A `30 kg` mass is intially at rest on floor of a truck . The coefficient of static friction between the mass and the floor of truck in `0.3` and coefficient of kinetic friction is `0.2` . Intially the truck is travelling due east at constant speed.Find the magnitude and direction of the friction force acting on the mass , if : (take `g = 10 m//s^(2))`
(a) the truck acdceleration at `1.8 m//s^(2)` eastward
(b) the truck acdceleration at `3.8 m//s^(2)` westward

Explanation

To solve the problem, we need to analyze the two scenarios given:

1. When the truck accelerates eastward at \(1.8 \, \text{m/s}^2\).
2. When the truck accelerates westward at \(3.8 \, \text{m/s}^2\).

### Given Data:
- Mass (\(m\)) = \(30 \, \text{kg}\)
- Coefficient of static friction (\(\mu_s\)) = \(0.3\)
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