A block is at rest on a rough inclined plane and is connected to an object with the same mass as shown. The rope may be considered massless; and the pulley may be considered frictionless. The coefficient of static friction between the block and the plane is μs; and the coefficient of kinetic friction is μk. -If the rope were cut between the block and the pulley, what would be the magnitude of the acceleration of the block down the plane? A)g B)g - $\mu$_k sin $\theta$ C)g - $\mu$_k cos $\theta$ D)g(tan $\theta$ - $\mu$_k sin $\theta$) E)g(sin $\theta$ - $\mu$_k cos $\theta$)

Question

Quizplus · Accepted Answer

When the rope is cut, the block will slide down the inclined plane with acceleration due to gravity and friction. The net acceleration is given by the component of gravitational acceleration down the plane minus the frictional force, which is $g(sin \theta - \mu_k cos \theta)$.

A Block Is at Rest on a Rough Inclined Plane μ\muμ

A Block Is at Rest on a Rough Inclined Plane $\mu$