Tension of string of pendulum at lowest point

In summary, the conversation discusses using the conservation of mechanical energy to find the tension in a string that is holding a 2.5-kg object suspended from the ceiling. The object is released from rest at a 40 degree angle and the only non-conservative force acting is the tension force. The idea is to use conservation of energy to find the velocity at the bottom and then use centripetal acceleration to calculate the force of tension. The final answer is 42N.
  • #1
jack1234
133
0
I have tried the following question in direction of conservation of mechanical energy, but not sure how this related to the tension of string.

A 2.5-kg object suspended from the ceiling by a string that has a length of 2.5 m is released from rest with the string 40 below the horizontal position. What is the tension in the string at the instant the object passes through its lowest position?

How to solve this question?
 
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  • #2
You're able to use the conservation of mechanical energy because zero work is done on the object by non-conservative forces. The only non-conservative force acting is the tension force, but it acts perpendicular to the path of the object at every instant, and so it does zero work.

Does this help or are you still stuck?
 
  • #3
the idea is to use conservation of energy to get the velocity at the bottom... then use centripetal acceleration ideas to get the force of tension...
 
  • #4
I see thanks for the help:)
Ans is 42N.
 

1. What is the tension of a string of a pendulum at its lowest point?

The tension of a string of a pendulum at its lowest point is equal to the weight of the pendulum bob, as the string is at its most vertical position and there is no horizontal component of tension.

2. How is the tension of a string affected by the length of the pendulum?

The tension of a string is directly proportional to the length of the pendulum. This means that as the length of the pendulum increases, the tension in the string also increases.

3. Does the mass of the pendulum affect the tension of the string?

Yes, the mass of the pendulum does affect the tension of the string. The greater the mass of the pendulum bob, the greater the tension in the string.

4. Is there a maximum tension that a string can withstand in a pendulum?

Yes, there is a maximum tension that a string can withstand before it breaks. This is determined by the strength and material of the string.

5. How does the angle of release affect the tension of the string in a pendulum?

The angle of release does not directly affect the tension of the string in a pendulum. However, a larger angle of release will result in a longer pendulum, which in turn will increase the tension in the string.

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