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5. (a) Let a force acting on a body is defined as F = 21 + 3j – 5k and the position vector of a point P is given by i = î - j + 6k. The torque t acting at the point is defined as the cross (vector) product, 7 =7 x F. Calculate the torque acting at that point. (b) The pilot of a plane points his airplane due South and flies with an airspeed of 120 m/s. There is a steady wind blowing due West with a constant speed of 40 m/s. What is the resultant speed of the airplane? What is the angle (direction, 0) of the plane's motion?

5. (a) Let a force acting on a body is defined as F = 21 + 3j – 5k and the position vector of a point P is given by i = î - j + 6k. The torque t acting at the point is defined as the cross (vector) product, 7 =7 x F. Calculate the torque acting at that point. (b) The pilot of a plane points his airplane due South and flies with an airspeed of 120 m/s. There is a steady wind blowing due West with a constant speed of 40 m/s. What is the resultant speed of the airplane? What is the angle (direction, 0) of the plane's motion?

Principles of Physics: A Calculus-Based Text
Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter10: Rotational Motion
Section: Chapter Questions
Problem 7OQ: Answer yes or no to the following questions. (a) Is it possible to calculate the torque acting on a...
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5. (a) Let a force acting on a body is defined as F = 21 + 3j – 5k and the position vector of a point P is given by i = î - j + 6k. The torque t acting at the point is defined as the cross (vector) product, 7 =7 x F. Calculate the torque acting at that point. (b) The pilot of a plane points his airplane due South and flies with an airspeed of 120 m/s. There is a steady wind blowing due West with a constant speed of 40 m/s. What is the resultant speed of the airplane? What is the angle (direction, 0) of the plane's motion?
Transcribed Image Text:5. (a) Let a force acting on a body is defined as F = 21 + 3j – 5k and the position vector of a point P is given by i = î - j + 6k. The torque t acting at the point is defined as the cross (vector) product, 7 =7 x F. Calculate the torque acting at that point. (b) The pilot of a plane points his airplane due South and flies with an airspeed of 120 m/s. There is a steady wind blowing due West with a constant speed of 40 m/s. What is the resultant speed of the airplane? What is the angle (direction, 0) of the plane's motion?
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