Two masses m1 and m2 are attached to a string which pass...

Two masses $m_1$ and $m_2$ are attached to a string which pass over a frictionless fixed pully. Given that $m_1=10$ $\mathrm{kg}$ and $m_2=6 \mathrm{~kg}$ and $\mathrm{g}=10 \mathrm{~ms}^{-2}$. What is the acceleration of the masses? (a) $2.5 \mathrm{~ms}^{-2}$ (b) $5 \mathrm{~ms}^{-2}$ (c) $20 \mathrm{~ms}^2$ (d) $40 \mathrm{~ms}^{-2}$

Two masses $m_1$ and $m_2$ are attached to a string which pass over a frictionless fixed pully. Given that $m_1=10$ $\mathrm{kg}$ and $m_2=6 \mathrm{~kg}$ and $\mathrm{g}=10 \mathrm{~ms}^{-2}$. What is the acceleration of the masses?
(a) $2.5 \mathrm{~ms}^{-2}$
(b) $5 \mathrm{~ms}^{-2}$
(c) $20 \mathrm{~ms}^2$
(d) $40 \mathrm{~ms}^{-2}$

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 establishes that the net force on an object is equal to the product of its mass and acceleration (F = ma). This principle is essential for formulating the equations of motion in systems involving multiple interconnected bodies, where forces acting on each mass must be accounted for to determine the resulting acceleration.

Atwood Machine

The Atwood machine is a classic physics problem that involves two masses connected by a string over a frictionless pulley. It serves as a fundamental example for studying the dynamics of systems under gravity, illustrating how the difference in gravitational forces acting on the two masses leads to acceleration.

Tension in the String

In an idealized system with a frictionless and massless pulley, the tension in the string remains constant on both sides. This uniform tension simplifies the analysis, allowing us to set up balanced equations for each mass and solve for the acceleration of the system.

Transcript

Please give Ace some feedback