Equilibrium of Forces in a Plank
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Questions and Answers

The torque of a force is measured by the quantity r × F.

True

The direction of torque is opposite to the direction of the force.

False

The lever arm of a force represents the horizontal distance from the rotation axis to the line of action of the force.

False

For a body to be in static equilibrium, the sum of all torques must be greater than zero.

<p>False</p> Signup and view all the answers

A single force can cause a body to rotate about an axis.

<p>True</p> Signup and view all the answers

A lever is a mechanism that can only be used to balance a smaller force with a larger one.

<p>False</p> Signup and view all the answers

The branch of physics that deals with the motion of material objects is called kinematics.

<p>False</p> Signup and view all the answers

The average velocity of a particle is defined as the ratio of its displacement to the time interval for this displacement.

<p>True</p> Signup and view all the answers

The unit of velocity measurement is km/h.

<p>False</p> Signup and view all the answers

Systematic error is caused by random factors.

<p>False</p> Signup and view all the answers

The Student's coefficient is determined by the type of error.

<p>True</p> Signup and view all the answers

The downward force F used to try to lift the heavy mass M is the same as the reaction force R at the fulcrum.

<p>False</p> Signup and view all the answers

The moment of a force is the product of the force and its perpendicular distance from the fulcrum.

<p>True</p> Signup and view all the answers

The plank will be in equilibrium when the counterclockwise moments are greater than the clockwise moments.

<p>False</p> Signup and view all the answers

The biceps muscles and the jaws are examples of a lever mechanism in a living organism.

<p>True</p> Signup and view all the answers

The mechanical advantage of the lever is the ratio F/l2.

<p>False</p> Signup and view all the answers

Study Notes

Torque and Rotation

  • Torque (τ) is a measure of the tendency of a force to rotate a rigid body about an axis.
  • Torque is defined as the cross product of the force (F) and the distance (r) from the axis of rotation: τ = r × F.
  • The magnitude of the torque is given by: τ = rFsinθ.
  • The direction of τ is that of the advance of a right-handed screw rotated in the direction θ, obtained by rotating r toward F.

Conditions for Static Equilibrium

  • The sum of all forces equals zero: ∑F_i = 0.
  • The sum of all torques equals zero: ∑T_i = 0.

The Lever

  • A lever is a mechanism that allows balancing a larger force by a smaller one.
  • A lever consists of a plank that pivots at a point called the fulcrum.
  • The product of the force and its perpendicular distance from the fulcrum is called the moment of the force.
  • A lever will be in equilibrium when the clockwise and counterclockwise moments are equal.

Kinematics

  • Kinematics is the study of motion using the concepts of space and time, without regard to the cause of the motion.
  • Average velocity is defined as the ratio of the displacement (∆r) to the time interval (∆t) for this displacement: ∆r = ∆t.
  • The unit of velocity measurement is m/s.

Mechanics

  • Mechanics is the branch of physics that deals with the motion of material objects and their interaction.
  • Kinematics is a subdivision of mechanics that is concerned with the study of motion.

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Description

This quiz is about understanding the forces acting on a plank, including the downward force, reaction force, and gravitational force. It covers the concept of equilibrium and how the moment of a force affects the rotation of the plank around the fulcrum.

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