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Get Answers to all your Questions
Q5.33 A monkey of mass 40 kg climbs on a rope (Fig. 5.20) which can stand a maximum tension of 600 N. In which of the following cases will the rope break: the monkey
(a) climbs up with an acceleration of 6 m s-2
(b) climbs down with an acceleration of 4 m s-2
(c) climbs up with a uniform speed of 5 m s-1
(d) falls down the rope nearly freely under gravity?
(Ignore the mass of the rope).
Answers (1)
Given that Tmax = 600 N.
(a) Acceleration of 6 m s-2 in the upward direction:-
Using Newton's law of motion we can write :
or
Thus rope will break.
(b) Acceleration of 4 m s-2 in a downward direction:-
Using Newton's law of motion we can write :
or
Thus the rope will not break.
(c) Upward with a constant speed of 5 m/s:-
Since speed is constant thus acceleration is 0.
or
Thus the rope will not break.
(d) Acceleration is due to gravity (in a downward direction):-
Using Newton's law :
or
Thus the rope will not break.
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