Physics: Moment of Force and Equilibrium

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Questions and Answers

What happens to the speed of a falling object at the beginning of its fall?

  • It decreases gradually.
  • It accelerates upwards.
  • It remains constant.
  • It accelerates downwards. (correct)

A feather and a coin will fall at the same speed once air resistance equals their weights.

False (B)

What is terminal velocity?

Terminal velocity is the steady speed an object reaches when the force of air resistance equals the force of gravity.

When a falling object experiences terminal velocity, the resultant force acting on it is _____ .

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

Match the following stages of falling objects with their descriptions:

<p>Accelerating Stage = Object accelerates downwards due to weight Terminal Velocity Stage = Object moves with steady speed Final Stage = Object impacts the ground without further acceleration</p> Signup and view all the answers

Which of the following motions can a soft rubber ball undergo when acted upon by forces?

<p>Rotational, translational, and vibrational motion (D)</p> Signup and view all the answers

A rigid body in uniform motion will change its state of motion if the resultant force applied on it is zero.

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

What is the special force called that balances the resultant force acting on a body?

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

A branch of mechanics that studies forces in equilibrium is called ______.

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

Match the following terms with their definitions:

<p>Force = A vector quantity that causes motion Equilibrium = State where resultant forces are zero Resultant force = The overall effect of all forces acting on a body Equilibrant = A force that balances the resultant force</p> Signup and view all the answers

What must be true for a body to be in equilibrium?

<p>Both total force and total turning effect must be zero (B)</p> Signup and view all the answers

A non-rigid body cannot execute vibrational motion when acted upon by a couple of forces.

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

What is the turning effect of a force called?

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

The unit of moment of force is expressed in joules.

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

What is the formula for calculating the moment of couple?

<p>Ï„ = F x d</p> Signup and view all the answers

The moment of a force brings about _____ or _____ rotation of the body.

<p>counter clockwise, clockwise</p> Signup and view all the answers

Which of the following represents the torque applied if two forces of 20 N each act on a steering wheel with a diameter of 40 cm?

<p>8 Nm (A)</p> Signup and view all the answers

When a body is in equilibrium, the total counter clockwise moment is less than the total clockwise moment.

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

Describe the principle of moments in your own words.

<p>The principle of moments states that an object is in equilibrium when the total moments acting in one direction are equal to the total moments acting in the opposite direction.</p> Signup and view all the answers

The perpendicular distance between the forces in a moment of couple is represented as _____ (use symbol).

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

What did Aristotle believe about the speed of falling objects?

<p>It is directly proportional to weight. (B)</p> Signup and view all the answers

Galileo Galilei proved that all objects fall at the same rate regardless of mass.

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

Define torque of a couple.

<p>Torque of a couple is the measure of the rotational effect produced by two equal and opposite forces acting at a distance apart.</p> Signup and view all the answers

The force that causes objects to fall is called _____ .

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

Match the scientists with their contributions to the understanding of falling objects:

<p>Aristotle = Believed heavier objects fall faster Galileo = Showed objects of the same shape fall together Newton = Explained the force of gravity Air resistance = Acts upwards against falling objects</p> Signup and view all the answers

What happens to a free falling object as it continues to fall?

<p>It accelerates until it reaches terminal velocity. (B)</p> Signup and view all the answers

Air resistance acts in the same direction as the weight of an object.

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

The weight of an object acts _____ .

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

Name one factor that affects the terminal velocity of a falling object.

<p>Shape or cross-sectional area.</p> Signup and view all the answers

Which of the following is NOT a characteristic of a free falling object?

<p>It doesn't collide with any other object. (A)</p> Signup and view all the answers

In a state of equilibrium, what is true about the total moments?

<p>Total Clockwise Moment is equal to Total Counter Clockwise Moment (D)</p> Signup and view all the answers

The equation F1 x d1 = F2 x d2 is applicable only when there are more than two forces acting on the lever.

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

What equipment is needed to verify the principle of moments as mentioned?

<p>A metre ruler, wedge, weights, clamp and stand, and thread.</p> Signup and view all the answers

In Figure 1.15, the equation for total moments is F1 x d1 = (F2 x d2) + (F3 x ______).

<p>d3</p> Signup and view all the answers

Match the following forces with their respective moments:

<p>F1 = Counterbalance for F2 and F3 F2 = Clockwise Moment F3 = Clockwise Moment</p> Signup and view all the answers

What must be done to achieve equilibrium during the experiment?

<p>Adjusting the distance of the two weights from the pivot (B)</p> Signup and view all the answers

To ensure a ruler is perfectly horizontal, both weights must be equal.

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

What is the next step after recording the weights in Activity 1.3?

<p>Hang the two weights on either side of the pivot.</p> Signup and view all the answers

In equilibrium, the moment of force in clockwise direction must equal the moment of force in ______.

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

What equation represents the balance of moments in the case of two forces acting on a lever?

<p>F1 x d1 = F2 x d2 (B)</p> Signup and view all the answers

Flashcards

Equilibrant

A force that balances another force, preventing motion or change in motion.

Resultant Force

The sum of all forces acting on an object.

