A block of mass M is held motionless on a frictionless inclined plane by means of a string attached to a vertical wall as shown in the drawing. -Assume the plane is not frictionless and the string breaks, what minimum value of the coefficient of static friction, $\mu$_s, would prevent the block from sliding down the inclined plane? A)zero B)1 C)cos $\theta$ D)sin $\theta$ E)tan $\theta$

Question

Quizplus · Accepted Answer

The minimum coefficient of static friction required to prevent the block from sliding down an inclined plane is given by $\mu_s = \tan \theta$, where $\theta$ is the angle of the incline. This is because the frictional force must balance the component of gravitational force parallel to the incline.

A Block of Mass M Is Held Motionless on a Frictionless