-->

Laws Of Motion

Question
CBSEENPH11026131

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 :

  • 4 w1w2w1 + w2

  • w1w2w1 + w2

  • 2 w1 w2w1 w2

  • w1 + w22

Solution

A.

4 w1w2w1 + w2

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 mg - T = m2 a

on solving equations (1) & (2)

T =4 m1 m2m1 + m2T = 4 m1 m2w1 + w2