(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 6.00 m/s. (Enter the magnitude to at least two decimal places in kg · m2/s.) (picture) 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. (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 13.0 cm in diameter? (Round your answer to at least two decimal places.) kg · m2/s
(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 6.00 m/s. (Enter the magnitude to at least two decimal places in kg · m2/s.) (picture) 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. (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 13.0 cm in diameter? (Round your answer to at least two decimal places.) kg · m2/s
(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 6.00 m/s. (Enter the magnitude to at least two decimal places in kg · m2/s.) (picture) 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. (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 13.0 cm in diameter? (Round your answer to at least two decimal places.) kg · m2/s
(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 6.00 m/s. (Enter the magnitude to at least two decimal places in kg · m2/s.)
(picture) Two masses m1 and m2 are connected by a rod of length ℓ centered on the origin of an xy 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.
(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 13.0 cm in diameter? (Round your answer to at least two decimal places.)
kg · m2/s
Definition Definition Product of the moment of inertia and angular velocity of the rotating body: (L) = Iω Angular momentum is a vector quantity, and it has both magnitude and direction. The magnitude of angular momentum is represented by the length of the vector, and the direction is the same as the direction of angular velocity.
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