An object is hanging by a string from your rearview mirror.?

SOMEONE ASKED 👇

An object is hanging by a string from your rearview mirror.?

HERE THE ANSWERS 👇

• Horizontal components of the forces are as follows:

  T(sin Θ) = ma — call this Equation 1

  and the vertical components of the forces are

  T(cos Θ) = mg — call this Equation 2

  where

  T = tension in the string

  Θ = angle that string makes with the vertical

  m = mass of the object

  a = acceleration = 25/5.7 = 4.386 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 = 4.386/9.8

  tan Θ = 0.4475

  Θ = arc tan 0.4475

  Θ = 24.1 degrees

  Hope this helps.

• Hangin On A String