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 . 15 g = 10 m s - 2

Question

Aicharya · Accepted Answer

When the body remains stationary on the floor of the car, let's consider the following free-body diagram of the body:

The formula to calculate the Newtonian force on the body is given by

$F = m a_{\max} . . . (1)$

And, the frictional force on the body by the surface of the car is given by

$f = μ_{s} m g . . . (2)$

Equate equations (1) and (2) and simplify to obtain the required maximum acceleration of the car.

$\begin{array}{rcl} m a_{\max} & = & μ_{s} m g \\ \Rightarrow & a_{\max} = μ_{s} g . . . (3) \end{array}$

Substitute the values of the known parameters into equation (3) to calculate the required parameter.

$\begin{array}{rcl} a_{\max} & = & 0.15 \times 10 m s^{- 2} \\ = & 1.5 m s^{- 2} \end{array}$

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

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