A light meter rod has two point masses each of 2 kg fixed at its ends. If the system rotates about its centre of mass with an angular speed of 0.5 rad/s, find it rotational Kinetic energy.
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![A light meter rod has two point masses each of 2 kg
fixed at its ends. If the system rotates about its centre
of mass with an angular speed of 0.5 rad/s, find it
rotational Kinetic energy.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fbfe0bc3a-3500-4569-a413-b0d8992cd345%2Ff04db9f9-4230-4e16-8713-19be3fef8a63%2F803q4a_processed.jpeg&w=3840&q=75)
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- Two wheels of moment of inertia 9.7 kg.m and 9.4 kg.m are set in rotation with angular speed 21 rad/s and 1.9 rad/s, respectively. When they are coupled face to face (as shown in the following figure) they rotate with a common angularspeed co due to frictional forces, then what is the change in kinetic energy 0) of the wheels due to frictional forces? Before coupling After coupling Select one O 20.10 O h-o.19 O c-010 vith d.019A bus contains a 1500 kg, 0.600 m radius flywheel (a disk) and has a total mass of 10,000 kg. (a) Calculate the angular velocity the flywheel must have, in rad/s, to contain enough energy to take the bus from rest to a speed of 18.0 m/s, assuming 82.0% of the rotational kinetic energy can be transformed into translational energy. rad/s (b) How high a hill, in meters, can the bus climb with this stored energy and still have a speed of 5.00 m/s at the top of the hill?A solid, uniform disk of radius 0.250 m and mass 61.2 kg rolls down a ramp of length 5.10 m that makes an angle of 18.0° with the horizontal. The disk starts from rest from the top of the ramp. (a) Find the speed of the disk's center of mass when it reaches the bottom of the ramp. |m/s (b) Find the angular speed of the disk at the bottom of the ramp. rad/s
- A car is designed to get its energy from a rotating solid- diskflywheel with a radius of 2.00 m and a mass of 5.00 x 102 kg.Before a trip, the flywheel is attached to an electric motor, whichbrings the flywheel’s rotational speed up to 5.00 x 103 rev/min.(a) Find the kinetic energy stored in the flywheel. (b) If the flywheelis to supply energy to the car as a 10.0 - hp motor would,find the length of time the car could run before the flywheelwould have to be brought back up to speed.A 1.00 kg solid, uniform disk rolls without slipping across a level surface, translating at 3.00 m/s. If the disk's radius is 0.150 m, find the following. HINT (a) the disk's translational kinetic energy (in J) (b) the disk's rotational kinetic energy (in J)A uniform disk of mass 3.70 kg has a radius of 0.100 m and spins with a frequency of 0.550 rev/s. What is its angular momentum?
- This problem illustrates the two contributions to the kinetic energy of an extended object: rotational kinetic energy and translational kinetic energy. You are to find the total kinetic energy Ktotal total of a dumbbell of mass m when it is rotating with angular speed ω and its center of mass is moving translationally with speed v. (Figure 1)Denote the dumbbell's moment of inertia about its center of mass by Icm. Note that if you approximate the spheres as point masses of mass m/2 each located a distance r from the center and ignore the moment of inertia of the connecting rod, then the moment of inertia of the dumbbell is given by Icm=mr2, but this fact will not be necessary for this problem. Find the total kinetic energy Ktot of the dumbbell. Express your answer in terms of m, v, Icm, and ω.You are riding your bicycle down the street at a speed of 16 m/s. Your bicycle's frame has a mass of 6.0 kg, and each of its two wheels has mass 2.2 kg and radius 0.34 m. Each wheel can be thought of as a hollow hoop (assuming that the rim has much larger mass than the spokes). What is the total kinetic energy of the bicycle (in Joules)?(take into account both the translational and rotational motion.)A car is designed to get its energy from a rotating flywheel (solid disk) with a radius of 2.00 m and a mass of 400 kg. Before a trip, the flywheel is attached to an electric motor, which brings the flywheel's rotational speed up to 4500 rev/min. (a) Find the kinetic energy stored in the flywheel. (b) If the flywheel is to supply energy to the car as would a 20.0-hp motor, find the length of time the car could run before the flywheel would have to be brought back up to speed.
- A solid disk with radius r= 1Ocm rolls smoothly from rest from the top of the roof that is 12m long and inclined 30°. Using energy conservation law, calculate a) the velocity of the center of mass of the disk at the edge, b) the angular velocity of the disk at the same moment. The moment of inertia of a solid disk rotated about its center is I=1/2MR?A 1190 kg car has four 16 kg wheels. When the car is moving, what fraction (K rotational /K total) of its total kinetic energy is due to rotation of the wheels about their axles? Assume that the wheels have the same rotational inertia as uniform disks of the same mass and size. (Your result must be in multiples of 10 -2 and include 2 digit after the decimal point. That means if you get a result of a 9.22 x 10 -2 just type 9.22 in the answer box. Maximum of 3% of error is accepted in your answer.A solid sphere rolls down an incline without slipping. At any instant while in motion, what is the ratio of its rotational kinetic energy about its center of mass to its total kinetic energy?