The problem that follow involve straight-line motion. The time t is in seconds unless othe...

The problem that follow involve straight-line motion. The time t is in seconds unless otherwise stated.

Problem

The needle of a measuring instrument is connected to a torsional spring that gives it an angular acceleration α = –4θ rad/s2, where θ is the needle's angular position in radians relative to a reference direction. The needle is given an angular velocity ω = 2 rad/s in the position θ = 0.

(a) What is the magnitude of the needle's angular velocity when θ = 30°?

---

(b) What maximum angle θ does the needle reach before il rebounds?