Consider the spring-cart system of Figure 15.1 again. The cart is pulled away from its equilibrium position in the positive \(x\) direction and then released at \(t=0\).

(a) What is the initial phase of the cart's oscillation? What is the phase of the cart's oscillation 

(b) half a period later and 

(c) one period later? What are the cart's initial phases in the following two situations?

(d) The cart is at its equilibrium position when, at \(t=0\), it is given a sharp blow in the negative \(x\) direction so that it starts oscillating.

(e) The cart is first pulled back a distance \(d\) in the positive \(x\) direction, and then at \(t=0\) it is given a sharp blow, also in the positive \(x\) direction, so that it carries out an oscillation of amplitude \(A=2 d\).

Data from Figure 15.1

Transcribed Image Text:

spring at equilibrium Spring is compressed. ... and released.