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  6. ›Μηχανική στερεού σώματος

Panhellenic Exams / Physics / Curriculum

Μηχανική στερεού σώματος

Μηχανική στερεού σώματος: structured theory, worked examples, answered practice, and a mastery checklist for Panhellenic Exams.

CHAPTER PLAN

Learn, practise, and check your progress

Follow the steps in order or jump directly to the part you need.

—/5

completed

Estimated active study time

209 minutes

  1. 1. Understand

    Objectives, key ideas, and structured theory.

    Open →
  2. 2. Follow the method

    Worked examples that explain every step.

    Open →
  3. 3. Practise

    Graded tasks with hints and answer guidance.

    Open →
  4. 4. Consolidate

    Assignments from core work to challenge.

    Open →
  5. 5. Check

    A timed, marked test with solution guidance.

    Open →

Progress is stored only in this browser and does not require AI credits.

Learning objectives

  • ✓Describe “Κινήσεις στερεών σωμάτων” using evidence from observation, measurement, or a model.
  • ✓Describe “Ροπή δύναμης” using evidence from observation, measurement, or a model.
  • ✓Describe “Ισορροπία στερεού” using evidence from observation, measurement, or a model.
  • ✓Describe “Στροφική κίνηση” using evidence from observation, measurement, or a model.
  • ✓Describe “Ροπή αδράνειας” using evidence from observation, measurement, or a model.

Key ideas and checks

  • I define an appropriate conservation system.
  • I compare initial and final states.
  • Every solution or explanation for “Μηχανική στερεού σώματος” should include a method, justification, and final check.

Unit

Core theory

The essential chapter ideas in a clear sequence before practice.

01

System and transfer

Define the system and identify how energy or momentum is transferred. Conservation applies to the correct system and time interval.

02

Initial and final states

Write initial and final quantities before substituting numbers. This exposes losses, external work, and direction.

03

Power and rate

Energy describes an amount, while power describes its transfer rate. Do not compare systems using work alone when time matters.

04

Κινήσεις στερεών σωμάτων

For “Κινήσεις στερεών σωμάτων”, start from an observation or model, define quantities and units where relevant, and separate the changed factor from the measured outcome. Support the conclusion with data and state the test's limitations.

05

Ροπή δύναμης

For “Ροπή δύναμης”, start from an observation or model, define quantities and units where relevant, and separate the changed factor from the measured outcome. Support the conclusion with data and state the test's limitations.

06

Ισορροπία στερεού

For “Ισορροπία στερεού”, start from an observation or model, define quantities and units where relevant, and separate the changed factor from the measured outcome. Support the conclusion with data and state the test's limitations.

07

Στροφική κίνηση

For “Στροφική κίνηση”, start from an observation or model, define quantities and units where relevant, and separate the changed factor from the measured outcome. Support the conclusion with data and state the test's limitations.

08

Ροπή αδράνειας

For “Ροπή αδράνειας”, start from an observation or model, define quantities and units where relevant, and separate the changed factor from the measured outcome. Support the conclusion with data and state the test's limitations.

Physics

Worked examples

Follow the method step by step and check why every step is valid.

Worked energy example

A 5 kg body moves at 6 m/s. Find its kinetic energy and momentum.

  1. 1Ek = 1/2 mv² = 1/2 · 5 · 6².
  2. 2p = mv = 5 · 6.
  3. 3Check that the units are J and kg·m/s respectively.

Ek = 90 J, p = 30 kg·m/s

Reasoning example

Before calculating, explain the key idea from “Κινήσεις στερεών σωμάτων” and which conditions must be checked.

  1. 1Define the idea in one clear sentence.
  2. 2Connect it to a representation, law, or formula.
  3. 3State a restriction, unit, or final check that makes the solution valid.

The answer should show not only which rule is used for “Κινήσεις στερεών σωμάτων”, but also why it is valid here.

Μηχανική στερεού σώματος

Practice with answers

Eight graded tasks from core fluency to exam-style application. Work independently before opening a hint or answer.

Core fluency4 minutes

A 9 kg mass moves at 5 m/s. Find kinetic energy.

Hint

Ek=1/2 mv².

Answer guide

Ek=112.5 J.

Core fluency5 minutes

A machine transfers 1000 J in 10 s. Find power.

Hint

P=E/t.

Answer guide

P=100 W.

