B2B109 Pages: 3

SET 111

Each question carries 10 marks.

15. a. A lift is ascending with an acceleration of 0.6m/sec?.A man holds a spring balance
from which a parcel weighing 13.6 N is hung. What will be the reading in the spring
balance? (3)

0, The crank ‘OA’ of a reciprocating engine mechanism is of length 15 cm and
rotating at 600 rpm. The connecting rod ‘AB’ is 70cm long. Find the (1) angular
velocity of the connecting rod, (11) velocity of the piston “18” and (111) the velocity ata
point °C’ on the connecting rod at a distance 50cm from the piston end when the
crank makes an angle 45°. (7)

a. In a system the amplitude of the motion is 1.6m and time period is 4 sec. find the
time required for the particle in passing between points which are at a distance of
1.2m and 0.6m from the centre of force and are on the same side of it. (7)

b. A roller of radius 12 cm rides between two horizontal bars moving in opposite
directions with velocities 2.88 m/sec and 1.92 m/sec. Calculate the distance defining
the position of the path of the instantaneous centre of rotation of the roller. Assume no

16.

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slip at points of contacts. (3)
17. a. A tray of mass ‘m’ is mounted on three identical springs as shown. The period of
vibration of empty tray is 0.5 sec. After placing a mass of 1.5 kg on the tray, the
period was observed to be 0.6 sec. Find the mass of the tray and stiffness of each
spring. (5)

b. A body performing simple harmonic motion completes 8 oscilations in one minute.
The velocity of the body is half the maximum velocity at a distance of 12 cm from the
centre. Determine the amplitude and maximum acceleration. (5)

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