Find car's acceleration based on a die's angle

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SUMMARY

The discussion focuses on calculating a car's acceleration based on the deflection of a fuzzy die hanging from the rearview mirror at an angle of 15 degrees. The die's mass is specified as 250 grams. Participants identified errors in the initial calculations, particularly regarding the forces acting on the die and the use of angles in trigonometric functions. The correct approach involves applying basic force equations and trigonometry to derive the car's acceleration accurately.

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Homework Statement


A fuzzy die hanging from a string of a car's rear view mirror is deflected 15 degrees from the vertical. what is the car's acceleration if the die's mass is 250g


Homework Equations


basic forces equations
trig


The Attempt at a Solution



attempt attached as a .png
 

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PhysicslyDumb said:

Homework Statement


A fuzzy die hanging from a string of a car's rear view mirror is deflected 15 degrees from the vertical. what is the car's acceleration if the die's mass is 250g

Homework Equations


basic forces equations
trig

The Attempt at a Solution



attempt attached as a .png

Homework Statement


Homework Equations


The Attempt at a Solution


You have an error in Fx ?

if that is a triangle with a 15o angle, then the opposite side is not what you said - much smaller. The hypotenuse isn't that big either ?

Other than that, your reasoning is good.

EDIT: looks like you used 20o
 
PeterO said:
You have an error in Fx ?

if that is a triangle with a 15o angle, then the opposite side is not what you said - much smaller. The hypotenuse isn't that big either ?

Other than that, your reasoning is good.

EDIT: looks like you used 20o

ahh right, the calculations are wrong, but is the method right?
 

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