A baton twirler in a marching band complains that her baton is defective. The ma

Question

A baton twirler in a marching band complains that her baton is defective. The manufacturer specifies that the baton should have an overall length of L= 66.0 cm and a total mass between 950.0 and 960.0 g (there is one 350-g objects on each end). Also according to the manufacturer, the moment of inertia about the central axis passing through the baton should fall between 0.0750 and 0.0800 kg/m2. The twirler (who has completed a class in physics) claims this is impossible.

1) What is the minimum moment of inertia?

2). What is the maximum moment of inertia?

Explanation / Answer

(a) for minimum moment of inertia

mass off rod stick = 950- 2x350 = 250 g = 0.25 kg

mass of each object at the end= 350g= 0.350kg

moment of inertia = 1/12( ML^2 ) +2 m(L/2)^2

moment of inertia=1/12 (0.25 * 0.66^2) + 2 * 0.35 * (0.33)^2 = 0.0853 kgm^2

(b)

for maximum moment of inertia

mass off rod stick = 960- 2x350 = 260 g = 0.26 kg

mass of each object at the end= 350g= 0.350kg

moment of inertia = 1/12( ML^2 ) +2 m(L/2)^2

moment of inertia=1/12 (0.26 * 0.66^2) + 2 * 0.35 * (0.33)^2 = 0.0857 kgm^2

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

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