Theory of Machines and Design - General Engineering - Production & Industrial Engineering Previous Year Questions

1

2007 · Production & Industrial Engineering · General Engineering · Theory of Machines and Design

Production & Industrial Engineering (PI) 2007

Which one of the following planar mechanisms does NOT provide quick-return motion?

A

Scotch-Yoke

B

Whitworth

C

Off-set slider crank

D

Drag link

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2

2007 · Production & Industrial Engineering · General Engineering · Theory of Machines and Design

Production & Industrial Engineering (PI) 2007

A disc type flywheel having a mass of 10 kg and radius 0.2 m is replaced in a single cylinder engine by a system of dynamically equivalent concentrated masses m₁ and m₂ rotating about the flywheel axis as shown below. If the distance x₁ is 0.1 m then the distance x₂ is

A

0.1 m

B

0.2 m

C

0.4 m

D

0.8 m

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3

2007 · Production & Industrial Engineering · General Engineering · Theory of Machines and Design

Production & Industrial Engineering (PI) 2007

A disc type flywheel having a mass of 10 kg and radius 0.2 m is replaced in a single cylinder engine by a system of dynamically equivalent concentrated masses \( m_1 \) and \( m_2 \) rotating about the flywheel axis as shown below. If the distance \( x_1 \) is 0.1 m then the distance \( x_2 \) is

A

0.1 m

B

0.2 m

C

0.4 m

D

0.8 m

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4

2007 · Production & Industrial Engineering · General Engineering · Theory of Machines and Design

Production & Industrial Engineering (PI) 2007

A radial disc cam rotating at a constant speed of 60 rpm provides a parabolic displacement of 0.2 m to its flat faced rectilinear follower during 90° of its rotation. The acceleration (m/s²) experienced by the follower is

A

0.8

B

1.6

C

3.2

D

6.4

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5

2007 · Production & Industrial Engineering · General Engineering · Theory of Machines and Design

Production & Industrial Engineering (PI) 2007

The pinion is a spur gear having 30 teeth of 2 mm module. The torque T (Nm) generated is

A

36

B

72

C

147

D

294

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6

2008 · Production & Industrial Engineering · General Engineering · Theory of Machines and Design

Production & Industrial Engineering (PI) 2008

Self locking condition for a pair of square thread screw and nut having coefficient of friction = \(\mu\), lead of thread = \(L\) and pitch diameter of thread = \(d\), is given by

A

\(d > \frac{L}{\pi \mu}\)

B

\(d > \pi \mu L\)

C

\(d > \mu L\)

D

\(\mu > L.d\)

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7

2008 · Production & Industrial Engineering · General Engineering · Theory of Machines and Design

Production & Industrial Engineering (PI) 2008

Self locking condition for a pair of square thread screw and nut having coefficient of friction = $\mu$, lead of thread = $L$ and pitch diameter of thread = $d$, is given by

A

$d > \frac{L}{\pi \mu}$

B

$d > \pi \mu L$

C

$d > \mu L$

D

$\mu > L.d$

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8

2008 · Production & Industrial Engineering · General Engineering · Theory of Machines and Design

Production & Industrial Engineering (PI) 2008

A 19-tooth pinion paired with a 33-tooth gear has a 2-mm module and 20 degree pressure angle. Tooth forms are standard AGMA full depth involutes. If the centre distance, during assembly, is increased by 3 percent, then the new pressure angle (in degrees) will be

A

24.17

B

22.21

C

17.49

D

14.56

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9

2008 · Production & Industrial Engineering · General Engineering · Theory of Machines and Design

Production & Industrial Engineering (PI) 2008

A shaft of diameter 10 mm transmits 100 W of power at an angular speed of \(\frac{800}{\pi}\) rad/s. The maximum shear stress (in MPa) developed in the shaft is

A

2

B

4

C

8

D

16

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10

2008 · Production & Industrial Engineering · General Engineering · Theory of Machines and Design

Production & Industrial Engineering (PI) 2008

Statement for Linked Answer Questions 78 and 79:
A disk brake has two friction linings with the outside-lining and inside-lining diameters as 120 mm and 60 mm, respectively. The coefficient of friction at the interface of lining and rotating part is 0.35. A 10 kN axial force is applied to stop the part rotating at 8000 rpm. To cool the disk brake, an arrangement of circulating the water (specific heat 4.2 kJ / kg-°C) is made. Assume uniform wear rate of disk linings and heat transfer by convection only.
The torque (in N-m) applied by the brake on the rotating part is

