23) The atwood machine has a third mass attached to it by a slack (light) string. After being released, the 2m mass falls a distance y = m before the slack string becomes taut. Just after the slack string becomes taut the speed of masses is . Find X. (Assume that pulley is ideal and take acceleration due to gravity = g)
Dear student,
when the string was slack,
accelaration of the 2m and m blocks = (2mg-mg)/3m
=g/3
distance=8/3 m
now, just after the string becomes taught, we can see by force analysis that external force on the system (of 3 blocks) is zero
hence the system moves with constant speed from now on.
thus x=4/3
Regards
when the string was slack,
accelaration of the 2m and m blocks = (2mg-mg)/3m
=g/3
distance=8/3 m
now, just after the string becomes taught, we can see by force analysis that external force on the system (of 3 blocks) is zero
hence the system moves with constant speed from now on.
thus x=4/3
Regards