MULTIPLE CHOICES:

sub: ENGINEERING MECHANICS

Sub Code: EME - 102 /201

B.Tech First Semester (all branch)

University: UPTU (GBTU), Lucknow, Uttar Pradesh

OBJECTIVE TYPE QUESTIONS

PROBLEM SET - 1

Q1) If the coefficients of friction of an inclined plane be (1/√3), then the angle of repose of the plane will be

a) 90° b) 60° c) 45° d)30°

Q2) Three forces of equal magnitude acts along the side of an equilateral triangle, then the body will be in

a) static equilibrium

b) dynamic equilibrium

c) translational motion

d) rotational motion.

Q3) (1/2).E.e² is called

a) total strain energy

b) resilience

c) dynamic loading energy

d) none of this

Q4) The ratio of shear stress and shear strain is known as a) modulus of elasticity

b) poissons' ratio

c) modulus of rigidity

d) bulk modulus

Q5) The bending moment curves generated by UVL is

a) parabolic b) straight line

c) cubic d) constant

Q6) The centroidal moment of inertia of a quarter circle lamina is

a) 0.11r^4 b) 0.05r^4

c) 0.4242r^4 d) 0.5868r^4

Q7) The Point of Contraflexure is a point in the beam where

a) shear force is zero

b) bending moment is zero

c) bending moment is zero and it changes sign

d) none of these

Q8) If a body of mass M is moving with an acceleration (a) then the Inertial Force on the body is equals to

a) -Ma b) Ma c) |Ma|

d) none of these

Q9) A truss is made of seven linkages and five joints, then the truss is

a) deficient b) redundant

c) perfect d) none of these

Q10) A beam has 3 no.s of supports is known as

a) cantilever beam

b) continuous beam

c) overhanging beam

d) simply supported beam

¤ subhankar karmakar ¤

PROBLEM SET - 2:

Q1) The maximum value of frictional force that comes into play when a body tends to move on a surface called:

a) sliding friction, b) limiting friction, c) milling friction, d) none of these.

2) The ratio of static friction to dynamic friction is:

a) less than 1, b) equal to 1, c) greater than 1, d) none of these.

3) The angle of friction is equal to the:

a) ratio of frictional force to the normal reaction.

b) angle of inclined plane when a body tends to slide down.

c) angle of an inclined plane when a body is sliding.

d) none of these.

Q.4) A particle is moving along a circle with constant speed. The acceleration of the particle is:

a. along the circumference b. along the tangent

c. along the radius d. zero

Q.5) The area moment of inertia of a quarter circle of radius (r) about the centroidal

axes is

a. (0.055r2) b. (0.11r2)/3 c. (πr2)/4 d. π.r2

Q.6) The centroid of a semi circular area of radius r is

a. (r, 3r/4Π ) b. ( r, 2r/Π) c. (r/Π, r) d. (r, r/2Π)

Q.7) In the truss analysis, if the no. of linkages is 12 and the no. of joints is 7, then

a. perfect truss b. redundant truss

c. deficient truss d. indeterminate truss

Q.8) When shear force is zero at a point in a beam, bending moment at a certain point is,

a. zero b. maximum

c. minimum d. increasing

Q.9) The mass moment of inertia of a solid sphere of mass M and radius R about an diameter of the sphere will be

a. (1/5).M.R2 b. (2/5).M.R4 c. (2/5).M.R2 d. (1/5).M.R4

Q.10) In a simply supported beam of length L, a concentrated load W acts at the mid span, the maximum bending moment would be

a. W.L/4 b. W.L2

c. W.L)/2 d. 0

PROBLEM SET - 3

Q1) A couple can be balanced by

a) a direct Force

b) a moment

c) a torque

d) an equal and opposite couple.

Q2) Opening a Cold drinks bottle, one has to apply

a) a moment b) a torque

c) parallel forces d) a couple

Q3) A truss is said to be plane truss if

a) all the members lies in one plane

b) any two members lies in one plane

c) all the members are perpendicular to one plane

d) none of these

Q4) The ratio of frictional force normal reaction is called

a) angle of repose

b) angle of friction

c) limiting friction

d) coefficient of friction

Q5) Yielding means

a) elastic deformation

b) plastic deformation

c) fatigue failure

d) shear failure

Q6) The force required to move a body up an inclined plane will be least when the angle of inclination is:

a) equal to friction angle,

b) greater than friction angle,

c) less than friction angle,

d) none of these.

Q7) In a cantilever beam loaded with a point load at the free end, has maximum bending moment,

(i) free end,

(ii) fixed end,

(iii) at the mid span,

(iv) none of the above.

