What is the acceleration of a car with a hanging mass at an angle of 23 degrees?

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SUMMARY

The discussion focuses on calculating the acceleration of a car based on the dynamics of a 3.4 kg mass hanging from a rope at an angle of 23 degrees. The gravitational acceleration is given as 9.8 m/s². The key equation used is Σf = ma, where the force acting on the mass is calculated as 31.36 N. The conversation emphasizes the importance of using a non-inertial reference frame to simplify the problem and analyze the forces acting on the mass.

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GovernorBob
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The problem states that a 3.4 kg object hangs at one end of a rope that is attached to a support on a car. The car and cruisin' and is accelerating, when it does this, the rope makes an angle of 23 degrees with the vertical. Acceleration of gravity is 9.8 m/s/s and the question is asking for the car's acceleration. A rad diagram for your visual
15432303272_773355a70a_b.jpg

Equations
Σf= ma
Probably something with trig functions (sin, cos, tan)The first thing I did was multiply the mass 3.2 kg by gravity 9.2 m/s/s
That gave me a force of 31.36N, now, how do I use this to find the cars acceleration. I just don't see a correlation.
 
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Welcome to PF GovernorBob.
Do you know what is pseudo force?
The problem will be easier to solve if you consider a reference frame which is moving with the car and visualize the motion of that hanging mass wrt to that frame.
 

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