ANS:A - malleable iron

Out of the options provided, the best material capable of withstanding shock and vibration without the danger of cracking is malleable iron. Malleable iron is a type of cast iron that has been heat-treated to improve its ductility and toughness. It exhibits good shock absorption properties and is less prone to cracking under impact or vibration compared to other types of cast iron such as grey cast iron, chilled cast iron, or white cast iron. Malleable iron is often used in applications where shock resistance is important, such as in the construction of machinery components and automotive parts.