Calculate the maximum acceleration of a moving car so that a body lying on the floor of the car rema

Question

Calculate the maximum acceleration of a moving car so that a body lying on the floor of the car remains stationary. The coefficient of static friction between the body and the floor is $0.4\left(g=10 \mathrm{~m} \mathrm{s}^{-2}\right)$

Professor PC Thomas Classes · Answer

The pseudo force acting on the body must be balanced by the maximum static friction: $ma_{max} = \mu_s mg$. Thus, $a_{max} = \mu_s g = 0.4 	imes 10 = 4.0 \mathrm{~m/s}^2$.