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AP EAMCET Engineering 2018 Apr 24 Shift 1 Paper
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© examsnet.com
Question : 85
Total: 160
One end of a light string is fixed to a clamp on the ground and the other end passes over a fixed frictionless pulley as shown in the figure. It makes an angle of 30° with the ground. The clamp can tolerate a vertical force of 40 N. If a monkey of mass 5 kg were to climb up the rope then the maximum acceleration in the upward direction with which it can climb safely is (g = 10
m
s
−
2
)
2
m
s
−
2
4
m
s
−
2
6
m
s
−
2
8
m
s
−
2
Validate
Solution:
Consider the figure,
The force equilibrium equation is,
T
sin
30
°
=
40
T
=
80
N
The free body diagram of monkey is shown below,
The force equilibrium equation is,
T
−
m
g
=
m
a
Substitute values.
80
−
(
5
)
(
10
)
=
(
5
)
a
a
=
6
m
∕
s
2
© examsnet.com
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