What is the tension in string?

In summary, the conversation discusses finding T1 and T2 for a system with objects A, B, and C. The equations used are F=ma and the attempt at a solution involves finding the acceleration of the system, T1 and T2. The final solution for T2 involves removing object A and the 200N force and applying f=ma to the remaining objects.
  • #1
prakhargupta3301
58
1

Homework Statement


We have to find T1 and T2
upload_2018-6-29_12-48-6.png

From right to left objects are: A B C

Homework Equations


F=ma

The Attempt at a Solution


Okay. So I found acceleration of whole system:
F=ma
200N= (20+10+5)*a
200/35=a
a= 40/7 ms-2

Now, finding T1 is fairly simple:
f=ma
T1=5*(40/7)
T1=200/7 Newtons (Let's not reduce it right now to decimals)Now, T2. This is where the problem arises.
T2 can be calculated by the difference of the forces on object A.
f=ma
Force on A= 10kg*(40/7)
= 400/7 Newtons

T2 will be:
200-T2= 400/7
200-400/7= T2
1000/7 Newtons= T2

1000/7N= 142.75 Newtons.
Is this answer correct? Please tell me. I'm very confused.
Thank you for reading.
 

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  • #2
It is not clear from your description what A is, bit it seems to be the 10 kg mass to the right by your attempt.

prakhargupta3301 said:
200= T2- 400/7 (T2 is greater than 400/7 N but obviously lesser than 200 N)
200-400/7= T2
Apart from the fact that you made a sign error in the first that mysteriously disappeared in the second step, yes, this is a viable approach.
 
  • #3
Orodruin said:
It is not clear from your description what A is, bit it seems to be the 10 kg mass to the right by your attempt.Apart from the fact that you made a sign error in the first that mysteriously disappeared in the second step, yes, this is a viable approach.
Thanks a bunch for:
a) Replying and conforming
b) pointing out the mistakes in the query.
I have corrected them.
 
  • #4
Your method for T2 works but why not just erase mass A and the 200N force and apply f=ma to what's left.
 

What is the tension in string?

The tension in a string is the amount of force exerted on the string when it is pulled or stretched. It is measured in units of Newtons (N).

How is tension in string different from weight?

Tension in string and weight are two different concepts. Weight is the force exerted by gravity on an object, while tension in string is the force exerted on the string itself. Weight is dependent on the mass of an object, while tension is dependent on the force applied to the string.

What factors affect the tension in string?

The tension in a string is affected by several factors, including the amount of force applied to the string, the length and thickness of the string, and the material the string is made of. The type of knot used to tie the string can also impact the tension.

Why is tension in string important in science?

Tension in string is an important concept in science because it helps us understand the behavior of objects under tension. It is particularly useful in fields such as physics and engineering, where tension is often used to calculate the strength and stability of structures.

Can tension in string be measured?

Yes, tension in string can be measured using a spring scale, which measures the amount of force required to stretch the string. It can also be calculated using mathematical formulas based on the properties of the string and the force applied to it.

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