A thin light string is wrapped around the outer rim of a uniform hollow cylinder of mass 4.90 kg having inner and outer radii as shown in the figure. 20.0 cm 35.0 cm The cylinder is then released from rest. For related problem-solving tips and strategies, you may want to view a Video Tutor Solution of Acceleration of a primitive yo-yo.
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- 7. An aluminum disk has a mass m, radius R, and area A. It has an area mass density (mass per unit area) which varies with distance from the center of the disk and can be describe by o=ar, where r is the distance from the center of the disk and a is a constant. (a) What are the units of a? (b) What is the moment of inertia of the disk about an axis through the center?Q7) A uniform cylinder has mass m = 1.95 kg and radius r= 1.96 m. The cylinder touches both a solid wall and the ground as shown in the figure. The coefficient of kinetic friction between the cylinder and both the ground and the solid wall is uk = 0.205 A massless string is wound around the cylinder. A horizontal force of magnitude F = 20.9 N is applied to the string and it unwinds with the string not slipping. The cylinder is rotating around its central axis (denoted by an x in the figure), but otherwise not moving. F a) Calculate the magnitude of the normal force that the wall exerts on the cylinder. b) Calculate the magnitude of the angular acceleration of the cylinder.The outstretched hands and arms of a figure skater preparing for a spin can be considered a slender rod pivoting about an axis through its center (Figure 1). When his hands and arms are brought in and wrapped around his body to execute the spin, the hands and arms can be considered a thin-walled hollow cylinder. His hands and arms have a combined mass 8.0 kg. When outstretched, they span 1.7 m; when wrapped, they form a thin- walled hollow cylinder of radius 23 cm. The moment of inertia about the rotation axis of the remainder of his body is constant and equal to 0.4 kg. m². For related problemsolving tips and strategies, you may want to view a Video Tutor Solution of Anyone can be a ballerina. Figure 1 of 1 TI Part A If his original angular speed is 0.50 rev/s, what is his final angular speed? Express your answer in revolutions per second. 15| ΑΣΦ W2 = 1.03 Submit Previous Answers Request Answer X Incorrect; Try Again; 8 attempts remaining Provide Feedback ? rev/s
- There is a uniform hollow spherical shell with a radius of 15 cm siting at the end of a massless rod with a length 5 cm and swings without friction about an axis. If it is released from rest above the axis, what is its angular velocity as it swings through directly below the axis?The table below lists four uniform objects. String is wrapped around the center of object 2 which is held motionless and then released so that the string unwinds as the object rotates and falls, as in the figure. Find the magnitude of the object's center of mass acceleration, acm. [Hint: The object's mass and radius cancel, so they aren't needed to solve the problem.] Number 1 2 3 4 R acm = M Object solid cylinder thin hoop solid sphere hollow sphere m/s² Report your numerical answer below, assuming three significant figures. Remember to include a "-" when necessary.A hollow spherical shell has mass 8.50 kg and radius 0.240 m. It is initially at rest and then rotates about a stationary axis that lies along a diameter with a constant acceleration of 0.875 rad/s2. What is the kinetic energy of the shell after it has turned through 6.50 rev?
- A 270-g mass hangs from a string that is wrapped around a pulley, as shown in the figure. The pulley is suspended in such a way that it can rotate freely. When the mass is released, it accelerates toward the floor as the string unwinds. Model the pulley as a uniform solid cylinder of mass 1.00 kg and radius 5.00 cm. Assume that the thread has negligible mass and does not slip or stretch as it unwinds. Determine the magnitude a of the pulley's angular acceleration. 344 rad/s? Incorrect Determine the magnitude of the acceleration a of the descending weight. a = m/s? Question Source: Freedman College Physics 3e | PublA uniform bar has two small balls glued to its ends. The bar is 1.9 m long and has mass 1.5 kg, while the balls each have mass 0.5 kg and can be treated as point masses. Find the moment of inertia of this combination about an axis perpendicular to the bar and through one of the balls. the answer's unit is. Needs Complete typed solution with 100 % accuracy.The uniform slender rod has a mass m. If it is released from rest when 0 = 0 determine the angular acceleration of the slender when 0= 90°. L A B Hint: Mass moment of inertia for a slender beam with respect to axis through its center of gravity: T = ML² Where M is the mass of slendel and Lis the length of slender. MacBook Air 888 FA F2 & $. 4 %23 delete 7 8 9 2 3 P Y R W K F G D N M B V command ption ソ
- hi please help: A massless frame in the shape of a square has a 1.4 kg mass at each corner. The length of each side is d=3.9 m What is the moment of inertia I of this structure about an axis perpendicular to the plane of the square and through the lower left corner marked by the arrow? Answer in kg•m^2 and using three significant figuresA potter's wheel is rotating around a vertical axis through its center at a frequency of 1.8 rev/s . The wheel can be considered a uniform disk of mass 5.0 kg and diameter 0.34 m The potter then throws a 2.6-kg chunk of clay, approximately shaped as a flat disk of radius 7.0 cm, onto the center of the rotating wheel. - What is the frequency of the wheel after the clay sticks to it? Ignore frictionA thin spherical shell has a radius of 0.90 m. An applied torque of 920 N m imparts to the shell an angular acceleration equal to 4.70 rad/s2 about an axis through the center of the shell. What is the rotational inertia of the shell about the axis of rotation? Calculate the mass of the shell.