Problem One. A hollow cylinder with length L = 1.0 m, inner radius a = 1.0 m, and outer radius b = 2.0 m, has a mass density given by P=Lo , where p, =1.0k.. Find the moment of inertia of the cylinder (in kg-m³) if it spins around an axis along its center. 1.) (A) 99 (D) 76 (В) 46 (E) 53 (C) 31 A force given by F, = At , where A=4.0 % , is applied to the outer radius in a tangential direction. A second force given by F, = Bt², where B=3.0: , is also applied to the inner radius in a tangential direction that is opposite to the first force. If the cylinder starts from rest, find the power (in watts) delivered to the cylinder at 1 = 2.0 s. 2.) (A) 0.27 (B) 0.97 (C) 0.51 (D) 0.34 (E) 0.62 Find the angular displacement that is required for the cylinder to reach it's maximum angular speed. 3.) (A) 0.27 (B) 0.34 (C) 0.52 (D) 0.13 (E) 0.62
Problem One. A hollow cylinder with length L = 1.0 m, inner radius a = 1.0 m, and outer radius b = 2.0 m, has a mass density given by P=Lo , where p, =1.0k.. Find the moment of inertia of the cylinder (in kg-m³) if it spins around an axis along its center. 1.) (A) 99 (D) 76 (В) 46 (E) 53 (C) 31 A force given by F, = At , where A=4.0 % , is applied to the outer radius in a tangential direction. A second force given by F, = Bt², where B=3.0: , is also applied to the inner radius in a tangential direction that is opposite to the first force. If the cylinder starts from rest, find the power (in watts) delivered to the cylinder at 1 = 2.0 s. 2.) (A) 0.27 (B) 0.97 (C) 0.51 (D) 0.34 (E) 0.62 Find the angular displacement that is required for the cylinder to reach it's maximum angular speed. 3.) (A) 0.27 (B) 0.34 (C) 0.52 (D) 0.13 (E) 0.62
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