solution-hw17

# solution-hw17 - lai(yl8859 – HW17 – Ross –(15200 1...

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Unformatted text preview: lai (yl8859) – HW17 – Ross – (15200) 1 This print-out should have 10 questions. Multiple-choice 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 ˆ i + F y ˆ j + F z ˆ k acts on a particle located at vector X = ( x, y, z ). Given F x = 61 . 9 N, F y = 37 N, F z = 82 . 4 N, x = 7 . 69 m, y = − 1 . 37 m and z = 6 . 98 m, calculate the three components of the torque vector vector τ = τ x ˆ i + τ y ˆ j + τ z ˆ k . First, calculate the τ x component. Correct answer: − 371 . 148 N m. Explanation: The torque vector is defined as the cross product vector τ = vector X × vector F . In components, this means τ x = y F z − z F y = − 371 . 148 N m , τ y = z F x − x F z = − 201 . 594 N m , τ z = x F y − y F x = 369 . 333 N m . 002 (part 2 of 3) 10.0 points Second, calculate the τ y component. Correct answer: − 201 . 594 N m. Explanation: See above. 003 (part 3 of 3) 10.0 points Finally, calculate the τ z component. Correct answer: 369 . 333 N m. Explanation: See above. 004 (part 1 of 3) 10.0 points A uniform solid sphere parenleftbigg I = 2 5 m r 2 parenrightbigg of mass 1 . 8 kg and radius r = 0 . 445 m, is placed on the inside surface of a hemispherical bowl of radius R = 2 . 34 m. The sphere is released from rest at an angle θ = 42 . 6 ◦ from the vertical and rolls without slipping (see the figure)....
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solution-hw17 - lai(yl8859 – HW17 – Ross –(15200 1...

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