0000EST100121902

18 a) Acar starts from rest on a curved road of radius 600m and acquires by the end of (5)
the first 60 seconds of motion a speed of 24kmph. Find the tangential and normal
acceleration at the instant, t = 30s. Also calculate the distance covered at the end
of first 30 seconds.

b) With what minimum horizontal velocity प can a boy through a rock at A and (9)
have it just clear the obstruction at B? (Fig Q18b)

A [க = 40 m =
1 1
۱
B
1
26 m
16m
1 ‏__۔ تا امم‎ ee ‏سیے۔‎
‎"+
‎Fig (൭180)
Module-V

19 a) A flywheel rotates with a constant retardation due to breaking, in the first 10 (7)
seconds, it made 300 revolutions. At t = 7.5 sec, its angular velocity was 407
rad/s. Determine

i) The value of constant retardation
ii) The total time taken to come to rest and
iil) The total revolutions made till it comes to rest
b) Two blocks of masses 10 kg and 25 kg are attached to the two ends of a flexible (7)
rope. The rope passes over a pulley of diameter 500mm. The mass of the pulley
is 7.5 kg and its radius of gyration is 200 mm. Find the acceleration of the
masses and the tension on either side of the rope.

20 a) A spring stretches by 0.015m when a 1.75kg object is suspended from its end. (7)
How much mass should be attached to the spring so that its frequency of
vibration is 3 Hz.

b) A particle has SHM. Its maximum velocity 15 6m/s and maximum acceleration is (7)
12 m/s*. Determine the angular velocity and amplitude. Also determine its
velocity and acceleration when displacement is half of the amplitude.

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