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A monkey of mass 40 kg climbs on a rope (fig) which can stand a maximum tension of 600 N. In which of the following case 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)

Answer» <html><body><p></p>Solution :(a) When the monkey climbs up with an acceleration of `6 ms^(-<a href="https://interviewquestions.tuteehub.com/tag/2-283658" style="font-weight:bold;" target="_blank" title="Click to know more about 2">2</a>)`, the tension in the <a href="https://interviewquestions.tuteehub.com/tag/rope-1191046" style="font-weight:bold;" target="_blank" title="Click to know more about ROPE">ROPE</a> is<br/>`T=m(g+a)=40(9.8+60=632 N`<br/>It is greater than breaking strength (600 N).<br/> So the rope breaks.<br/>(b) When the monkey climbs up withan acceleration of `<a href="https://interviewquestions.tuteehub.com/tag/4-311707" style="font-weight:bold;" target="_blank" title="Click to know more about 4">4</a> ms^(-2)`, the tension in the rope is<br/>`T=m(g+a)=40(9.8+4)=552N`<br/>It is smaller than breaking strength (600 N). So the rope does not break.<br/>(c ) When the monkey climbs up with an uniform speed of `5 ms^(-1)`, the tension in the rope is<br/>`T=m(g)=40(9.8)=<a href="https://interviewquestions.tuteehub.com/tag/392-1861291" style="font-weight:bold;" target="_blank" title="Click to know more about 392">392</a> N`<br/>It is smaller than breaking strength (600 N). So the rope does not break.<br/>(d) When the monkey falls down the rope nearly freely under gravity then the tension is almost zero. So the rope does not break.</body></html>


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