In an ideal Atwood machine

PHYSICS · Multi-part · AP · Physics 1: Algebra-based · Force and Translational Dynamics · Force and Translational Dynamics

Problem

In an ideal Atwood machine, a

3.0\,\text{kg}

mass is connected by a light, inextensible string over a frictionless pulley to a second mass

m

. When released, the

3.0\,\text{kg}

mass is observed to accelerate downward at

0.50\,\text{m}\,\text{s}^{-2}

. (i) Determine the value of

m

. (ii) Find the tension in the string during the motion.