V55/V62 /T14014/ T07031/EE/20150817
Time:
3hr
Instructions:
Engineering Mechanics
Marks-80
1. All questions are compulsory.
2. “Long Answer type Question (LAQ)” is a supply type question
of 15 marks which required a typical answer of about 60-80 lines
in bout 32-40 minutes.
3. “Sort Answer type Question (SAQ)” is a supply type question of
5 marks which required a typical answer of about 15-20 lines in
bout 08-10 minutes.
4. Figures to the right indicate marks allotted to the questions.
5. Assume suitable data if necessary
6. Use a nonprogrammable type of scientific calculator is allowed
Marks
Q.1
SECTION-A
a) Find analytically the resultant of concurrent force system shown in
fig 1. Also locates in position on figure
10
(b Differentiate between scalar quantity and vector quantity
05
OR
Q.1
(a) The following forces act at a point :
10
(i)20 N inclined at 30° towards north of east
(ii) 20 N towered north.
(iii) 30 N towards north-west and.
(iv) 35 N inclined at 40° south of west.
Find magnitude and direction of resultant force.
Page 1
05
(b) Differentiate between fundamental and derived unit.
Q.2
a) An Electric bulb of weight 10N hangs vertically from ceiling. Its
wire is pulled by a horizontal force ‘P’ such that its wire makes
and angle 10° with vertical. Find force ‘P’ and tension in wire
10
b)
05
State two types of beams with diagrams of each
OR
(a) A solid sphere weighing 1200 N is resting against two smooth
planes of notch as shown in fig 2. Find the reactions at the contact
surfaces.
10
(b) What are the analytical conditions for equilibrium for nonconcurrent force?
05
Q.3
What are the different types of coplanar forces
05
Q.4
State relational between resultant equilibrant
05
Q.2
Page 2
SECTION-B
Q.5
(a) Body of weight 600 N resting on rough horizontal plane is just by a
force of 150 N when force is applied 30° with horizontal. Calculate
coefficient of friction and normal reaction.
10
(b) What are the advantages and disadvantage of frication
05
OR
Q.5
Q.6
Q.6
(a) A dam has following dimensions :
Top width = 3m
Bottom width = 6m
Height = 18m
Find centroid with respect to base and face of dam. Face of dam is
straight.
10
(b) Calculate & show the centroid of lower half of circle of 50mm
diameter, diagrammatically
05
(a)
A solid cone having base diameter & height 6cm is co-axially
on a solid cylinder having 6cm diameter and 10cm high. C.G. of the
combination.
(b) A screw jack of pitch 8mm has a lever of 250mm length. If the
efficiency of machine is 30% find the efforts required to lift a load of
1500N
OR
(a) A Weston’s differential pulley block is used to lift a load of 8
KN. The diameters of pulleys are 26 cm and 24 cm. Calculate the
effort required if the efficiency is 45%. Also calculate the load lost
friction.
10
05
10
(b) Draw neat sketch of ‘Differential axis and wheel’ showing all
components.
05
Q.7
Locate centroid of ‘L’ section having flange 10mm X 80mm and web
10mm X 120mm
5
Q.8
What is low machine & state its importance.
5
Page 3