Applying Newton's Second Law - Example Problem 5.6-6

 

A particle m is suspended in a rigid container by two relatively light, inextensible strings. A force is applied to the container so that its speed increases at a constant rate in the direction indicated in the figure. Under this constant acceleration, a, the tension in string CD is three times greater than the tension in string AB. Determine both the acceleration a and the tension in string AB.

 

 

Given:

• a = constant
• T_CD = 3T_AB

 

Find:

• T_AB
• a

 

Video solution:

 

The following video walks you through the solution to this problem. It is suggested that you try solving the problem first and then, if you have difficulties with the solution, watch the video for help.

 

 

Interactive solution:

 

Draw a free-body diagram of the particle. Click on the figure to see the free-body diagram.

 

What is the particle's equation of motion in the y-direction?

 

T_CD = mg/(4sinθ)
T_AB = mg/(4cosθ)
T_AB = mg/(4sinθ)