Noninertial Frames of Reference Question

AI Thread Summary
A mass of 2 kg on a horizontal table in a truck experiences a 6 N downward force while the truck accelerates in the positive x-direction, causing the string to make a 20-degree angle. The observer in the truck perceives this angle as a result of the noninertial frame of reference due to the truck's acceleration. The calculations suggest that the truck's acceleration is approximately 0.35 m/s², but the original poster is uncertain about this result. Clarification is sought regarding the force dynamics and the string's orientation in relation to the mass. Understanding these concepts is crucial for solving the problem accurately.
scintillate10
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Homework Statement


A mass of 2 kg lies on a horizontal table that is placed in the back of a truck. The mass is held in position by a string and a force of 6 N acts on it in the -y direction. The truck then accelerates in the +x direction. As a result, an observer in the truck sees that the string holding the mass on the table makes an angle of 20 degrees with respect to its initial orientation. What is the acceleration of the truck? Describe what the observer in the truck sees and how he might interpret his observations.


Homework Equations



http://physics-help.info/physicsguide/mechanics/noninertial_mechanics.shtml
I used this site as a guide

The Attempt at a Solution


I said m = 2 kg
F = mg sin theta - 6 N
and that is equal to 6.7 N
F_a = -m(a_o)

so then i did
m(a) = F + F_a
i got a_o = 0.35 m/s^2

but I'm not sure at all if that is right
could someone please explain this problem to me ? Thanks so much! ^.^
 
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