Statics

The study of forces in equilibrium, meaning objects are at rest or moving at a constant velocity.

Turning Effect of Force

The tendency of a force to cause rotation about a point.

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Rigid Body

An object that resists changes in shape and size when acted upon by forces.

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Force

Any influence that can cause an object to move or change its motion.

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Equilibrium

The state where an object is at rest or moving at a constant velocity.

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Moment of Force

The turning effect of a force about a fixed point (pivot) is known as the moment of force. It's determined by the force's magnitude and its perpendicular distance from the pivot.

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Moment Arm

The perpendicular distance from the line of action of a force to the pivot is known as the moment arm. This distance plays a key role in calculating the moment of force.

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Calculating Moment of Force

The moment of force is calculated as the product of the magnitude of the force and the moment arm. It's a measure of the rotational force.

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Moment of Couple

A pair of equal and opposite forces acting on a body, forming a couple. The moment of the couple is measured by the product of one force and the perpendicular distance between them.

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Rotational Equilibrium

A body is in rotational equilibrium when the total clockwise moment equals the total counterclockwise moment acting on it. It won't rotate.

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Principle of Moments

The principle of moments states that when a body is in rotational equilibrium (no rotation), the sum of clockwise moments equals the sum of counterclockwise moments.

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Clockwise Moment

The clockwise moment is the moment that would cause the body to rotate in a clockwise direction. It's calculated as the force multiplied by the perpendicular distance from the line of action of the force to the pivot point.

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Counterclockwise Moment

The counterclockwise moment is the turning effect that would cause the body to rotate in a counterclockwise direction. It's calculated as the force multiplied by the perpendicular distance from the line of action of the force to the pivot point.

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Fulcrum

A pivot point around which moments (turning effects) are calculated. It's the fixed point in a rotational system.

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Moment of force (or torque)

The tendency of a force to cause an object to rotate around a fixed point.

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Equilibrium of moments

The condition when the total clockwise moment equals the total counter-clockwise moment.

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Moment of force due to a single force

The moment of force produced by a force acting at a perpendicular distance from the pivot point.

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Total clockwise moment

The sum of moments of force acting in the clockwise direction.

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Total counter-clockwise moment

The sum of moments of force acting in the counter-clockwise direction.

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Pivot point

A point about which an object rotates.

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Point of application of force

The point where a force acts on an object

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Torque

The tendency of a force to cause rotation about a fixed point or axis.

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Couple

A pair of equal and opposite forces that act on a rigid body, creating a turning effect.

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Torque of a couple

The product of the force and the perpendicular distance from the axis of rotation to the line of action of the force.

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Free Falling Object

A falling object that is only affected by gravity.

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Air Resistance

The force that opposes the motion of an object through a fluid (like air).

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Terminal Velocity

The constant velocity that a falling object eventually reaches, where the force of gravity is balanced by air resistance.

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Gravity

The force exerted by the Earth on all objects near it, causing falling objects to accelerate downwards.

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Weight

The downward force on an object due to gravity.

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Mass

A measure of the amount of matter in an object.

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Dynamic Equilibrium

The state where the net force acting on an object is zero, resulting in no acceleration. The object is either at rest or moving at a constant velocity.

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Acceleration

The rate at which an object's velocity changes over time.

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Study Notes

Moment of Force

  • Learning Objectives: Describe statics, equilibrium, resultant, moment and parallelogram law of forces, couple, torque, and principle of moments.
  • Forces and Equilibrium: The motion of a single point in a body can be described with translational motion. A body can also rotate or vibrate. A rigid body's shape and size remain consistent when acted upon.
  • Resultant Force:
    • Forces along the same line and direction add to a resultant force. The body moves in the direction of the greater force.
    • When equal forces act in opposite directions, the resultant force is the difference in magnitude. The body moves in the direction of the greater force.

Couple

  • Definition: A pair of equal and parallel forces acting in opposite directions.
  • Effect: Creates a turning effect (moment of couple or torque).
  • Mathematical Formula: Moment of couple (Ï„) = Force (F) x Perpendicular distance (d) between forces (Nm).

Principle of Moments

  • Definition: The total counter-clockwise moment equals the total clockwise moment for a body in equilibrium.
  • Formula: Total Counter Clockwise Moments = Total Clockwise Moments

Falling Objects

  • Learning Objectives: Explain forces changing with velocity, terminal velocity.
  • Force on Falling Objects: Objects accelerate due to gravity, but air resistance also opposes the motion. The weight is a force downwards, while the air resistance is upwards. Terminal velocity is the constant speed attained when air resistance equals gravity.
  • Free Falling Objects: Objects in free fall experience only gravity. Accelerate downwards at 9.8 m/s^2.
  • Drag Force: Air resistance increasing with an object's speed. Depends on velocity, surface area, air density, and object shape.
  • Terminal Velocity: The constant speed reached when an object falls vertically, occurring when air resistance opposing gravity equals the object's weight.
  • Stages of Falling Objects:
    • Initial acceleration downwards due to gravity.
    • Increasing air resistance with increased speed;
    • Air resistance eventually balances the object's weight, resulting in constant terminal velocity.

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