Q1.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
Answer : Option BExplaination / Solution:
Given Data: p = 5MPa; d = 1000mm; t = 10mm
Q2.A torque T is applied at the free end of a stepped rod of circular cross-sections as
shown in the figure. The shear modulus of the material of the rod is G. The
expression for d to produce an angular twist θ at the free end is
Answer : Option BExplaination / Solution:
Angular twist at the free end
Q3.Two identical ball bearings P and Q are operating at loads 30kN and 45kN
respectively. The ratio of the life of bearing P to the life of bearing Q is
Q4.For the four-bar linkage shown in the figure, the angular velocity of link AB is 1
rad/s. the length of link CD is 1.5 times the length of link AB. In the configuration
shown, the angular velocity of link CD in rad/s is
Answer : Option DExplaination / Solution:
For the given configuration
Q5.A stone with mass of 0.1kg is catapulted as shown in the figure. The total force Fx (in N) exerted by the rubber band as a function of distance x (in m) is given by F = 300x2. If the stone is displaced by 0.1m from the un-stretched position
(x=0) of the rubber band, the energy stored in the rubber band is
Answer : Option BExplaination / Solution:
Energy stored in the bar = W.D. by the stone
Q6.A mass of 1kg is attached to two identical springs each with stiffness k = 20kN/m
as shown in the figure. Under frictionless condition, the natural frequency of the
system in Hz is close to
Answer : Option AExplaination / Solution:
Natural frequency of the system
Q7.The shear strength of a sheet metal is 300MPa. The blanking force required to
produce a blank of 100mm diameter from a 1.5 mm thick sheet is close to
Q8.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
Answer : Option CExplaination / Solution: No Explaination.
Q9.A 1 kg block is resting on a surface with coefficient of friction µ = 0.1. A force of
0.8N is applied to the block as shown in figure. The friction force is
Answer : Option BExplaination / Solution:
Limiting friction force between the block and the surface is 0.98N. But the
applied force is 0.8N which is less than the limiting friction force. Therefore the
friction force for the given case is 0.8N.
Q10.A single–point cutting tool with 12o rake angle is used to machine a steel work–
piece. The depth of cut, i.e. uncut thickness is 0.81mm. The chip thickness under
orthogonal machining condition is 1.8mm. The shear angle is approximately
Answer : Option BExplaination / Solution:
Relation between shear angle (φ), chip thickness ratio (r) and rake angle (α) is given by
Total Question/Mark :
Scored Mark :
Mark for Correct Answer : 1
Mark for Wrong Answer : -0.5
Mark for Left Answer : 0