Q8) An idealized truss can only be loaded at

a) only at the mid point of the linkages

b) only at the joints

c) both at the mid points and joints

d) none of the above

Q9) UTM can be used to find

a) Modulus of Elasticity

b) compressive breaking strength

c) ultimate tensile strength

d) all of the above

||| the question paper is made by subhankar karmakar, 2011 |||

Q10) Bulk Modulus is defined as the ratio between

(i) linear stress and strain,

(ii) shear stress and strain,

(iii) volumetric stress and strain,

(iv) none of the above.

PROBLEM SET - 4:

Q.1 Answer the following questions as per the instructions 2x20=20

Choose the correct answer of the following Questions:

(i) The magnitudes of the force of friction between two bodies, one lying above the another depends upon the roughness of the

(a) Upper body

(b) Lower body

(c) Both the body (d) The body having more roughness

(ii) The moment of inertia of a circular section of diameter D about its centroidal axis is given by the expression

(a) π(D)4/16

(b) π(D)4/32

(c) π(D)4/64

(d) π(D)4/4

Fill in the blanks in the following questions:

(iii) The distance of the centroid of an equilateral triangle with each side (a) is …………. From any of the three sides.

(iv) Poisson’s ratio is defined as the ratio between ……………. and…………………………

(v) If two forces of equal magnitudes P having an angle 2Ө between them, then their resultant force will be equal to ________

Match the following columns for the following two parts:

(vi) Match the column I to an entry from the column II:

COLUMN I-------COLUMN II

(i) BMD of an UDL (a) stored strain energy per unit volume

(ii)Resilience is (b) brittle materials

(iii) Bulk Modulus (c) parabolic in nature

(iv) YieldPoint (d) volumetric stress & strain (e) Ductile materials(f) Shear stress

(vii) Match the Following columns:

COLUMN I COLUMN II

(i) Square of side b (p) π b4 / 64

(ii) Equilateral Triangle of side b (q) b4 / 12

(iii) Circle of diameter b (r) b4/ 36

(iv) Isosceles right angle triangle of base b (s) b4/(32√3)

Column II gives the value of Moment of Inertia Ixx about a centroidal axis.

Choose correct answer for the following parts:

(viii) Statement 1:

In stress strain graph of a ductile material, yield point starts at the end of the elastic limit.

Statement 2:

At yielding point, the deformation becomes plastic by nature.

(i) Statement 1 is true, Statement 2 is true.

(ii) Statement 1 is true, Statement 2 is true and they are unrelated with each other

(iii) Statement 1 is true, statement 2 is false.

(iv) Statement 1 is false, Statement 2 is false.

(ix) Statement 1:

It is easier to pull a body on a rough surface than to push the body on the same surface.

Statement 2:

Frictional force always depends upon the magnitude of the normal force.

(i)Statement 1 is true, Statement 2 is true.

(ii)Statement 1 is true, Statement 2 is true and they are unrelated with each other

(iii) Statement 1 is true, statement 2 is false.

(iv) Statement 1 is false, Statement 2 is false.

Choose the correct word/s.

(x) Two equal and opposite force acting at different points of a rigid body

is termed as (Bending Moment/ Torque/ Couple).

PROBLEM SET - 5

Q.1) The example of Statically indeterminate structures are,

a. continuous beam,

b. cantilever beam,

c. over-hanging beam,

d. both cantilever and fixed beam.

Q.2) A redundant truss is defined by the truss satisfying the equation,

a. m = 2j - 3,

b. m < 2j + 3,

c. m > 2j - 3,

d. m > 2j + 3

Q.3) The property of a material to withstand a sudden impact or shock is called,

a. hardness b. ductility,

c. toughness, d. elasticity

of the material

Q.4) The ratio of the stress generated by a dynamic loading to the stress developed by the gradually applying the same load is

a) 1 b) 2 c) 3 d) none of the above

Q.5) The ratio between the volumetric stress to the volumetric strain is called as

a. young's modulus

b. modulus of elasticity

c. rigidity modulus,

d. bulk modulus

Q.6) In a Cantilever beam, the maximum bending moment is induced at

a. at the free end

b. at the fixed end

c. at the mid span of the beam

d. none of the above

Q.7) The forces which meet at a point are called

a. collinear forces

b. concurrent forces

c. coplanar forces

d. parallel forces

Q.8) The coefficients of friction depends upon

a. nature of the surface

b. shape of the surface

c. area of the contact surface

d. weight of the body

Q.9) The variation of shear force due to a triangular load on simply supported beam is

a. uniform b. ...