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 climbs up with an acceleration of 6 m s⁻²
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( i ) When the monkey climbs up with an acceleration of a = 6 m/s², the tension T in the string must be greater than the weight of the monkey.
T - mg = ma
T = m ( g + a )
T = 40 ( 10 + 6 )
T = 640 N.
⏺️As the tension in this case is greater than the maximum permissible tension ( 600 N ), so the rope will BREAK in this case.
( i ) When the monkey climbs up with an acceleration of a = 6 m/s², the tension T in the string must be greater than the weight of the monkey.
T - mg = ma
T = m ( g + a )
T = 40 ( 10 + 6 )
T = 640 N.
⏺️As the tension in this case is greater than the maximum permissible tension ( 600 N ), so the rope will BREAK in this case.
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