Janardan Rai Nagar Rajasthan Vidyapeeth 2006 B.Tech MECHANICS  Question Paper
JRN Rajasthan Vidyapeeth University
B.Tech
SEMESTER  1
MECHANICS
Model Question Paper
BF5MECHANICS
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)


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 ?


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

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)

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. ?

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.?



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)πD^{3}/64 (b) πD^{2}/64
(c) πD^{4}/64 (d) πR^{4}/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 ML^{2}T^{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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Earning: Approval pending. 