Question

A monkey is descending from the branch of a tree with constant acceleration. If the breaking strength is 75% of the weight of the monkey, what is the minimum acceleration
with which monkey can slide down without breaking the branch.

Answer 1

Answer:

Here load on the branch due to monkey is the apparent weight under downward acceleration against the branch,so W'=m(g-a)=0.75mg.So ma=0.25mg. Hence a=0.25g.

Answer 2

Answer:

The minimum acceleration with which the monkey can slide down without breaking the branch is g/4 m/s².

Explanation:

Given: Breaking strength of branch is 75%. And, monkey is descending.

To find: The minimum acceleration with which monkey can slide down without breaking the branch.

Solution: From Newtonian laws, we have from the attached image:

                           T - mg = ma

It is given that the branch strength is 75% i.e. 3/4 of mg.

So, applying the law to the given conditions, we have:

                        mg - 3/4 mg = ma

                           g - 3/4 g = a

                               g/4 = a

Hence, minimum acceleration with which the monkey can slide down without breaking the branch is g/4 m/s².