A

215

B

315

C

630

D

1260

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11

2009 · Production & Industrial Engineering · General Engineering · Theory of Machines and Design

Production & Industrial Engineering (PI) 2009

A helical compression spring has: d = wire diameter, D = mean coil diameter, E = Young’s modulus, G = modulus of rigidity and \(N_a\) = number of active coils. The spring stiffness is

A

\(\frac{d^4 E}{8 D^3 N_a}\)

B

\(\frac{d^4 G}{8 D^3 N_a}\)

C

\(\frac{D^4 E}{8 d^3 N_a}\)

D

\(\frac{D^4 G}{8 d^3 N_a}\)

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12

2009 · Production & Industrial Engineering · General Engineering · Theory of Machines and Design

Production & Industrial Engineering (PI) 2009

If module and number of teeth of a spur gear with an involute profile are 3 mm and 23 respectively, then the pitch diameter (in mm) of the spur gear is

A

7.67

B

15.34

C

34.50

D

69.00

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13

2009 · Production & Industrial Engineering · General Engineering · Theory of Machines and Design

Production & Industrial Engineering (PI) 2009

The displacement and acceleration of a cam follower mechanism are plotted in the following figures: The nature of the displacement curve is

A

Cubic

B

Quadratic

C

Simple harmonic

D

Linear

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14

2009 · Production & Industrial Engineering · General Engineering · Theory of Machines and Design

Production & Industrial Engineering (PI) 2009

The displacement and acceleration of a cam follower mechanism are plotted in the following figures:
The nature of the displacement curve is

A

Cubic

B

Quadratic

C

Simple harmonic

D

Linear

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15

2009 · Production & Industrial Engineering · General Engineering · Theory of Machines and Design

Production & Industrial Engineering (PI) 2009

A friction clutch is designed to transmit 15 horsepower at 1500 rpm. The torque (in N.m) experienced by the clutch is

A

1.19

B

7.46

C

71.24

D

447.61

Check answer

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16

2010 · Production & Industrial Engineering · General Engineering · Theory of Machines and Design

Production & Industrial Engineering (PI) 2010

A gear with involute tooth profile has 50 teeth and module 2. It is in mesh with a pinion having 20 teeth. The pressure angle is 20°. The base circle diameter (in mm) of the pinion is

A

33.828

B

37.587

C

42.567

D

93.969

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17

2012 · Production & Industrial Engineering · General Engineering · Theory of Machines and Design

Production & Industrial Engineering (PI) 2012

A circular solid disc of uniform thickness 20 mm, radius 200 mm and mass 20 kg, is used as a flywheel. If it rotates at 600 rpm, the kinetic energy of the flywheel, in Joules is

A

395

B

790

C

1580

D

3160

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18

2012 · Production & Industrial Engineering · General Engineering · Theory of Machines and Design

Production & Industrial Engineering (PI) 2012

In the mechanism given below, if the angular velocity of the eccentric circular disc is 1 rad/s, the angular velocity (rad/s) of the follower link for the instant shown in the figure is Note: All dimensions are in mm.

A

0.05

B

0.1

C

5.0

D

10.0

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19

2012 · Production & Industrial Engineering · General Engineering · Theory of Machines and Design

Production & Industrial Engineering (PI) 2012

A force of 400 N is applied to the brake drum of 0.5 m diameter in a band-brake system as shown in the figure, where the wrapping angle is 180°. If the coefficient of friction between the drum and the band is 0.25, the braking torque applied, in N.m is

A

100.6

B

54.4

C

22.1

D

15.7

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20

2013 · Production & Industrial Engineering · General Engineering · Theory of Machines and Design

Production & Industrial Engineering (PI) 2013 [Session 1]

A planar closed kinematic chain is formed with rigid links PQ = 2.0 m, QR = 3.0 m, RS = 2.5 m and SP = 2.7 m with all revolute joints. The link to be fixed to obtain a double rocker (rocker-rocker) mechanism is

A

PQ

B

QR

C

RS

D

SP

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