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

AI Thread Summary
The discussion centers on calculating the acceleration of a car with a 3.4 kg mass hanging at an angle of 23 degrees due to the car's acceleration. The gravitational force acting on the mass is calculated to be 31.36 N. Participants suggest using trigonometric functions to relate the forces acting on the mass to the car's acceleration. A reference frame moving with the car is recommended for simplifying the problem, particularly by considering the pseudo force experienced by the hanging mass. Understanding these concepts is crucial for solving the problem effectively.
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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