The free-body diagram for the two masses:

A block with mass m_{1 }= 9.1 kg rests on the surface of a horizontal table which has a coefficient of kinetic friction of u_{k} = 0.69. A second block with a mass m_{2} = 9.5 kg is connected to the first by an ideal pulley system such that the second block is hanging vertically. The second block is released and motion occurs.

Part (a) Using the variable T to represent tension, write an expression for the sum of the forces in the y-direction, ΣFy, for block 2.

Part (b) Using the variable T to represent tension, write an expression for the sum of the forces in the x-direction, ΣFx, for block 1.

Part (c) Write an expression for the magnitude of the acceleration of block 2, a2, in terms of the acceleration of block 1, a1. (Assume the cable connecting the masses is ideal)

Part (d) Write an expression using the variables provided for the magnitude of the tension force, T

Part (e) What is the tension, T in Newtons?

Frequently Asked Questions

What scientific concept do you need to know in order to solve this problem?

Our tutors have indicated that to solve this problem you will need to apply the Systems of Objects: Basic concept. If you need more Systems of Objects: Basic practice, you can also practice Systems of Objects: Basic practice problems.