Roll No.

Total No. of Questions : 09]

**B.Tech. (AE/ME/IE(2008 Batch)) (Sem.–4)**

**THEORY OF MACHINES-II**

**Subject Code : ME-204**

**Paper ID : [A0809]**

Time : 3 Hrs.

INSTRUCTION TO CANDIDATES :

1. SECTION-A is COMPULSORY
consisting of TEN questions carrying

TWO marks each.

2. SECTION-B contains FIVE
questions carrying FIVE marks each and

students has to attempt any FOUR
questions.

3. SECTION-C contains THREE
questions carrying TEN marks each and

students has to attempt any TWO
questions.

**SECTION-A**

Q.l Write briefly:

a. Explain free body diagram.

b. Define dynamically equivalent
system.

c. What is primary balancing?

d. What is dynamic balancing?

e. Define hammer blow.

f. Define diametric pitch.

g. Define transmission angle.

h. Define module.

i. Define angle of hell.

j. What is the value of gyroscopic
couple during rolling of ship?

**SECTION- B**

Q.2. Calculate the value of driving torque T2 in

Q.3. Find the inertia force for the following data of an
I.C. engine:

Bore = 175 mm, stroke = 20 mm,
engine speed = 50 rpm

Length of connecting rod = 40 mm,
crank angles 60o From TDC and mass of reciprocating parts = 180 kg

Q.4. Prove
that he resultant unbalanced force is minimum when half of the reciprocating
masses are balanced by rotating masses ie.

When C = 1/2.

Q.5. Two
spiral gear wheels of diameter ratio 1.5 are used on a machine tol. The angel
between shafts is 76o and the approximate centre distance is 1.5 cm. Sped of A
is 1.5 times the sped of B and normal pitch is 1 cm. Find the numbers of teeth
on each wheel and spiral angle for each wheel.

Q.6. Two
parallel shafts are to be connected by purr gearing. The approximate distance
between the shafts is 60 mm. If one shaft runs at 120 rpm and the other at 360
rpm, find the number o teeth on each wheel if module is 8 mm. Also determine
the exact distance apart of shafts.

**SECTION-C**

Q.7. The
wheel of a motor cycle has a total moment of inertia of 2.5 kg –m

^{2}and the engine part have a M. I. of 0.14kg –m^{2}. The gear ratio is 5 to 1 and the axis of rotation of the engine crank shaft is parallel to that of rear wheel, which have a diameter of 65 cm. Determine the magnitude and direction of the gyroscopic couple when motor cycle rounds a curve of 25 m radius at a speed of 50 km/hr. Total mass of the system is 180 kg and h = 0.60 m.
Q.8.
Synthesize a four bar linkage that will in one of its positions, satisfy the
following values for the angular velocities and accelerations:

Y = x

^{1.2}. for 1 ≤ ≤ 5
Using
chabyshev spacing for three precision

Points Take Ñ„

_{0}= 30^{o}, Ñ°_{o}= 60^{o}and ∆Ñ„ = ∆Ñ° = 90^{o}and r1 – 10 cm.
Q.9. A
vertical single cylinder engine is shown in Fig-2. The lower piston is
connected to the centre crank. The stroke is 80 mm for the lower piston. The
upper piston operator the two outer cranks which are at 180oto the centre
crank. The reciprocating parts for the lower piston weigh 10 kg. The
reciprocating parts for the upper piston weigh 20 kg. Find the stroke of the
upper piston when the primary force is balanced.

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