:
Which of the following is the example of lever of first order

1.arm of man

2.pair of scissors

3.pair of clinical tongs

4.all of the above


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