Explanation 1) Concept: We use the concept of static equilibrium i.e. balanced torques and balanced forces to determine the magnitudes of the various torques acting on the rod. 2) Formulae: i) τ → = r → × F → ii) τ → n e t = 0 iii) F → n e t = 0 3) Given: The rod AC is in equilibrium and is held by a rope and friction with the wall. 4) Calculation: a) The rod AC is in equilibrium so the torques and the forces acting on it are balanced.The forces acting on it are tension from the rope, friction from the wall and the weight of the rod. All these forces are balanced. To obtain the value of tension T using a single equation, we need to choose a pivot point so that it will eliminate effect of some of the forces. If we consider the pivot point at C, it will eliminate the effect of frictional forces. So the equation of torque will just be composed of component tension in the string that is perpendicular to the rod and weight

11th Edition

ISBN: 9781119286240

Author: David Halliday, Robert Resnick, Jearl Walker

Publisher: WILEY

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Question

Chapter 12, Problem 7Q

To determine

To find:

a) The position of the rotation axis on the rod

b) The sign of the torque τw due to the rod’s weight

c) The sign of the torque τr due to the pull on the rod by the rope

d) The magnitude of τr compared to the magnitude of τw

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Chapter 12, Problem 6Q

Chapter 12, Problem 8Q

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Chapter 12 Solutions

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a) The position of the rotation axis on the rod b) The sign of the torque τ w due to the rod’s weight c) The sign of the torque τ r due to the pull on the rod by the rope d) The magnitude of τ r compared to the magnitude of τ w

To find: a) The position of the rotation axis on the rod b) The sign of the torque τw due to the rod’s weight c) The sign of the torque τr due to the pull on the rod by the rope d) The magnitude of τr compared to the magnitude of τw

Want to see the full answer?

Chapter 12 Solutions

To find:

a) The position of the rotation axis on the rod

b) The sign of the torque τw due to the rod’s weight

c) The sign of the torque τr due to the pull on the rod by the rope

d) The magnitude of τr compared to the magnitude of τw