Consider the following statements regarding friction: 1. Static friction is a self-adjusting force that increases linearly with the applied force up to a maximum limit. 2. Kinetic friction is always slightly greater than the limiting static friction because of molecular bonding. 3. The coefficient of kinetic friction depends on the area of contact between the two surfaces. Which of the statements given above is/are correct?

Options:

• A: 1 only
• B: 1 and 2 only
• C: 2 and 3 only
• D: 1, 2 and 3

Related Practice Questions:

• Let $S_1$ and $S_2$ be two disjoint, non-empty convex sets in $\mathbb{R}^n$. Under which of the following conditions is there guaranteed to exist a hyperplane that strictly separates $S_1$ and $S_2$?
• Let the primal linear programming problem be: Maximize $Z = c^T x$ subject to $Ax \le b, x \ge 0$. If this primal problem has an unbounded optimal objective value, then which of the following statements is always true regarding its dual problem?
• Let $S = \{(x, y) \in \mathbb{R}^2 \mid x^2 + y^2 \le 9\}$ be a convex set in $\mathbb{R}^2$. The set of all extreme points of $S$ is given by:
• In a linear programming problem with $3$ independent equality constraints and $5$ variables (including slack/surplus variables), what is the maximum possible number of basic solutions?