Posted by **Kelly Barnes** on Tuesday, September 30, 2008 at 9:47am.

A pair of fuzzy dice is hanging by a string from your rearview mirror while you are accelerating from a stoplight to 28m/s in 6.0swhat angle θ does the string make with the vertical?.

- Physics -
**Sara**, Sunday, October 2, 2011 at 10:17pm
Yea, I have the same problem except the numbers are a little different does anyone know an equation that could help?

- Physics -
**Amal**, Wednesday, November 6, 2013 at 12:48pm
Horizontal components of the forces are as follows:

T(sin Θ) = ma --- Equation 1

and the vertical components of the forces are

T(cos Θ) = mg --- Equation 2

where

T = tension in the string

Θ = angle that string makes with the vertical

m = mass of the object

a = acceleration = 28/6 = 4.667 m/sec^2

g = acceleration due to gravity = 9.8 m/sec^2 (constant)

Dividing Equation 1 with Equation 2,

T(sin Θ)/T(cos Θ) = ma/mg

and simplifying the above,

tan Θ = 4.667/9.8

tan Θ = 0.476

Θ = arc tan 0.476

Θ = 25.5 degrees

## Answer this Question

## Related Questions

physics - A pair of fuzzy dice are hanging by a string in my car from the rear-...

Physics - A pair of fuzzy dice are hanging by a string in my car from the rear-...

physics - A pair of fuzzy dice are hanging by a string in my car from the rear-...

physics-- - a bell is hanging by a string from your review mirror in the car....

physics - An object is hanging by a string from your rearview mirror.While you ...

Physics - A car with fuzzy dice hanging from the rear view mirror by a single ...

physics - A 0.0820 kg pair of fuzzy dice is attached to the rearview mirror of a...

College Physics - An 0.10 kg object is hanging from your rearview mirror. While...

Physics - Your friend's 13.9g graduation tassel hangs on a string from his ...

Physics - A car, starting from rest, accelerates down a hill reaching 30.0 m/s ...