If you draw the free body diagram for the 2kg book.
The equation is incorrect.
If your pulley has no mass or is frictionless, then .
However, this is not the case, so there is some inertia in the pulley.
is the torque on the pulley.
A 2kg textbook rests on a frictionless, horizontal surface. A cord attached to the book passes over a pulley whose diameter is 0.15m, to a hanging book with mass 3kg. The system is released from rest, and the books are observed to move 1.2m in 0.8s.
My solution so far:
using constant acceleration formula
For the hanging part:
(rounded) This agrees with my textbook
however for the horizontal tension in the cord
I make it
however the answer in my textbook is 7.5 which would suggest
where has the force gone?
Have I missed out a force
Also how can you have different tensions in the cord surely it would snap?
If you draw the free body diagram for the 2kg book.
The equation is incorrect.
If your pulley has no mass or is frictionless, then .
However, this is not the case, so there is some inertia in the pulley.
is the torque on the pulley.
Tension is just a force, it can be balanced by other forces such as friction.
Think about dragging a really long heavy chain on the ground.
The front link of the chain has the most tension and friction.
The back link of the chain may have only a little tension and a little friction.
However, you are right, the net acceleration at each link must be the same (if it has fixed length).