- #1
Mr.Y
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I am having a lot of difficulty understanding this concept.
Suppose you have two objects A,B of mass A',B' connected by a massless rope. Let K Newtons be the force applied on object A .What is now the tension along the rope ?
-My reasoning:
K Newtons is the force applied to the combination of masses A'+B' ,now to find the tension along the rope we have to find the forces acting on the rope.
Applying a force to object A we have by Newton's third that F (AR)=-F(RA) where AR denotes the force of A on the rope and viceversa.
Similarly, F(BR)=-F(RB) .
So the forces acting on the ropes are -F(RA)-F(RB)=F(BR)+F(AR) ,since the rope is massless I have that F(BR)=F(AR) so I just need to find one of these two forces to find the tension.
Now this is the part that's really confusing to me :we could have also found the tension by setting up the equation K-T=F(AR) ,where T denotes the tension. So solving the last equation we find the tension along the rope,but why ?
Can you give me both an intuitive argument and also show me where this follows from just mathematical formalism ? (I hope I am not asking too much )
Suppose you have two objects A,B of mass A',B' connected by a massless rope. Let K Newtons be the force applied on object A .What is now the tension along the rope ?
-My reasoning:
K Newtons is the force applied to the combination of masses A'+B' ,now to find the tension along the rope we have to find the forces acting on the rope.
Applying a force to object A we have by Newton's third that F (AR)=-F(RA) where AR denotes the force of A on the rope and viceversa.
Similarly, F(BR)=-F(RB) .
So the forces acting on the ropes are -F(RA)-F(RB)=F(BR)+F(AR) ,since the rope is massless I have that F(BR)=F(AR) so I just need to find one of these two forces to find the tension.
Now this is the part that's really confusing to me :we could have also found the tension by setting up the equation K-T=F(AR) ,where T denotes the tension. So solving the last equation we find the tension along the rope,but why ?
Can you give me both an intuitive argument and also show me where this follows from just mathematical formalism ? (I hope I am not asking too much )