Download 95AM-4

95AM-4
Sr. No. 6
EXAMINATION OF MARINE ENGINEER OFFICER
Function: Marine Engineering at Operational Level
APPLIED MECHANICS
India (2002)
M.E.O. Class IV
(Time allowed - 3hours)
Morning Paper
Total Marks 100
NB : (1)All Questions are Compulsory
(2)All Questions carry equal marks
(3)Neatness in handwriting and clarity in expression carries weightage
1. A rating of mass 40 Kg climbs on a rope which can stand maximum tension of 600 N.
Then there is a possibility of the rope breaking while climbing
(1) Up with acceleration of 6 m/s²
(2) Down with acceleration of 6 m/s²
(3) Will not break in either case
2. A train is moving along a horizontal track. A pendulum suspended from the roof
makes an angle 490 with the vertical. Taking acceleration due to gravity as 10 m/s²
acting at 4º the acceleration of the train will be
(1) 0.70
(2) 0.80
(3) 1.00
(4) 0.60
Assume any other value if required for Calculations.
3. An object of mass M Kg moving with velocity V m/s collides head on with an object
of mass 3M Kg with velocity 2V m/s in the opposite direction and then both objects
coalesce and move with common velocity  m/s equivalent to
(1) V
(2) V
(3) 3 V
(4) 5 V
2
4
4
4. A boy weighing 50 Kg stands on a weighing machine placed on a platform
performing SHM of frequency 2 Hz and amplitude 0.05 meter. Taking g = 10 m/s²,
the ratio of the (maximum / minimum) on the machine will be approximately.
(1) 8.5
(2) 9.6
(3) 7.5
(4) 10
5. The ratio of the tension in the cable supporting a lift carrying a weight W, up and
down with uniform acceleration will be
(1) g + a
(2) g – a
(3) a
(4) g
g–a
g+a
g
a
6. A single stay supports a derrick 16 m long. The angle between the derrick and the
post is 60º while the included angle between stay and derrick is 30º. If the mass of the
derrick is 500 Kg supporting a load of 2000 Kg.
Find: (i) the force in the supporting stay
(ii) the compressive force in the derrick
7. A uniform beam AB has a single support 2 meters from A. The mass required to
balance the beam is 100 Kg applied at A. If the point of suspension is moved to a
point 2.5 meters from A and the mass required to balance the beam is reduced to 50
Kg. Find the length and the mass of the beam.
8. The minimum force required to keep a body in equilibrium when it is at the point of
sliding downwards on a inclined plane of angle º is P1 and P2 is the maximum force
that keeps the body in equilibrium in the same plane when it is at the point of sliding
upwards. If  is the Co-efficient of friction between the body and the inclined plane
and  the angle of friction. Find the ratio P1
P2
9. The distance between two railway stations is 2.5 Km. A train starts from one station
and accelerates at 1.2 m/s² until it reaches speed of 108 Km/hour. It continues to
travel at constant speed for sometime and finally retards at 1 m/s² until it reaches the
next station. Find the time taken for the entire journey.
10. A winding drum of an electric hoist is 1.5-meter diameter. The mass of the rotating
parts of the drive and drum is 1200 Kg and the radius of gyration is 0.5 meter. The
wire rope from the drum carries a load of 500 Kg. Find the total torque required to
raise the load with an acceleration of 0.6 m/s² when 200 Nm Torque is required to
overcome friction.
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