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Theory of Machines Miscellaneous

  1. In a cam-follower mechanism, the follower needs to rise through 20 mm during 60° of cam rotation, the first 30° with a constant acceleration and then with a deceleration of the same magnitude. The initial and final speeds of the follower are zero. The cam rotates at uniform speed of 300 rpm. The maximum speed of the follower is
    1. 0.60 m/s
    2. 1.20 m/s
    3. 1.68 m/s
    4. 2.40 m/s
Correct Option: D

ω =
2πN
= 10π
60

Time taken to move 30°
(π / 180)
× 30 =
(π / 6)
=
1
s
ω10π60

During this period follower move 20 mm = .02 m and u = 0
From s = ut +
1
at2
2

0.02 =
1
× a ×
1
2
260

a = 144 m / sec2
v = 0 + 144 ×
5
= 2.4 m / sec
300




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