A0.31 kg cart on a horizontal frictionless track is attached to a string. the string passes over a disk-shaped pulley of mass 0.08 kg and radius 0.012 m and moves without slipping. the string is pulled vertically downward with a constant force of 1.1 n. find (a) the tension in the string between the pulley and the cart.

To solve this problem it is necessary to apply the concepts related to Newton's second law and its derived expressions for angular and linear movements.

Our values are given by,

If we carry out summation of Torques on the pulley we will have to,

Where,

I = Inertia moment

Angular acceleration, which is equal in linear terms to a/r (acceleration and radius)

The moment of inertia for this object is given as

Replacing this equations we have know that

Or

Replacing our values we have that

Therefore the tension in the string between the pulley and the cart is  0.974 N

can u provide the graph and if its not possible

then i can tell u the segment where the

average time interval starts degrading is the segment where the car is slowing down