Chapter 4, Problem 77GP

To determine

The maximum angle for the ramp.

Answer to Problem 77GP

The maximum angle of the ramp is $3.9°$ .

Explanation of Solution

Given info:

The maximum force on the ramp is, $F=20\text{N}$

The mass of the grocery cart is, $m=30\text{kg}$

Formula Used:

The expression to calculate the maximum angle of the ramp is,

  $\sin \theta =\frac{F}{mg}$

Calculation:

Substitute all the values in the above expression.

  $\begin{array}{c}\sin \theta =\frac{20\text{N}}{\left(30\text{kg}\right)\left(9.8\text{m}/{\text{s}}^2\right)}\\ \theta =3.9°\end{array}$

Conclusion:

Thus, the maximum angle of the ramp is $3.9°$ .