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# Janardan Rai Nagar Rajasthan Vidyapeeth 2006 B.Tech MECHANICS - Question Paper

Tuesday, 14 May 2013 03:05Web

JRN Rajasthan Vidyapeeth University

B.Tech

SEMESTER - 1

MECHANICS

DR

Model Question Paper

#### Time : 3 hrs Maximum marks : 75

Instruction:

1. Question paper is divided into Group A, Group B and Group C

2. Each Group is 25 Marks

3. Figure to the right in bracket indicates marks.

4. Good Handwriting is expected

5. Assume suitable data if necessary.

Group A (25 Marks)

Answer any three questions (Question 1 is compulsory)

 (5)

 (10)

Q.1 State and explain parallelogram law and triangle law of forces?

Q.2 Angle of inclination of a rough inclined plane is with the horizontal and a body is

Supported by friction on that plane. Prove that the body cannot be moved up the plane

by any horizontal force whose value is less than w tan 2 ?

 (10)

 (10)

Q.3 Deduce the condition for the equilibrium of a body on a rough

inclined plane subjected to a force acting at some angle with the

inclined plane.?

 (10)

Q.4 Derive Flexural formulae : ?

Q.5 Deduce the condition for the equilibrium of a body on a rough inclined plane

subjected to a force acting at some angle with the inclined plane. ?

Group B (25 Marks)

Answer any three questions (Questions 6 is compulsory)

 (5)

Q.6 A compound lever shown in the following figure is required to lift a heavy load W.

Find the volume of W; if an effort (p) of 100N is applied at A. ?

 (10)

Q.7 Calculate the resultant of the following four concurrent forces, acting away from a point. ?

(a) 50N towards East

(b) 45N towards 20 East of North

(c) 35N towards 30 West of North

(d) 25N towards 50 West of South.

Q.8 Find Ixx, Iyy through centroid of the following figure. Assume uniform thickness of 3cm

thought. out.?

 (10)

 (10)

Q.9 Find the centroid of a trapezium shown in figure.

 (10)

Q.10. Draw shear force diagram and bending moment diagram for the following

cantilever beam.

Group C (25 Marks)

All Questions are Compulsory.

Q.11 Fill in the blanks ( each question carry 2 marks)

(i) If the line of action of all forces pass through a single point than they are said to be ______ forces

(ii) Acceleration is a _____ quantity.

(iii)Ability to resist bending is the property called as _______

(iv)The point where the entire weight of the body is assumed to be concentrated is called _____

(v)The ratio between lateral strain and linear strain is called as ______

Q.11 Multiple choice question. (Each question carry 2 marks)

(i) (i)The body which does not undergoes deformation after application of external force is called as

(a)Rigid body (b)Deformable body

(c)Tough body (d)Hard body

(ii)The dimension of force in MLT system is

(a)MLT-1 (b)MLT-2

(c)MLT-3 (d)MLT-4

(iii)Moment of inertia about X axis (i.e Ixx) of a rod having circular cross section is

(a)πD3/64 (b) πD2/64

(c) πD4/64 (d) πR4/64

(iv)The centre of gravity of a right circular cone of diameter d and height h lies at a distance of __

from the base measured along the vertical radius.

(a)h/2 (b) h/4

(c)h/3 (c)h/6

(v) The coefficient of static friction is always _______coefficient of dynamic friction.

(a)less than (b)equal to

(c)more than

Q.11 True or false (each question carry 1 marks).

(i) The following equation is dimensionally homogeneous v = ks,where v is velocity,

k is a mere number,s is distance.

(ii)The unit of weight in S.I system is Kg

(iii)The dimension of power in MLT system is ML2T-3

(iv)Varignons theorem states that the resultant of a coplanar system will have the same moment as

the sum of moments of each force.

(v)Unit of stress in S.I system is Pascal.

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