Physics Form Two Notes – Forces in Equilibrium

These Physics Form Two notes cover Forces in Equilibrium. The material is organised in clear sections for easier reading, understanding and revision.

Forces In Equilibrium

Moment of a Force

The Effects of Turning Forces Explain the effects of turning forces A force is a push or pull which when applied to a body it will change its state either by stopping

it if it was in motion or making it move if it was at rest.

If a body under the action of a net external force is allowed to rotate about a pivot, the body will

tend to turn in the direction of the applied force.

• Force
• here
• Turning effect
• produced by force

Examples of turning effect of force: A person pushing a swing will make the swing rotate about its pivot. A worker applies force to a spanner to rotate a nut. A person removes a bottle’s cork by pushing down the bottle opener’s lever. Force is applied to a door knob and the door swings open about its hinge. A driver can turn a steering wheel by applying force on its rim.

The Moment of Force

Determine the moment of force

Moment of forceabout a point is the turning effect of the force about that point. The change of state of a body can appear in several forms and the most common form is the turning effect

which is referred to as moment of a force.

The unit for a force isNewton, Nwhile that for moment of a force isNewton-meter, Nm. Moment = Force, F x Perpendicular distance, x.

Moment = Fx

Consider the diagram below;

. |

|

WwW,

Moment of W, about the fulcrum. = W,d,

Moment of W2 about fulcrum = W2d2

The Principle of Moments

State the principle of moments

The Principle of moments states that: "If a body is in equilibrium under a force which lie in one plane, the sum of the clockwise moments is equal to the sun of the anticlockwise moments

about any point in that plane.”

Experiment.

Aim: To determine the moment of a force.

Materials and apparatus:Meter rule, several different weights, inelastic cotton thread, knife edge

and a marker pen.

Procedures

Balance the meter rule horizontally on a knife edge. Mark a balance point as C. Use the marker pen to do that.

. Suspend a meter rule from a fixed axis through C. Suspend unequal weights W; and W2

from the meter rule by using thin cotton threads.

. Adjust the distance d; and dz of the weights W, and W2 from C until the meter rule

balance.

. Repeat the experiment five times using different values of W, and W2.Record the results

on the table as shown below.

Wig) W2(g) Ws: di (gem)

Observation:In each case it will be found that W, dy is equal to W2 dz.

The Principle of Moment in Daily Life

Apply the principle of moment in daily life

• Moment of a force is used in the following:
• Is applied by a hand to unscrew a stopper on the bottle.
• Is applied by a spanner to unscrew a nut on a bottle.
• Turning a steering wheel of a car.

Centre of Gravity Centre of Gravity

Explain centre of gravity

Center of gravity of a body is the point at which the weight of a body appears to be concentrated. OR center of gravity of a body is the point of application of the resultant force due to the earth attraction on the body.The center of gravity of a regular body is found to be at its

geometrical center. Example 1 a Centre of gravity of a uniform meter rule is at the 50cm mark.

b. Centre of gravity of a circular object is at its center.

The center of gravity of irregular bodies can be found experimentally.

Centre of Gravity of Regular Shaped Body

Determine centre of gravity of regular shaped body

Experiment

Aim; To determine the center of gravity of a regular body (meter rule) Materials and apparatus: Meter rule, a known weight and a spring balance. Procedures

. Balance the meter rule on a fulcrum and mark the position where the meter rule balances

horizontally by the letter G.

+ Hang a known weight from one end of the meter rule and determine the position where

the meter rule balances and mark it X.

. Measure the distance XC and XG(C is the point at the end of the meter rule where an

object of known weight, w is attached).

Vv Weight, wa

The weight, w of the meter rule always acts at G downwards. Thus it will create a moment to

balance the moment due to w. Results

The mass of the meter rule, w is determined by using the principle of moments.Taking moments

Anticlockwise moments

Centre of Gravity of Irregular Shaped Body

Determine centre of gravity of irregular shaped body

Experiment

Aim: To determine the center of gravity of irregular plate.

Materials and apparatus:Card board, plumb line, inelastic cotton thread, clamp, clamp rod and a

marker pen. Procedures

Make an irregular shaped piece of card board.

Make three small holes well-spaced round the edge of the cardboard.

+ Suspend the cardboard using a nail or the rod of a clamp or a stout pin in a clamp from

one of the holes. Suspend the plumb line in front of the card.

Mark the position of the string of the plumb line on the card by two small cro:

Repeat the exercise for the other two holes. Join each pair of crosses with a straight line.

8.169 Hole 1. Hole2. Hole 3.

Centre of J 4 gravity

Result and Observation

The three straight lines meets at a certain point. This point is the center of gravity of the body.

Types of Equilibrium

The Condition for Equilibrium

Explain the condition for equilibrium

Equilibrium:A body is said to be balanced if its center of gravity is directly above the point of support.

Stable, Unstable and Neutral Equilibrium Explain Stable, Unstable and Neutral equilibrium

There are three types of equilibrium, namely:

1 Stable equilibrium

Unstable equilibrium Neutral equilibrium

Stable equilibrium:A body is said to be in stable equilibrium if is given with small displacement the center of gravity will be raised and the body returns to its original position after

displacement

Unstable equilibrium:A body is said to be in unstable equilibrium if when given a small displacement the center of gravity will be lowered and the body doesn’t returns to its original

position after displacement.

Neutral equilibrium:A body is said to be in neutral equilibrium when a small displacement doesn’t alter the position of the center of gravity; the body is at rest in whichever position it is

placed, eg, rolling a sphere or a barrel

‘Stable eguitnum Unstable equtbrium

Conditions of Stable, Unstable and Neutral Equilibrium in Daily Life

Apply conditions of stable, unstable and neutral equilibrium in daily life

• Application of turning effect in daily life
• Is applied by a hand to unscrew a stopper on the bottle.
• Is applied by a spanner to unscrew a nut on a bottle.
• Turning a steering wheel of a car.

The moment of a force about a point is 1120 Nm_If the magnitude of the force is 5600N, find the

perpendicular distance between the point and the line of action of the force