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Posted By: santosh kumar kanugula Member Level: Gold Posted Date: 29 Jun 2008
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2007 Jawaharlal Nehru Technological University B.Tech Chemical engineering ENGINEERING MECHANICS Question paper
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Code No: R050210804 Set No. 1
II B.Tech I Semester Supplementary Examinations, February 2007
ENGINEERING MECHANICS
(Chemical Engineering)
Time: 3 hours Max Marks: 80
Answer any FIVE Questions
All Questions carry equal marks
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1. A strut AB attached to the face of a vertical wall at A by a spherical hinge stands
perpendicular to the wall and is supported by two guy wires, as shown in Figure1.
At B, in a plane parallel to the wall, two forces P and Q acts as shown, Q being
horizontal and P, vertical. Find the axial forces produced in the members if P =
500 N and Q = 1000 N.
Figure 1:
2. (a) A screw jack has a pitch of 6 mm. The mean radius of the threads is 60
mm. The mean diameter of the bearing surface under the cap is 80 mm.
The coe±cient of friction for all surfaces is 0.06. What turning moment is
necessary to raise 680 Kg.
(b) Determine the magnitude and direction of the friction force acting on the
1000N block shown in ¯gure2. If, ¯rst P = 500 N and second P = 100 N. The
coe±cient of static friction is 0.2, and the coe±cient of kinetic friction is 0.17.
The forces are applied with the block initially at rest.
3. An open °at belt drive connects two parallel shafts 1200mm apart. The driving
and driven shafts rotate at 350 r.p.m and 140 r.p.m respectively and the driven
pulley is 400 mm in diameter. The belt is 5mm thick and 80mm wide. Coe±cient
of friction between belt and pulley is 0.3 and maximum permissible tension in the
belting is 1:4N=mm2. Determine.
(a) Diameter of driving pulley.
(b) Maximum power that may be transmitted by the belting and
(c) Required initial tension in the belt. Neglect centrifugal tension.
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Code No: R050210804 Set No. 1
Figure 2:
4. (a) Di®erentiate between centroid and center of gravity.
(b) Determine the product of inertia of shaded area as shown about the indicate
x-y axis.
fAs shown in the Figure3g
Figure 3:
5. (a) Prove that the mass moment of inertia of a right circular cone of base radius
R and height h, with respect to a diameter of the base is M(3R2 + 2h2)=20
where M is the mass of the cone.
(b) Calculate the mass moment of inertia of a circular cone of base radius 300mm
and height 600mm about a line which passes through the mass centre of the
cone and which is parallel to the base of the cone. The mass density of the
cone is 2500 kg=m3 [8+8]
6. (a) Maximum range of a ¯eld gun is 2000m. If a target at a distance of 1200m is
to be hit, what should be the angle of projection.
(b) A stone dropped into a well is heard to strike the water in 3.5 seconds. Find
the depth of the well assuming the velocity of sound is 335 m/sec.
7. (a) A body weighing 20N is projected up a 200 inclined plane with a velocity of
12m/s, coe±cient of friction is 0.15. Find
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Code No: R050210804 Set No. 1
i. The maximum distance S, that the body will move up the inclined plane
ii. Velocity of the body when it returns to it original position.
(b) Find the acceleration of the moving loads as shown in ¯gure4. Take mass of
P=120kg and that of Q=80Kg and coe±cient of friction between surfaces of
contact is 0.3 .Also ¯nd the tension in the connecting string.
Figure 4:
8. A vertical U-tube manometer contains a liquid of mass density ½ as shown in the
(¯gure5). A sudden increase of pressure on one column forces the level of the liquid
down, When the pressure is released, the liquid column start vibrating. Neglecting
the frictional damping, determine the period of vibration. Comment if the period
is a®ected by changing the liquid, diameter of the tube or length `l' of the liquid
column.
Figure 5:
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