Physics: Equilibrium of a Lever
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Questions and Answers

What is the formula used to calculate the work done when lifting an object vertically?

  • $W_{\text{lift}} = (m \times g) \times h$ (correct)
  • $W = F \times d$
  • $W = g \times h$
  • $W = m \times h$

In a lever system, what must be true for the lever to be in equilibrium?

  • The moment on the left side must equal the moment on the right side. (correct)
  • The total force on the left must be less than the total force on the right.
  • The forces must be acting at the same distance from the fulcrum.
  • The weight on the left must be greater than the weight on the right.

Which of the following represents the 'force' in the work done equation?

  • The distance moved by the object
  • The gravitational potential energy of the object
  • The weight of the load being lifted (correct)
  • The total mass of the object only

What is the correct expression for calculating the moment of a force?

<p>$M = F \times d$ (C)</p> Signup and view all the answers

If an object of mass $m$ is lifted to a height $h$, what is the gravitational force acting on it?

<p>$F = m \times g$ where $g$ is the acceleration due to gravity (A)</p> Signup and view all the answers

What is required for a lever to be in equilibrium?

<p>The moments on both sides of the lever must be equal. (C)</p> Signup and view all the answers

How is the moment of a force calculated?

<p>M = F imes d (A)</p> Signup and view all the answers

If a load has a mass of 10 kg, what is the force exerted by the load due to gravity (assuming g = 9.8 m/s²)?

<p>98 N (B)</p> Signup and view all the answers

Which equation represents the condition for a lever to be balanced?

<p>M_L = M_R (D)</p> Signup and view all the answers

What does the variable 'd' represent in the formula for work?

<p>The distance moved in the direction of the force. (D)</p> Signup and view all the answers

If the moment on the left side of the fulcrum is 50 Nm and the distance from the fulcrum is 2 m, what is the force applied on that side?

<p>50 N (A)</p> Signup and view all the answers

In the equation M_L = (m × g) × d_L, what does m represent?

<p>The mass of the load. (C)</p> Signup and view all the answers

What is the relationship between work and the movement of an object?

<p>Work occurs when a force moves an object over a distance. (B)</p> Signup and view all the answers

Flashcards

Inertia

The tendency of an object to resist changes in its motion.

Moment of a Force

The product of a force and the perpendicular distance from the fulcrum to the line of action of the force.

Work Done By a Force

The work done by a force is equal to the product of the force and the distance moved in the direction of the force.

Equilibrium of a Lever

A lever is in equilibrium when the sum of the clockwise moments equals the sum of the anticlockwise moments.

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Work Done in a Vertical Lift

The work done when lifting an object vertically against gravity is equal to the product of the object's weight and the height it's lifted.

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Lever

A rigid bar that can rotate around a fixed point called the fulcrum.

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Fulcrum

The point where a lever pivots.

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Moment

The turning effect of a force applied to a lever.

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Equilibrium

The state where the sum of all forces and moments on a lever is zero.

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Effort Force

The force required to balance the load on a lever.

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Work

The transfer of energy when a force moves an object over a distance.

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Formula for Work

Work = Force x Distance.

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Study Notes

Equilibrium of a Lever

  • A lever is a rigid bar that rotates around a point called the fulcrum.
  • For equilibrium, moments (or torques) on both sides of the fulcrum must be equal.
  • Moment of a force is calculated as: Moment = Force × Distance from the fulcrum.
  • Load's force is its weight (mass × acceleration due to gravity).
  • For equilibrium, Momentleft = Momentright.

Moment Formula

  • Moment (M) = Force (F) × Distance (d) from the fulcrum.
  • Moment on the left side: ML = (mass × gravity) × dL
  • Moment on the right side: MR = FR × dR
  • For equilibrium: (mass × gravity) × dL = FR × dR

Work Done by a Force

  • Work is the transfer of energy when a force moves an object.
  • Work (W) = Force (F) × Distance (d) moved in the direction of the force.
  • In vertical lifts, Force = weight = mass × gravity.
  • Distance moved is the height (h).
  • Work done to lift an object: Wlift = (mass × gravity) × height (h).

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Description

This quiz covers the principles of equilibrium in levers, focusing on torques and moments around the fulcrum. You'll explore the calculations for moments and work done by a force in lifting objects. Test your understanding of these fundamental physics concepts.

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