Two monkeys move up with constant accelerations along either...

Two monkeys move up with constant accelerations along either part of a light inextensible rope passing over a hori- zontal branch of a tree. The heavier monkey is moving up; its acceleration is $\frac{\mathrm{g}}{4}$ and their relative acceleration is $\frac{\mathrm{g}}{2}$. The ratio of the masses of the monkeys (larger: smaller) is (a) $\frac{7}{5}$ (b) $\frac{8}{3}$ (c) $\frac{3}{2}$ (d) $\frac{4}{3}$

Two monkeys move up with constant accelerations along either part of a light inextensible rope passing over a hori-
zontal branch of a tree. The heavier monkey is moving up; its acceleration is $\frac{\mathrm{g}}{4}$ and their relative acceleration is $\frac{\mathrm{g}}{2}$.
The ratio of the masses of the monkeys (larger: smaller) is
(a) $\frac{7}{5}$
(b) $\frac{8}{3}$
(c) $\frac{3}{2}$
(d) $\frac{4}{3}$

Labs

Want to see this concept in action?

NEW

Explore this concept interactively to see how it behaves as you change inputs.

View Labs

Key Concepts

Newton's Second Law

Newton's Second Law states that the net force acting on an object is equal to the mass of the object multiplied by its acceleration. This principle is fundamental in analyzing the forces acting on each monkey, as it allows for setting up equations of motion that equate the gravitational force and the net upward acceleration for each mass.

Systems with Inextensible Strings

In a system where objects are connected by an inextensible string, the motion of one object directly influences the motion of the other. This constraint implies that the accelerations, displacements, and forces are interdependent, and the tension in the string is the same on both sides. Analyzing such systems requires understanding how the inextensibility of the connection affects the dynamics of the system.

Relative Acceleration

Relative acceleration is the acceleration of one body as observed from the frame of reference of another body. In this problem, the given relative acceleration between the monkeys is crucial for linking their individual accelerations and setting up the relationship between their masses. It helps in comparing the effect of the net forces acting on the heavier and lighter monkeys.

Transcript

Please give Ace some feedback