This preview shows pages 1–2. Sign up to view the full content.
This preview has intentionally blurred sections. Sign up to view the full version.
View Full Document
Unformatted text preview: schneiter (tcs639) HW17 Ross (89152) 1 This printout should have 12 questions. Multiplechoice questions may continue on the next column or page find all choices before answering. 001 (part 1 of 3) 10.0 points A force vector F = F x i + F y j + F z k acts on a particle located at vector X = ( x, y, z ). Given F x = 31 N, F y = 7 . 97 N, F z = 86 . 1 N, x = 8 . 43 m, y = 3 . 71 m and z = 8 . 02 m, calculate the three components of the torque vector vector = x i + y j + z k . First, calculate the x component. Correct answer: 383 . 35 N m. Explanation: The torque vector is defined as the cross product vector = vector X vector F . In components, this means x = y F z z F y = 383 . 35 N m , y = z F x x F z = 974 . 443 N m , z = x F y y F x = 47 . 8229 N m . 002 (part 2 of 3) 10.0 points Second, calculate the y component. Correct answer: 974 . 443 N m. Explanation: See above. 003 (part 3 of 3) 10.0 points Finally, calculate the z component. Correct answer: 47 . 8229 N m. Explanation: See above. 004 (part 1 of 2) 10.0 points A cylinder with moment of inertia 28 . 7 kg m 2 rotates with angular velocity 8 . 01 rad / s on a frictionless vertical axle. A second cylin der, with moment of inertia 26 kg m 2 , initially not rotating, drops onto the first cylinder and remains in contact. Since the surfaces are rough, the two eventually reach the same an gular velocity. I 2 I 1 Before After Calculate the final angular velocity. Correct answer: 4 . 20269 rad / s. Explanation: From conservation of angular momentum ( I 1 + I 2 ) = I 1 , or = I 1 I 1 + I 2 = (28 . 7 kg m 2 ) (28 . 7 kg m 2 ) + (26 kg m 2 ) (8 . 01 rad / s) = 4 . 20269 rad / s ....
View Full
Document
 Spring '08
 BUTTON
 mechanics, Force

Click to edit the document details