determine the tension on the string & acceleration of the 2 masses:3kg mass on an inclined plane 60 degrees to the horizonatal connected to a dangling 12kg mass.

2 Answers | Add Yours

jeew-m's profile pic

jeew-m | College Teacher | (Level 1) Educator Emeritus

Posted on

For the above answer it is considered that the friction is negligible.

jeew-m's profile pic

jeew-m | College Teacher | (Level 1) Educator Emeritus

Posted on

The situation can be explained as follows.

Since the 12kg is dangling and it's weight is more it will drag the 3kg mass along the inclined plane.

Let us say the acceleration of the masses is 'a' and tension of the string is T. The weights of the masses will also affect while accelerating.

Using Newton's second law of motion;

F = ma to 3kg mass to its direction of motion

3gcos30+T = 3*a ----(1)

F = ma to 12kg mass to its direction of motion

12g-T = 12*a ----(2)

 

(1)+(2)

3gcos30+12g = 15*a

                  a = 9.55m/s^2

 

Then T = 12g-12a =  3.15N

 

So the tension on the string is 3.15N and the acceleration is 9.55m/s^2.

 

We’ve answered 318,990 questions. We can answer yours, too.

Ask a question