18. [-/10 Points] DETAILS SERPSE10 10.8.OP.026. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER The object shown in the figure below consists of a thin rod of length ? = 23.9 cm and mass m = 1.20 kg with a solid sphere of diameter d = 10.0 cm and mass M = 2.00 kg attached to its top. The object is free to pivot about a frictionless axle through the bottom of the rod. The object is initially vertical and at rest when it starts to rotate clockwise. M (a) After the combination rotates through 90 degrees, what is its rotational kinetic energy (in J)? (b) What is the angular speed (in rad/s) of the rod and sphere? rad/s (c) What is the linear speed (in m/s) of the center of mass of the sphere? m/s (d) How does it compare with the speed had the sphere fallen freely through the same distance of 28.9 cm? (Express your answer as a percentage of vfan-) "swing is ---Select- fall by Need Help? Read It 19. [-/10 Points] DETAILS SERPSE10 10.8.P.029. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER An object with a mass of m = 4.55 kg is attached to the free end of a light string wrapped around a reel of radius R = 0.245 m and mass of M = 3.00 kg. The reel is a solid disk, free to rotate in a vertical plane about the horizontal axis passing through its center as shown in the figure below. The suspended object is released from rest 6.90 m above the floor. M (a) Determine the tension in the string (in N). N (b) Determine the magnitude of the acceleration of the object (in m/s?). m/s (c) Determine the speed with which the object hits the floor (in m/s). m/s (d) Verify your answer to part (c) by using the isolated system (energy) model. (Submit a file with a maximum size of 1 MB.) This answer has not been graded yet. Need Help? Read it20. [-/10 Points] DETAILS SERPSE10 10.9.OP.028.MI.SA. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER This question has several parts that must be completed sequentially. If you skip a part of the question, you will not receive any points for the skipped part, and you will not be able to come back to the skipped part. Tutorial Exercise A cylinder of mass 11.0 kg rolls without slipping on a horizontal surface. At a certain instant its center of mass has a speed of 4.0 m/s. (a) Determine the translational kinetic energy of its center of mass. (b) Determine the rotational kinetic energy about its center of mass. (c) Determine its total energy. Click here to begin! Need Help? Read It 21. [-/10 Points] DETAILS SERPSE10 10.9.OP.032. MY NOTES ASK YOUR TEACHER (a) A uniform solid disk rolls without slipping down an incline making an angle @ with the horizontal. What is its acceleration? (Enter the magnitude. Use any variable or symbol stated above along with the following as necessary: g for the acceleration of gravity.) a disk (b) A uniform thin circular ring rolls without slipping down an incline making an angle 8 with the horizontal. What is its acceleration? (Enter the magnitude. Use any variable or symbol stated above along with the following as necessary: g for the acceleration of gravity.) aring (c) What is the minimum coefficient of friction required for the disk from part (a) to roll without slipping? (Use any variable or symbol stated above along with the following as necessary: g for the acceleration of gravity.) Need Help? Read It 22. [-/10 Points] DETAILS SERPSE10 10.9.OP.033. MY NOTES ASK YOUR TEACHER You place a uniform solid disk and a uniform thin ring next to each other at the top of an incline of height h and release them from rest at the same instant. (a) If they roll without slipping, what are the speeds of each when they reach the bottom? (Use any variable or symbol stated above along with the following as necessary: g for the acceleration of gravity.) V disk Vring (b) Which object reaches the bottom first? O solid disk O thin ring It's a tie. Need Help? Read ItYou place a uniform solid disk and a uniform thin ring next to each other at the top of an incline of height h and release them from rest at the same instant. (a) If they roll without slipping, what are the speeds of each when they reach the bottom? (Use any variable or symbol stated above along with the following as necessary: 9 for the acceleration of gravity.) \"disk = i V ring 1' (b) Which object reaches the bottom rst? 0 solid disk D thin ring O It's a tie. Need Help? 23. [410 Points] DETAILS SERPSE1010.A.OP.OM. l MYNOTES ll ASKYDURTEACHER I PRACTICEANOTHER I A small solid glass sphere, with a mass m and radius r, is placed on the inclined section of the metal track shown below, such that its lowest point is at a height h above the bottom of the loop. The sphere is then released from restr and it rolls on the track without slipping. In your analysis, use the approximation that the radius r of the sphere is much smaller than both the radius R of the loop and the height h. (Use the following as necessarv: M, R. and g for the acoeleration of gravity.) Solid sphere {)l'mass in and radius r