Q1.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
Q2.Water is coming out from a tap and falls vertically downwards. At the tap
opening, the stream diameter is 20mm with uniform velocity of 2 m/s.
Acceleration due to gravity is 9.81m / s2. Assuming steady, inviscid flow,
constant atmospheric pressure everywhere and neglecting curvature and surface
tension effects, the diameter is mm of the stream 0.5m below the tap is
approximately
Answer : Option BExplaination / Solution: No Explaination.
Q3.All the four entries of the 2 × 2 matrix are nonzero, and one of its
eigenvalue is zero. Which of the following statements is true?
Answer : Option CExplaination / Solution:
The product of Eigen value is equal to the determinant of the matrix. Since one
of the Eigen value is zero, the product of Eigen value is zero, thus determinant
of the matrix is zero.
Q5.A solid cylinder of diameter 100 mm and height 50 mm is forged between two frictionless flat
dies to a height of 25 mm. The percentage change in diameter is
Q6. A steel ball of diameter 60 mm is initially in thermal equilibrium at 1030 C° in a
furnace. It is suddenly removed from the furnace and cooled in ambient air at
30 C° , with convective heat transfer coefficient h=20 W / m2 K. The thermophysical
properties of steel are: density ρ = 7800 kg / m3, conductivity k = 40 W/mK and specific heat c=600 J/kgK. The time required in seconds to cool
the steel ball in air from 1030 C° to 430 C° is
Q9.The state of stress at a point under plane stress condition is σxx = 40 MPa, σyy = 100 MPa and τxy = 40 MPa The radius of the Mohr’s circle representing the given state of stress in MPa is
Q10. A flywheel connected to a punching machine has to supply energy of 400 Nm
while running at a mean angular speed of 20 radians/s. If the total fluctuation of
speed is not to exceed ±2% , the mass moment of inertia of the flywheel in kg m2− is
Answer : Option AExplaination / Solution:
Total Question/Mark :
Scored Mark :
Mark for Correct Answer : 1
Mark for Wrong Answer : -0.5
Mark for Left Answer : 0