Tension and Newton's second law

In summary, a 7kg mass is released from rest with a 1.5m long massless string displaced at an angle of 18 degrees from vertical. A free body diagram is made to find the forces on the mass and the tension in the string. The tension and force of gravity are in opposite directions, resulting in the equation Tcos18 - 68.6 = ma. The initial acceleration of the mass is assumed to be zero since the tension is not causing the mass to move and is only balancing out the force of gravity.
  • #1
Touran Khan
16
2

Homework Statement


A 7kg mass is hung from a 1.5 m long massless string. It is released from rest with the string displaced by
an angle of 18 degrees from vertical.
a) Make a free body diagram of the forces on the mass just after it is released.
b) Find the tension in the string.
c) Find the initial acceleration of the mass.

Homework Equations


F = ma

The Attempt at a Solution



b) Fy: Tcos18 - 68.6 = ma

Does ay = 0? And if it does then why exactly? Is it just cause they want the tension at that point so the object is not assumed to be moving?

However there will be an ax value right?

Thanks.
 
Physics news on Phys.org
  • #2
In which direction does the tension act just after the mass is released? (What is the string actually accomplishing in this system?)
 
  • #3
olivermsun said:
In which direction does the tension act just after the mass is released? (What is the string actually accomplishing in this system?)
 

Attachments

  • 1476325638168-1417969691.jpg
    1476325638168-1417969691.jpg
    18.5 KB · Views: 381
  • #4
That is the diagram I made. Tension and Fg are in opposite directions which is how I got Tcos18 - 68.6 = ma
 
  • #5
According to your diagram, Tension and Fg are not exactly in opposite directions. Just kind of.
 

What is tension?

Tension is a force that occurs when an object is being pulled or stretched in opposite directions. It is a type of force that occurs in ropes, strings, and other flexible materials.

What is Newton's second law?

Newton's second law, also known as the law of acceleration, states that the acceleration of an object is directly proportional to the net force acting on it and inversely proportional to its mass.

How does tension relate to Newton's second law?

Tension is one of the forces that can act on an object and affect its acceleration according to Newton's second law. If an object is experiencing a tension force, it will accelerate in the direction of the net force.

What is the difference between tension and compression?

Tension and compression are two types of forces that can act on an object. Tension occurs when an object is being pulled or stretched, while compression occurs when an object is being pushed or squeezed. Both of these forces can affect an object's acceleration according to Newton's second law.

How can tension be calculated?

Tension can be calculated using the formula T = mg + ma, where T is the tension force, m is the mass of the object, g is the acceleration due to gravity, and a is the object's acceleration. This formula is derived from Newton's second law.

Similar threads

  • Introductory Physics Homework Help
Replies
13
Views
544
Replies
44
Views
1K
  • Introductory Physics Homework Help
Replies
10
Views
3K
  • Introductory Physics Homework Help
Replies
4
Views
1K
  • Introductory Physics Homework Help
Replies
16
Views
1K
  • Introductory Physics Homework Help
Replies
13
Views
970
  • Introductory Physics Homework Help
Replies
7
Views
3K
  • Introductory Physics Homework Help
Replies
3
Views
1K
  • Introductory Physics Homework Help
Replies
8
Views
1K
  • Introductory Physics Homework Help
Replies
5
Views
1K
Back
Top