Question

If two bodies are passing over a pulley attached with the ends of thread if both the bodies are static not moving downward or upward then tension would be _______ to weight.
Greater
Smalller
Equal
None of the above

Answer 1

Let a be the acceleration of the system.

for mass M, Ma=Mg−T.....(1)

for mass m, ma=T−mg.....(2)

(1)×m,(2)×M,

Mma=Mmg−mT.....(3)

Mma=MT−Mmg.....(4)

(3)−(4),0=2Mmg−(M+m)T

T=  

(M+m)

2Mmg

​  

=  

M

2Mmg

​  

=2mg  (M+m∼M as M>m)