Question

At what minimum acceleration should a monkey slide a rope whose breaking strength is 2/3rd of its weight?

Answer 1

Heya........!!!!!!

_____________________________________________________________

Question:-
~~~~~~~~~

At what minimum acceleration should a Monkey slide a rope whose breaking
Strength is2/3 rd of its weight?

Answer
~~~~~~~~
Assume
m be the mass of monkey. So weight = mg />
a be the minimum acceleration of monkey sliding the rope

t be the tension in the rope

By Newton's 3rd law, the net force on monkey can be

F = Weight of monkey — tension in rope

So, F = mg - t where g is the gravitational force.

So the. , tension on an object = (mass of the object x gravitational force)

i.e., t = mg + ma = m(g-a)

(If object is accelerating downwards then the downward force is +ve & upward )

tension is given as 2/3rd of monkey's weight. Sowe can substitute t in the above equation, we get,

(2/3) x mg = m(g - a)
Therefore g=a/3

_____________________________________________________________

Hope it helps

Answer 2

Let a be the acceleration of monkey.

The apparent weight =mg−ma=2mg/3

or ma=mg(1−2/3)=mg/3⇒a=g/3