Question
Two weights w1 and w2 are suspended to the two strings on a frictionless pulley. When the pulley is pulled up with an acceleration g, then the tension in the string is :
Solution
A.
Equation of motion for first weight
This is a frictionless and inextensible pulley.
for first weight
T - m1g = m1 ( a - g)
⇒ T - 2m1 g = m1a
For second weight
m2g -T = m2 ( a - g)
2 m2 g - T = m2 a
on solving equations (1) & (2)