(a) A light, rigid rod of length l== 1.00 m joins two particles, with masses m₁4.00 kg and m₂= 3.00 kg, at its ends. The combination rotates in the xy-plane about a pivot through thecenter of the rod (see figure below). Determine the angular momentum of the system about the origin when the speed of each particle is 6.20 m/s. (Enter the magnitude to at leasttwo decimal places in kg · m²/s.)magnitudedirectionmMXkg m2/s---Select---(b) What If? What would be the new angular momentum of the system (in kgleast two decimal places.)m²/s) if each of the masses were instead a solid sphere 11.0 cm in diameter? (Round your answer to atkg.mm²/s

STEP 1: Given data:Mass, m1=4kg;m2=3kgSpeed of each particle v=6.20m/slength of rod l=1.00mAngular…

Answered: (a) A light, rigid rod of length l = =…

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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(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 diver (m = 60 kg) jumps from a diving board. At takeoff, his angular momentum about the transverse axis is 30 kg⋅m2/s. His radius of gyration about the transverse axis is 0.5 m at this instant. During the dive, he tucks and reduces his radius of gyrations about the transverse axis to 0.2 m. At takeoff, what is the diver’s moment of inertia about his transverse axis?
(a) A light, rigid rod of length { = 1.00 m joins two particles, with masses m, = 4.00 kg and m, = 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 4.00 m/s. (Enter the magnitude to at least two decimal places in kg · m?/s.) 14 v kg • m?/s magnitude direction +z (b) What If? What would be the new angular momentum of the system (in kg · m/s) if each of the masses were instead a solid sphere 15.0 cm in diameter? (Round your answer to at least two decimal places.) 14.5 X 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.) 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/sdirection ---Select--- +x −x +y −y +z −z (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 13.5 cm in diameter? (Round your answer to at least two decimal places.) kg · m2/s
The 0.11 kg baseball in Figure 1 has a speed of vA1 = 35 m/s just before it is struck by the bat. It then travels along the trajectory shown before it strikes the wall at B. (c) Evaluate the magnitude of velocity vB1 and its directional angle θB1 of the ball when it strikes the wall at B.(d) Just before the ball strikes the wall at B, analyze its angular momentum about point A just after the ball is struck.
A particle of mass m moves in a circle of radius R at a constant speed v as shown. If the motion begins at point Q, determine the angular momentum of the particle about point P as a function of time.
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Two astronauts, each having a mass of 75.5 kg, are connected by a 10.0 m rope of negligible mass. They are isolated in space, moving in circles around the point halfway between them at a speed of 4.90 m/s. Treating the astronauts as particles, calculate each of the following. Center of gravity (a) the magnitude of the angular momentum of the system kg-m²/s (b) the rotational energy of the system KJ By pulling on the rope, the astronauts shorten the distance between them to 5.00 m. (c) What is the new angular momentum of the system? kg-m²/s (d) What are their new speeds? m/s (e) What is the new rotational energy of the system? KJ (f) How much work is done by the astronauts in shortening the rope? kJ
You observe a 2.0 kg particle moving at a constant speed of 3.5 m/s in a clockwise direction around a circle of radius 5.0 m. (a) What is its angular momentum about the center of the circle?(b) What is its moment of inertia about an axis through the center of the circle and perpendicular to the plane of the motion?(c) What is the angular velocity of the particle?
Shown below is a small particle of mass 20 g that is moving at a speed of 10.0 m/s when it collides and sticks to the edge of a uniform solid cylinder. The cylinder is free to rotate about its axis through its center and is perpendicular to the page. The cylinder has a mass of 0.5 kg and a radius of 10 cm, and is initially at rest. (a) What is the angular velocity of the system after the collision? (b) How much kinetic energy is lost in the collision?
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Shown below is a small particle of mass 25 g that is moving at a speed of 10 m/s when it collides with and sticks to the edge of a uniform solid cylinder. The cylinder is free to rotate about the axis through its center and perpendicular to the page. The cylinder has a mass of 0.7 kg and a radius of 14 cm and is initially at rest. (a) What is the angular velocity (in rad/s) of the system after the collision? (Indicate the direction with the sign of your answer.) (b) How much kinetic energy (in J) is lost in the collision?

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