6. You went to the top of a hill, a vertical height of 9 meters with respect to the bottom. You brought with you a solid wheel with a mass of 3 kg and a radius of 0.5 meters. You placed it at rest at the top and allowed it to roll without slipping down to the bottom. The moment of inertia for a solid wheel is 1/2 MR².
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- Fast and get likeAn automatic dryer spins wet clothes at an angular speed of 4.7 rad/s. Starting from rest, the dryer reaches its operating speed with an average angular acceleration of 3.4 rad/s². How long does it take the dryer to come up to speed? i eTextbook and Media GO Tutorial Save for Later Attempts: 0 of 3 used Submit Answer SUPPORT C # $ 2 3 4 וום 205 % & ( 6 7 8 9 W e r t Y u i S d f 60 h K 0 4 Mar 26 P 9:30 US X9. A horizontal 800-N merry-go-round of radius 1.50 m is started from rest by a constant horizontal force of 50.0 N applied tangentially to the merry-go-round. Find the kinetic energy of the merry-go-round after 3.00 s. (Consider the merry-go-round to be a solid cylinder in determining its moment of inertia). Answer: 276 J
- A playground merry-go-round has Moment of Inertia of 500 kg-m2 and a radius of 4.5 m. Four children, each with a mass of 40 kg are riding the merry-go-round on its outer edge. The merry-go-round with the children has an angular speed of 0.44 rad/s. If all the children move to the center at the same time, what happens to the angular speed of the merry go round? Explain.2. In the thin plate shown below, the material has a mass per unit area of 20 kg/m² (that is, instead of thinking of this as a volume with a thickness, we're just focused on the 2D area of the shape). What is the moment of inertia of this plate around the pivot point, O? 50 mm 400 mm 150 mm 150 mm 400 mm1. An Olympic athlete competing in the hammer toss spins the 7.26 kg hammer in a circle having a radius of 2.15 m (this includes both the length of the massless cable attached to the hammer and the athlete's arms). If the angular speed of the hammer is 13.4 rad/s about the axis of rotation just before the athlete releases the hammer, what is the tension force in the cable attached to the hammer at this moment? Treat the hammer like it is a point mass at the end of a massless cable. 2. Your car has a mass of 1.30 x 103 kg. You get on Crondall Lane and are cruising along at 20.0 m/s and thinking about how you really should have walked across the bridge instead of contributing to global pollution. You look up to see that you are approaching the stoplight at Owings Mills Boulevard and it is red, so you slam on the brakes when you are 25.0 m away from the light. If your brakes provide a constant force of 8.90 x 103 N, do you stop before reaching the stoplight? If not, how fast are you…
- Diving from a high cliff, Cliff begins with a moderate rotational speed of a half rotation per second. Rank the following positions (and their moments of inertia) that cliff can assume during his dive, from the lowest rotational speed he will experience to the highest. + 1. Standing straight up, spinning about a head-to-toe axis: I = 0.3 kg m2 + 2. Bent in half, about an axis through his waist: I = 4 kg m- %3D + 3. Standing straight upwards, about an axis through his waist: I = 16 kg m2 + 4. Mass tucked inwards into a ball: I = 0.8 kg m- + 3. Arms out, spinning about a head-to-toe axis: I = 1.2 kg m26. Two disks are rotating about the same axis. Disk A has a moment of inertia of 4.00 kg.m2 and an angular velocity of +6.80 rad/s. Disk B is rotating with an angular velocity of -11.8 rad/s. The two disks are then linked together without the aid of any external torques, so that they rotate as a single unit with an angular velocity of -2.50 rad/s. The axis of rotation for this unit is the same as that for the separate disks. What is the moment of inertia of disk B? kg.m2 kpl kp13 136 skp7. A 65 kg person stands at the edge of a stationary merry-go-round platform (diameter 5.5 m) which can turn with no friction. The moment of inertia of the platform is 1850 kgm?. Now the person runs around the edge of the platform at 4.0 m/s with respect to the platform. Calculate the angular velocity of the platform.