The figure shows a rigid structure consisting of a circular hoop of radius R and mass m, and a square made of four thin bars, each oflength R and mass m. The rigid structure rotates at a constant speed about a vertical axis, with a period of rotation of 4.6 s. If R = 1.0 mand m = 3.6 kg, calculate the angular momentum about that axis.NumberiUnitsTALRotation axis2R

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Answered: The figure shows a rigid structure…

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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The figure shows a rigid structure consisting of a circular hoop of radius R and mass m, and a square made of four thin bars, each of length R and mass m. The rigid structure rotates at a constant speed about a vertical axis, with a period of rotation of 2.1 s. If R = 1.6 m and m = 4.5 kg, calculate the angular momentum about that axis. Rotation axis 2R Number Units
A mobile sculpture is suspended from the ceiling of an airport terminal building. It consists of two metal spheres, each with mass 2.0 kg, connected by a uniform metal rod with mass 3.0 kg and length s=4.0m. The assembly is suspended at its midpoint by a wire and rotates in a horizontal plane, making 3.0 revolutions per minute. a) Find the angular momentum and kinetic energy of the assembly. b) What would the kinetic energy of the sculpture be if the rod was twice as long but it still had the same angular momentum as in the example?
The figure shows a rigid structure consisting of a circular hoop of radius R and mass m, and a square made of four thin bars, each of length R and mass m. The rigid structure rotates at a constant speed about a vertical axis, with a period of rotation of 1.5 s. If R = 0.3 m and m = 1.5 kg, calculate the angular momentum about that axis. Number Enter your answer in accordance to the question statement Units Choose the answer from the menu in accordance to the question statement radrad/srad/s^2kg·m^2N·mkg·m^2/srad^2/s^2
A disk initially at rest is fixed to a vertical axis of rotation and a 40 kg child is standing on the disk initially at rest 0.5 meters away from the axis of rotation. The rotational inertia of the disk is 50 kgm2. The boy pushes and jumps off the disk and the disk begins to rotate at 0.5 rad/s. Calculate the linear velocity of the child as they push off the disk.
Paralel axis theorem) = 0.108m Isaいd ニ Sphere MR? しR-0.1og。 A bowling ball of mass 7.1 kg and diameter 21.6 am is thrown down the alley at a speed of 8.7 m/s. The bowling ball is initially skidding, with no angular velocity, down the alley. The coefficient of friction between the ball and the alley is (0.30, 0.25). Motion Information Event 1:1 Free-Body Diagram Event 2: re byl! t, =0 12 = いitroa* Sipi. 12 = 02 = 0, = V; = 8,7mls 01 = 0 V2 = 02 = aj = KF az = a2 = aj = Mathematical Analysis V½ =WqRt Cond,i tionof event 2 untilthen, The FBD aboveis vali?, and ball AiCcedernting 2 EF=- "F = Mamg = ma> a= -Meg * MR G: EF:0 :f - mg F:mg a £ Roc 5 MM g %3D %3D => 2 R Calculate %3D Vz = V, + a€z the rest is easy Solve for te...
Two identical meter sticks are connected as shown in the diagram. The origin of the coordinate system is located where the two meter sticks are joined. y 1 m 1 m What is the moment of inertia of the two sticks about an axis perpendicular to meter sticks and passing through the center of mass of the whole system? Assume each meter stick has a mass m and length L.
RIGID BODY ENERGY METHODS In the system below, the disk has a mass of 2 slugs and the block B has a mass of 0.8 slugs. The system starts from rest at 8 = 0 degrees. A moment, M, is then applied to the disk and moves the whole system to 8 = 90 degrees. At 0 = 90 degrees, the angular velocity of the disk is 2 rad/s. What is the magnitude of the moment M? M 3 ft w, a C 5 ft B
Use the graph for the inelastic collision shown above to solve this problem. If you were to allow the system to continue spinning after the collision, at what time (in s) on the x-axis would the system come to a complete stop, assuming the rate of decrease you observe remains constant? Round your answer to 2 decimal places.
A throwing dart is thrown at a target which is is free to pivot around a rotational axis. The dart is thrown at the target and collides in a perfectly inelastic collision, which sets the target in motion around the pivot. The geometry of the masses are as follows: m4 = 1.27 kg is an aluminum disk of radius ra = 0.15 m which has a bearing at its center. This pivot point is shown as a dot in the figure. m3 = 0.150 kg is a uniform rod of length l = 1.0 m, and is attached to the ruler 20 cm from its end. m, = 0.5 kg is sitting on top of the ruler r = -0.15 m from the pivot, and Sm, (assume massless) is the target for the dart, located r2 = 0.10kg and collides directly with the center of the target (0.6 m from the pivot). 0.6 m from the pivot. The dart is shown as a) Calculate the angular momentum of the system before the collision, assuming the dart is thrown at vi; = 12 m/s. b) Calculate the moment of inertia of the rotating masses with the dart stuck into the target. c) Calculate the…
A 10 kg wheel with a 0.4 meter radius is rotating at 4 rad/s. A 8 Nm torque is applied to the wheel. The rotational inertia of the wheel is 0.48 kgm2. The angular momentum of the wheel changes by 4 kg*m2/s. How long was the torque applied to the wheel. - 8 s - 3 s - 4 s - 0.5 s
A thin, hollow sphere of radius r = 0.480 m and mass m = 16.0 kg turns counterclockwise about a vertical axis through its center (when viewed from above), at an angular speed of 2.90 rad/s. What is its vector angular momentum about this axis? (Enter the magnitude in kg. m²/s.) kg-m²/s magnitude direction ---Select--- v

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