In the gure below, three thin rods are all connected at their centers. The rods each have the same length l. and mass m. and they are an perpendicular to one another. Each rod lies on one o! the x. y. or z-axes as shown. The entire structure formed by the rods is rotated about an axis that is parallel to the yaxis and passes through the end of the rod that lies on the x-axls. What is the moment of inertia of this structure about the axis or rotation? {Use any variable or symbol stained above as necessary.) 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. (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 Van-) "swing is ---Select- o fan 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/s2 (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 It22. [-/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 It 23. [-/10 Points] DETAILS SERPSE10 10.A.OP.044. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER 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 rest, 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 necessary: M, R, and g for the acceleration of gravity.) Solid sphere of mass m and radius r r (b) What are the components of the net force on the sphere at the point P if h = 3R? Use a coordinate system where the +x- direction is to the right and the +y-direction is up. (Assume point P has a height R above the horizontal section of the track.) EFX = EFy Need Help? Read It