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We regard first M and m forming a single system.
Then,applying Newton’s second law,
we have
(M+m) a=F ……………(1)
Let F be applied on M.
From free body diagram of M
we have
following equation.
Ma=F-T………………….(2)
Therefore, T=F-Ma .
Substituting for a from Eq.(1),
we get,
T=F-M(F/M+m)=Fm/M+m…………(3).
This tension is the force on m.
Then, writing Eq. Of motion for m,
ma=T=Fm/(M+m).
But if we assume the force F applied on m then
the tension will be T=FM/(M+m).
Then,applying Newton’s second law,
we have
(M+m) a=F ……………(1)
Let F be applied on M.
From free body diagram of M
we have
following equation.
Ma=F-T………………….(2)
Therefore, T=F-Ma .
Substituting for a from Eq.(1),
we get,
T=F-M(F/M+m)=Fm/M+m…………(3).
This tension is the force on m.
Then, writing Eq. Of motion for m,
ma=T=Fm/(M+m).
But if we assume the force F applied on m then
the tension will be T=FM/(M+m).
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