A system of point particles is shown in the following figure. Each particle has mass 0.43 kg, and they all lie in the same plane. 62 cm 49 cm axis 29 cm (a) What is the moment of inertia (in kg. m²) of the system about the given axis? kg-m² (b) If the system rotates at 5.6 rev/s, what is its rotational kinetic energy (in J)?
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- A potter's wheel is initially at rest. A constant external torque of 55.0 N-m is applied to the wheel for 13.0 s, giving the wheel an angular speed of 4.00 x 102 rev/min. What is the moment of inertia I of the wheel? kg-m? The external torque is then removed, and a brake is applied. If it takes the wheel 2.00 x 102 s to come to rest after the brake is applied, what is the magnitude of the torque exerted by the brake Trake,z? Tbrake,z N-m %3DA system of point particles is shown in the following figure. Each particle has mass 0.23 kg, and they all lie in the same plane. 42 cm 29 cm axis 69 cm (a) What is the moment of inertia (in kg · m2) of the system about the given axis? | kg - m² (b) If the system rotates at 3.6 rev/s, what is its rotational kinetic energy (in J)?Look at the picture
- If an object has a moment of inertia 37 kg-m2 and the magnitude of its rotational angular momentum is 88 kg · m2/s, what is its rotational kinetic energy? Krot =Suppose the rotational kinetic energy of a solid disk is 1000 J when the disk has an angular velocity of 3 rad/s. What is the disk's moment of inertia? If the mass of the disk is 50 kg, what must be its radius? moment of inertia: A. 276.5 kg-m? B. 222.2 kg-m? D. 238.5 kg-m? E. 239.2 kg-m? С. 175.9 kg-m? F. 170.3 kg-m? /--/ radius: А. 2.490 m D. 2.536 m В. 2.981 m Е. 3.341 m С. 3.212 m F. 3.195 m4. A cylinder with mass m1 = 2.5 kg and radius r = 20 cm rotates counterclockwise about a vertical axis through its center with angular speed @1=5.0 rad/s. A second cylinder with mass m₂ = 1.0 kg and radius r1= 15 cm rotates clockwise about the same axis with angular speed @2 = 12 rad/s. The upper cylinder is lowered onto the lower one and they couple so they have the same rotational axis. Find the angular speed of the combination. Is kinetic energy conserved? If not, what happened to the a) b) kinetic energy? m₂ = 1.0 kg T2 = 15 cm m₁ = 2.5 kg n W₂ = 12 rad/s T₁ = 20 cm w₁ = 5 rad/s
- PLEASE DRAW AN FBD AND ANSWER IT ON A PAPER The figure shown is on a fixed frictionless axle. It has a moment of inertia of I = 50 kg-m2 . The forces acting on the object are F1 = 100 N, F2 = 200 N, and F3 = 250 N acting at different radii R1 =60 cm, R2 = 42 cm, and R3 = 28 cm. Determine the angular acceleration of the object.Modern wind turbines generate electricity from wind power. The large, massive blades have a large moment of inertia and carry a great amount of angular momentum when rotating. A wind turbine has a total of 3 blades. Each blade has a mass of m = 5500 kg distributed uniformly along its length and extends a distance r = 44 m from the center of rotation. The turbine rotates with a frequency of f = 12 rpm. a)Calculate the total moment of inertia of the wind turbine about its axis, in units of kilogram meters squared. b)Enter an expression for the angular momentum of the wind turbine, in terms of the defined quantities. c)Calculate the angular momentum of the wind turbine, in units of kilogram meters squared per second.A system of point particles is shown in the following figure. Each particle has mass 0.280 kg and they all lie in the same plane. What is the moment of inertia of the system about the given axis? 38 cm 25 cm axis 58 cm Submit Answer Tries 0/10 If the system rotates at 4.80 rev/s, what is its rotational kinetic energy?
- A system consists of a disk of mass 2.3 kg and radius 48 cm upon which is mounted an annular cylinder of mass 1.3 kg with inner radius 20 cm and outer radius 32 cm (see below). The system rotates about an axis through the center of the disk and annular cylinder at 12 rev/s. axis 48 cm 32 cm 20 cm (a) What is the moment of inertia of the system (in kg • m2)? kg · m2 (b) What is its rotational kinetic energy (in J)?11.2A cylinder with moment of inertia 20 kgm^2 rotates with angular velocity 9.97 rad/s on a frictionless vertical axle. A second cylinder, with moment of inertia 27.5 kgm^2, initially not rotating, drops onto the first cylinder and remains in contact. Since the surfaces are rough, the two eventually reach the same angular velocity. Calculate the final angular velocity. I2 wo Before After Your answer