spring? Be sure to specify what condition(s) allow you to use the method that yo

Question

spring? Be sure to specify what condition(s) allow you to use the method that you have chosen. Think back to the lady/gentleman bug question that we did in class. Imagine that the disk that the gentleman bug (m=.001kg) is standing on is very light compared to the gentleman bug (think of this as a massless disk with radius R=10 cm). The lady bug is has flown off because she was annoyed with the gentleman bugs constant discussion of the awesome physics involved in their situation. The gentleman bug is standing on the disk at R/2 and the disk is spinning on its frictionless bearings at constant angular speed of Omega_0 = 4 radians per second. The gentleman bugs decides that he misses the lady bug and wants to at least stand where she used to be, so he walks straight out from R/2 to R. As he makes this walk, by what factors, if any, do the following quantities change? His Moment of Inertia His Angular Momentum His Kinetic Energy His Angular Speed

Explanation / Answer

a) Factor by which Momemnt of inertia change = MR^2/[M(0.5R)^2] = 4

d) initial angular momentum = (i + 4i) W= 5iW = final angular momentum

Final angular speed = final angular momentum/(final moment of inertia)

= 5iW/8i = 5/8 W

Factor by which angular speed change = 5/8

B) Factor by which his Angular momentum change = ( 4i*5/8W)/iW = 2.5

c) Factor by which his KE change = [ 0.5 *4i*(5W/8)^2]/[0.5 i W^2 ] =   [ 4*(5/8)^2] = 25/16 =1.5625

Related Questions

Navigate

• Browse (All)
• Browse S
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.