A wooden crate is at rest on a wooden ramp.(µ_s = 0.50;µ_k = 0.20;g = 9.8 m/s²).Find the angle $\theta$ of the ramp for which the crate will start sliding down the ramp. A)26.6 $\circ$ B)63.4 $\circ$ C)32.6 $\circ$ D)57.4 $\circ$ E)45.0 $\circ$

Question

Quizplus · Accepted Answer

The formula to find the angle of inclination at which an object on an inclined plane will start sliding is:
tan(θ) = μS
Where θ is the angle of inclination, and μS is the coefficient of static friction.
Plugging in the given values, we get:
tan(θ) = 0.5
θ = tan^-1(0.5) = 26.6°
Therefore, the crate will start sliding down the ramp at an angle of 26.6°, which corresponds to choice A.

A Wooden Crate Is at Rest on a Wooden Ramp θ\thetaθ

A Wooden Crate Is at Rest on a Wooden Ramp $\theta$