What is the rotational inertia of a rod if the mass of the rod is 13.1 kg and a length of 2.5 m?
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- A bowl is rotating on a potter's wheel at constant angular speed as shown. The friction force between his hands and the bowl is 1.70 N total. If the bowl has a diameter of 13.0 cm, how large is the torque on the wheel? Report a positive answer.In the system shown below, compute the net torque about the end of the rod. 60 N 50 N 0.2 m 0.6 m 80 N 30° 70 N 0.2 mA metal ball with 0.27 kg of mass and 0.050 m of radius rolled without slipping on a horizontal floor. A ramp was placed on the floor. The ball rolled up the incline without slipping to a vertical height of 0.47 m before stopping. The ramp has a length of 1.7 m along the incline. Find the speed of the ball before it reached the ramp. Hint: the ball has rotational kinetic energy. The rotational inertia of a solid sphere is (2/5)mr^2.
- A coke can is suspended by a string from the tab so that it spins with a vertical axis. A 14 N perpendicular force at the edge causes rotation. Find the angular acceleration if the can has a radius of 4 cm and a mass of 427 grams.A wrench 30 cm long is attached to a nut and bolt. You exert a 15 N force on the wrench. What is the maximum torque you can exert under these conditions?A mass of 0.75 kg is located at the end of a very light and rigid rod 60.0 cm in length. The rod is rotating about an axis at its opposite end with a rotational velocity of 12.0 rad/s. What is the rotational inertia of the system?
- As a torque activity, your Physics TA sets up the arrangement shown below. 3 F_= A uniform rod of mass m = 118 g and length L = 100.0 cm is attached to the wall with a pin as shown. Cords are attached to the rod at the r₁ = 10.0 cm and r₂ = 90.0 cm mark, passed over pulleys, and masses of m₁ = 271 g and m₂ = 137 g are attached. Your TA asks you to determine the following. (a) The position r3 on the rod where you would suspend a mass m3 = 200 g in order to balance the rod and keep it horizontal if released from a horizontal position. In addition, for this case, what force (magnitude and direction) does the pin exert on the rod? Use standard angle notation to determine the direction of the force the pin exerts on the rod. Express the direction of the force the pin exerts on the rod as the angle F, measured with respect to the positive x-axis (counterclockwise is positive and clockwise is negative). m4 F_= OF = "5 (b) Let's now remove the mass m3 and determine the new mass m4 you would…A wheel consists of a rim (ring) with a mass of 1.3kg and a radius of 0.45m and four equally-spaced spokes (rods) that run from the center of the wheel to the edge of the rim. Each spoke has a mass of 0.15kg and a length equal to the radius of the wheel. What is the total rotational inertia of the wheel about its center?A metal disc with 0.18 kg of mass and 0.070 m of radius rolled without slipping on a horizontal floor. A ramp was placed on the floor. The disc rolled up the incline without slipping to a vertical height of 0.43 m before stopping. The ramp has a length of 1.7 m along the incline. Find the speed of the disc before it reached the ramp. Hint: the disc has rotational kinetic energy. The rotational inertia of a disc is (1/2)mr^2.