Chopper towing sensor, what is the tension?

AI Thread Summary
To find the tension in the cable towing the sensor, the equation T = mg + ma is proposed, where m is the mass of the sensor and a is the acceleration. The correct approach requires recognizing that the acceleration is horizontal, making it orthogonal to the gravitational force. A diagram can help visualize the forces acting on the sensor. The final answer for the tension is stated to be 130N, but clarification on vector addition is needed for a complete understanding. Understanding vector addition is crucial for solving such problems effectively.
broginator
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Homework Statement


A helicopter is flying at a constant altitude towing an airborn laser at 129kg. Both the chopper and the sensor move only horizontaly and have a acceleration of magnitude 2,84 m/s2. ignoring air restitance find the tension on the cable towing the sensor.

Homework Equations



The Attempt at a Solution


T= mg + ma

T=129kg x 9,8 m/s2 + 129kg x 2,84 m/s2.
this equation only work if the chopper were flying vertical.
The right answer is 130N but need to know how to get there.
 
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Try drawing a diagram and identify the forces on the "laser"
 
broginator said:
T= mg + ma
That is true as a vector equation, but if you mean as scalars then you have to worry about direction. Which way is the acceleration? Do you know how to add vectors?
 
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the acceleration is horizontal so it is orthogonal. no don't know how to ad vetors, we are having 1 chapter a day and my math skills are shitty so can't quite hold on the pace..
 
broginator said:
the acceleration is horizontal so it is orthogonal. no don't know how to ad vetors, we are having 1 chapter a day and my math skills are shitty so can't quite hold on the pace..
It's just like adding displacements that need not be in the same straight line. If you go 1m N then 2m E (not too near the poles!) how far are you from your start point?
 
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