Slipping Stack Acceleration

MediumstaticsPhysElo Quiz #8Solved by 4

A small block of mass

m

is placed on top of a long block of mass

M

, which in turn rests on a frictionless horizontal floor. The coefficient of static friction between the two blocks is

\mu_s

, and the coefficient of kinetic friction is

\mu_k

, with

\mu_k < \mu_s

. Initially, the system is at rest. A horizontal force

F(t) = ct

, where

c

is a positive constant and

t

is time, is applied to the top block. Which of the following best describes the magnitude of the acceleration of the bottom block as a function of time?

Your answer

AIt increases linearly from zero, then abruptly drops to a lower positive constant value and remains constant.

BIt increases linearly from zero, then abruptly jumps to a higher positive constant value and remains constant.

CIt increases linearly from zero, then abruptly jumps to a higher value and continues to increase linearly with a steeper slope.

DIt increases linearly from zero, then abruptly drops to a lower value and continues to increase linearly with a shallower slope.

EIt remains zero until a threshold time, then abruptly jumps to a positive constant value.

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