Six brass and aluminum spheres are connected by three lightweight rods to form a rigid object shaped like a jack. The brass spheres are shaded and have greater mass and the aluminum are not shaded and have less mass. Rank the rotational inertia of each object around the z axis from greatest to least. Separate characters with a space. Enter your answer as A > B or A = B if they are equal, ... Equal values can be entered in any order
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Six brass and aluminum spheres are connected by three lightweight rods to form a rigid object shaped like a jack. The brass spheres are shaded and have greater mass and the aluminum are not shaded and have less mass. Rank the rotational inertia of each object around the z axis from greatest to least. Separate characters with a space. Enter your answer as A > B or A = B if they are equal, ... Equal values can be entered in any order.
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- Calculate the rotational inertia of a meter stick, with mass 0.677 kg, about an axis perpendicular to the stick and located at the 33.8 cm mark. (Treat the stick as a thin rod.) Number i Units28When a pitcher throws a baseball, the rotational speed is important when it comes to making the ball “break”, or curve away from its expected motion. A baseball that has a mass of 0.143 kg and a radius of 3.65 cm can rotate at a rate of 1.80 x 103 rpm on its way to home plate, causing the ball to curve! Suppose this baseball is rotating around an axis through its center at this extreme rate. What is the rotational kinetic energy of the baseball as it travels toward home plate? Model the baseball as a solid sphere, ICM = 2/5MR2
- A yo-yo is constructed of two brass disks whose thickness b is 8.5mm and whose radius R is 3.5cm, joined by a short axle whose radius Ro is 3.2mm. A. What is the rotational inertia about its central axis? Neglect rotational inertia of the axle. The density p is 8400kg/m^3. B. A string of length l=1.1m and of negligible thickness is wound on the axle. What is the linear acceleration of the yo-yo as it rolls down the string from the rest?A flywheel is a solid disk that rotates about an axis that is perpendicular to the disk at its center. Rotating flywheels provide a means for storing energy in the form of rotational kinetic energy and are being considered as a possible alternative to batteries in electric cars. The gasoline burned in a 340-mile trip in a typical midsize car produces about 4.31 x 10 J of energy. How fast would a 34.8-kg flywheel with a radius of 0.577 m have to rotate to store this much energy? Give your answer in rev/min.A spherical shell with 0.13 kg of mass and 0.050 m of radius rolled without slipping on a horizontal floor. A ramp was placed on the floor. The spherical shell rolled up the incline without slipping to a vertical height of 0.46 m before stopping. The ramp has a length of 1.8 m along the incline. Find the speed of the spherical shell before it reached the ramp. Hint: the spherical shell has rotational kinetic energy. The rotational inertia of a spherical shell is (2/3)mr^2.
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- A ball with a weight of 70 N hangs from a string that is coiled around a 3 kg pulley with a radius of 0.4 m. Both the ball and the pulley are initially at rest. The rotational inertia of the pulley is 0.5mr2 and the ball is released from rest. Calculate the ball's velocity after it falls a distance of 2 meters.Wile E. Coyote wants to flatten the Road Runner. Wile E. puts food at a pre-determined distance from the edge of a cliff. While the Road Runner eats the food, Wile E. pushes a log down the hill. It rolls without slipping. The radius of the log is 0.3 m. The mass of the log is 80 kg. The rotational inertia of the log is given by I = ½ MR2 . The translational speed of the log just before it leaves the cliff horizontally is 16 m/s. The Road Runner is 10 m below the cliff. If the log is to successfully hit the Road Runner, the food must be place at a precise location from the base of the cliff which you will determine. a. Use only energy considerations and the fact that the log does not slip as it rolls to determine the height it started from, h, before it went over the cliff. b. Determine how far from the edge of the cliff the food needs to be placed so the log lands on the Road Runner. The rotating motion of the log in the air does not affect the motion of the log once it is in the air.…For each question, use degrees NOT radians. Healthcare professionals, when measuring range of motion (ROM) and isokinetic strength, use degrees - so this assignment will use answers in degrees as well. A person is laying on their stomach doing a hamstring curl. They go from fully extended (0o) to 130o of flexion. What is their angular displacement if the person is on their stomach with their head facing left (feet pointing right)?