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Mechanics (89)

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Rotational Motion and Angular MomentumStatics and Torque

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What does the field of statics study?Read the answer and worked solution →What is the first condition necessary for a system to be in equilibrium?Read the answer and worked solution →What is the SI unit of torque?Read the answer and worked solution →You push perpendicular to a door with a force of 40 N at a distance of 0.800 m from the hinges. What torque do you exert about the hinges?Read the answer and worked solution →

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What does the field of statics study?

  1. Collisions between two moving objects
  2. Motion produced by unbalanced forces
  3. Energy stored inside stretched springs
  4. Forces acting on systems in equilibrium
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Correct answer: D. Forces acting on systems in equilibrium

1. Statics is the study of forces in equilibrium, a special case of Newton's second law. 2. Equilibrium here means the system has neither linear nor rotational acceleration. 3. Motion produced by unbalanced forces is dynamics, the opposite starting point. 4. Stored elastic energy and collisions belong to other branches of mechanics. _Source: OpenStax College Physics (CC BY 4.0), Ch 9 "Statics and Torque", section 9.1 The First Condition for Equilibrium_

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What is the first condition necessary for a system to be in equilibrium?

  1. The total kinetic energy of the system is zero
  2. The net external force on the system is zero
  3. The net external torque about the cg is zero
  4. The center of gravity sits above the pivot
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Correct answer: B. The net external force on the system is zero

1. Newton's second law says net F = ma, so zero acceleration requires zero net external force. 2. That gives the first condition, net F = 0, which also forces net Fx = 0 and net Fy = 0. 3. A body in equilibrium may still be moving, so its kinetic energy need not be zero. 4. Zero net torque is the second condition, a separate requirement, not the first one. _Source: OpenStax College Physics (CC BY 4.0), Ch 9 "Statics and Torque", section 9.1 The First Condition for Equilibrium_

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What is the SI unit of torque?

  1. The joule, written as J
  2. The newton meter, written N m
  3. The newton per meter, N/m
  4. The watt second, written W s
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Correct answer: B. The newton meter, written N m

1. Torque is a distance multiplied by a force, so its unit is a length unit times a force unit. 2. Length is measured in meters and force in newtons, giving the newton meter, N m. 3. The joule has the same base dimensions but names an energy, which is a different physical quantity. 4. Newtons per meter is a spring stiffness and the watt second is again an energy, so neither fits. _Source: OpenStax College Physics (CC BY 4.0), Ch 9 "Statics and Torque", section 9.2 The Second Condition for Equilibrium_

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