6 C7047

parallel to BC. Also find the M.I, with respect to BC.

Fig.6
14 A uniform ladder of weight 850N and of length 6m rests on a horizontal ground (10)
and leans against a smooth vertical wall. The angle made by the ladder with the
horizontal is 65°. When a man of weight 750N stands on the ladder at a distance
4m from the top of the ladder, the ladder is at the point of sliding. Determine the
co-efficient of friction between the ladder and the floor.

SET III
Each question carries 10 marks
15 a) A cylindrical roller, 50017 in diameter, 15 in contact with two horizontal conveyor (5)
belts running at uniform speeds of Sm/s and 3m/s as shown in Fig. 7. Assuming
that there is no slip at the points of contact, determine,

i) the position of the instantaneous centre of the roller,
il) the linear velocity of the centre C, and
iii) the angular velocity of the roller.

2 5m/s 4

50cm
3m/s
B
Fig. 7

b) Determine the three parameters asked in the previous question, if the velocities of (5)
the belts are in opposite direction.

16 A mass of 60kg is supported by two springs of stiffnesses 6kN/m and 8kN/m. The (10)
springs are arranged in series. The mass is given an initial displacement of 40mm
and the released. Determine the period of vibration, the maximum velocity and
maximum acceleration.

17 8) A reciprocating pump plunger is driven by a crank of radius 30cm which is (5)
rotating at 120rpm. Assuming SHM for the plunger, find out the velocity and
acceleration of the plunger when it is at 15cm from either end of the stroke.

b) Find out the maximum force required to push the plunger in the previous (5)

question, if the mass of the plunger is 10kg.
REKK

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