Q1.An annular disc has a mass m, inner radius R and outer radius 2R. The disc rolls on a flat
surface without slipping. If the velocity of the centre of mass is v, the kinetic energy of the
disc is
Answer : Option CExplaination / Solution: No Explaination.
Q2.A siphon is used to drain water from a large tank as shown in the figure below. Assume that
the level of water is maintained constant. Ignore frictional effect due to viscosity and losses at
entry and exit. At the exit of the siphon, the velocity of water is
Answer : Option BExplaination / Solution:
Applying Bernoulli’s equation between the points ‘P’ and ‘R’.
Since the level of liquid in tank remains the same, Vp = 0
Q4.A force P is applied at a distance x from the end of the beam as shown in the figure. What
would be the value of x so that the displacement at ‘A’ is equal to zero?
Answer : Option CExplaination / Solution: No Explaination.
Q6.Consider a rotating disk cam and a translating roller follower with zero offset. Which one of
the following pitch curves, parameterized by t, lying in the interval 0 to 2π, is associated with
the maximum translation of the follower during one full rotation of the cam rotating about the
center at (x, y) = (0, 0) ?
Answer : Option CExplaination / Solution:
From all the four options the maximum amplitudes is in point ‘C’ as t = 0.
Q7.Consider a rotating disk cam and a translating roller follower with zero offset. Which one of
the following pitch curves, parameterized by t, lying in the interval 0 to 2π, is associated with
the maximum translation of the follower during one full rotation of the cam rotating about the
center at (x, y) = (0, 0) ?
Answer : Option CExplaination / Solution:
From all the four options the maximum amplitudes is in point ‘C’ as t = 0.
Q8.A manufacturer can produce 12000 bearings per day. The manufacturer received an order of
8000 bearings per day from a customer. The cost of holding a bearing in stock is Rs.0.20 per
month. Setup cost per production run is Rs.500. Assuming 300 working days in a year, the
frequency of production run should be
Answer : Option CExplaination / Solution: No Explaination.