Question

piles of snow on slippery roofs can become dangerous projectiles as they melt. Consider a chunk of snow at the ridge of a roof with a pitch of 30 degrees. what is the minimum value of the coefficient of static friction that will keep the snow from sliding down

Answer 1

The minimum value of the coefficient of static friction that will keep the snow from sliding down a roof with a pitch of 30 degrees is 0.577.

Step-by-step explanation:

The minimum value of the coefficient of static friction that will keep the snow from sliding down a roof depends on the angle of the roof's pitch. In this case, the pitch of the roof is 30 degrees. To find the minimum value of the coefficient of static friction, we can use the equation:

tan(θ) = μs

where θ is the angle of the pitch and μs is the coefficient of static friction. Rearranging the equation, we have:

μs = tan(θ)

Substituting θ = 30 degrees, we get:

μs = tan(30) = 0.577

Therefore, the minimum value of the coefficient of static friction that will keep the snow from sliding down the roof is 0.577.