A thin cylinder of inner radius 500mm and thickness 10mm is subjected to an
internal pressure of 5MPa. The average circumferential (hoop) stress in MPa is

**A. ** 100

**B. ** 250

**C. ** 500

**D. ** 1000

**Answer : ****Option B**

**Explaination / Solution: **

Given Data: p = 5MPa; d = 1000mm; t = 10mm

Given Data: p = 5MPa; d = 1000mm; t = 10mm

Hoop stress = pd/2t = 250MPa

Workspace

Report

A disc of mass m is attached to a spring of stiffness k as shown in the figure. The
disc rolls without slipping on a horizontal surface. The natural frequency of
vibration of the system is

**A. **

**B. **

**C. **

**D. **

**Answer : ****Option C**

**Explaination / Solution: **

No Explaination.

No Explaination.

Workspace

Report

A solid circular shaft of diameter d is subjected to a combined bending moment M and torque, T.
The material property to be used for designing the shaft using the relation

**A. ** ultimate tensile strength (S_{u})

**B. ** tensile yield strength (S_{v})

**C. ** torsional yield strength (S_{sy})

**D. ** endurance strength (S_{e})

**Answer : ****Option C**

**Explaination / Solution: **

No Explaination.

No Explaination.

Workspace

Report

A rod of length 20mm is stretched to make a rod of length 40 mm. Subsequently, it is
compressed to make a rod of final length 10mm. Consider the longitudinal tensile strain as
positive and compressive strain as negative. The total true longitudinal strain in the rod is

**A. ** –0.5

**B. ** –0.69

**C. ** –0.75

**D. ** –1.0

**Answer : ****Option B**

**Explaination / Solution: **

Workspace

Report

The natural frequency of a spring-mass system on earth is ω_{n}. The natural
frequency of this system on the moon (g_{moon} = g_{earth}/ 6) is

**A. ** ωn

**B. ** 0.408ωn
**C. ** 0.204ωn
**D. ** 0.167ωn
**Answer : ****Option A**

**Explaination / Solution: **

No Explaination.

No Explaination.

Workspace

Report

A solid disc with radius a is connected to a spring at a point d
above the center of the disc. The other end of the spring is fixed to the
vertical wall. The disc is free to roll without slipping on the ground.
The mass of the disc is M and the spring constant is K. The polar
moment of inertia for the disc about its center is j = Ma^{2}/2

**A. **

**B. **

**C. **

**D. **

**Answer : ****Option C**

**Explaination / Solution: **

No Explaination.

The natural frequency of this system in rad/s is given by

No Explaination.

Workspace

Report

For the configuration shown, the angular velocity of link AB is 10 rad/s
counterclockwise. The magnitude of the relative sliding velocity (in ms^{-1}) of slider
B with respect to rigid link CD is

**A. ** 0

**B. ** 0.86

**C. ** 1.25

**D. ** 2.5

**Answer : ****Option D**

**Explaination / Solution: **

No Explaination.

No Explaination.

Workspace

Report

A machine element is subjected to the following bi-axial state of stress; σ_{x} = 80 MPa; σ_{y} = 20
MPa; τ_{xy }= 40MPa. If the shear strength of the material is 100 MPa, the factor of safety as
per Tresca‟s maximum shear stress theory is

**A. ** 1.0

**B. ** 2.0

**C. ** 2.5

**D. ** 3.3

**Answer : ****Option B**

**Explaination / Solution: **

Workspace

Report

A solid disc of radius r rolls without slipping on a horizontal floor with angular velocity ω and
angular acceleration α. The magnitude of the acceleration of the point of contact on the disc is

**A. ** Zero

**B. ** rα

**C. **

**D. ** rω^{2}
**Answer : ****Option D**

**Explaination / Solution: **

Tangential acceleration will be zero, radial acceleration will exist.

Tangential acceleration will be zero, radial acceleration will exist.

Hence, Total acceleration = rω2

Workspace

Report

The threaded bolts A and B of same material and length are subjected to identical tensile load. If the elastic strain energy stored in bolt A is 4 times that of the bolt B and the mean diameter of bolt A is 12mm, the mean diameter of bolt B in mm is

**A. ** 16

**B. ** 24

**C. ** 36

**D. ** 48

**Answer : ****Option B**

**Explaination / Solution: **

Workspace

Report