Known values:

Problem Statement:

A cart is loaded with several items as pictured. The total mass of the cart and its payload is $160$ kg $.$ Point G is the center of gravity of all items. The wheels have negligible mass.

Tip: The given value of $"$c$"$ may be more or less than the value of $"$d$."$

Under the assumption that neither wheel leaves the ground, determine the following:

Answers:

The acceleration of the cart:

$\backslash (7\mathrm{.}625\backslash$mathrm$\{$~m$\}/\backslash$mathrm$\{$s$\}^\{\backslash$wedge$\}2\backslash )$

$($positive rightward$)$

The reaction of the ground on the front wheel: $($positive upward$)$

The reaction of the ground on the rear wheel: $($positive upward$)$

Which wheel $($if either$)$ would leave the ground under these conditions?

$($If a wheel leaves the ground, you should realize that the values computed above would be physically incorrect since they were based on a bad assumption. A future lesson will address how to properly solve the problem in that case.$)$

Be sure to inc$/$ude units with your answers.