Question

(a)

A light, rigid rod of length

ℓ = 1.00 m

joins two particles, with masses

m₁ = 4.00 kg

and

m₂ = 3.00 kg,

at its ends. The combination rotates in the xy-plane about a pivot through the center of the rod (see figure below). Determine the angular momentum of the system about the origin when the speed of each particle is 4.80 m/s. (Enter the magnitude to at least two decimal places in kg · m²/s.)

Two masses m₁ and m₂ are connected by a rod of length ℓ centered on the origin of an x y coordinate plane. The rod is rotating counterclockwise about the origin such that the masses each have tangential velocity vector v. A dashed circle outlines the path of the masses.

magnitude kg · m²/s direction

(b)

What If? What would be the new angular momentum of the system (in kg · m²/s) if each of the masses were instead a solid sphere 10.5 cm in diameter? (Round your answer to at least two decimal places.)

kg · m²/s

Answer 1