The Displacement of an Object Oscillating on a Spring Is $\omega$

question 51

Multiple Choice

The displacement of an object oscillating on a spring is given by x(t) = x_mcos( $\omega$ t + $\phi$ ) . If the object is initially displaced in the negative x direction and given a negative initial velocity, then the phase constant $\phi$ is between:

• A) 0 and \(\pi\)/2 radians
• B) \(\pi\)/2 and \(\pi\) radians
• C) \(\pi\) and 3 \(\pi\)/2 radians
• D) 3 \(\pi\)/2 and 2 \(\pi\) radians
• E) none of the above (\(\phi\) is exactly 0, \(\pi\)/2, \(\pi\), or 3 \(\pi\)/2 radians)

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Definitions:

Preoperational Stage

In Piaget’s theory, the second major stage of cognitive development, in which symbolic thought expands but children cannot yet use logic.

Sensorimotor Stage

This is the first stage of Jean Piaget's theory of cognitive development, where infants learn about the world through their senses and actions.

Concrete Operations

A stage in Piaget's theory of cognitive development where children aged 7-11 start thinking logically about concrete events but still struggle with abstract concepts.

Formal Operations

A stage in Piaget's theory of cognitive development (beginning around age 12) where individuals develop the ability to think about abstract concepts and logically test hypotheses.