Application6 minutes

Structure a solution for “Ισορροπία στερεού”: givens, SI units, law, substitution, and interpretation.

Hint

State the law before substituting numbers.

Answer guide

A full solution states symbols/units, selects a valid law for “Ισορροπία στερεού”, shows substitution and calculation, and interprets the result.

Application7 minutes

Identify three uncertainty sources in measuring “Στροφική κίνηση” and improve each one.

Hint

Consider instrument resolution, reaction time, repeats, and controls.

Answer guide

A full response links each specific error source to a targeted improvement and identifies random or systematic impact.

Reasoning8 minutes

Plan a suitable graph for “Ροπή αδράνειας” data and explain how to obtain a gradient or relationship.

Hint

Put the independent variable on x and dependent variable on y.

Answer guide

A full response labels axes/units, uses a suitable scale and best fit; gradient uses a large triangle and is interpreted with units.

Reasoning9 minutes

Check whether a result for “Στροφορμή” is sensible using units, order of magnitude, and a limiting case.

Hint

A check should not merely repeat the same calculation.

Answer guide

A full check confirms dimensions/units, compares expected magnitude, and tests behaviour when one variable becomes very small or large.

Exam style10 minutes

Connect “Διατήρηση στροφορμής όπου προβλέπεται” to energy conservation or a force/field model and justify the choice.

Hint

Define the system and interactions.

Answer guide

A full response defines the system, describes transfer or interaction, applies the appropriate model, and states losses or limitations.

Exam style12 minutes

Write a multi-step exam response about “Κινητική ενέργεια λόγω περιστροφής” with calculation and evaluation.

Hint

Separate givens, model, calculation, result, and evaluation.

Answer guide

A full response includes an appropriate diagram/model, laws, algebraic rearrangement, SI substitution, suitably precise result, and evaluation of assumptions.

Common mistakes

  • Applying conservation while ignoring an external interaction.
  • Confusing energy, force, and power.
  • Ignoring direction in momentum or collision work.

Mastery check

  • ✓I define an appropriate conservation system.
  • ✓I compare initial and final states.
  • ✓I distinguish energy, work, momentum, and power.

Μηχανική στερεού σώματος

Chapter homework

Six distinct assignments from core fluency to challenge, each with an estimated time, hint, and answer guide.

Core8 minutes

Homework 1: A 5 kg mass moves at 6 m/s. Find kinetic energy.

Hint

Ek=1/2 mv².

Answer guide

Ek=90 J.

Core10 minutes

Homework 2: A machine transfers 2400 J in 15 s. Find power.

Hint

P=E/t.

Answer guide

P=160 W.

Stretch12 minutes

Homework 3: Structure a solution for “Ισορροπία στερεού”: givens, SI units, law, substitution, and interpretation.

Hint

State the law before substituting numbers.

Answer guide

A full solution states symbols/units, selects a valid law for “Ισορροπία στερεού”, shows substitution and calculation, and interprets the result.

Stretch15 minutes

Homework 4: Identify three uncertainty sources in measuring “Στροφική κίνηση” and improve each one.

Hint

Consider instrument resolution, reaction time, repeats, and controls.

Answer guide

A full response links each specific error source to a targeted improvement and identifies random or systematic impact.

Challenge18 minutes

Homework 5: Plan a suitable graph for “Ροπή αδράνειας” data and explain how to obtain a gradient or relationship.

Hint

Put the independent variable on x and dependent variable on y.

Answer guide

A full response labels axes/units, uses a suitable scale and best fit; gradient uses a large triangle and is interpreted with units.

Challenge20 minutes

Homework 6: Check whether a result for “Στροφορμή” is sensible using units, order of magnitude, and a limiting case.

Hint

A check should not merely repeat the same calculation.

Answer guide

A full check confirms dimensions/units, compares expected magnitude, and tests behaviour when one variable becomes very small or large.

50 minutes / 40 marks

Full chapter test

A timed, full-mark self-assessment with model-answer guidance.

Test timer

Ready to start

Time remaining: 50:00

Start the timer when ready, work without notes, show every step, and open model answers only after finishing.

1. A 3 kg mass moves at 6 m/s. Find kinetic energy.

2 marks
Answer guide

Ek=54 J.

2. A machine transfers 1800 J in 15 s. Find power.

3 marks
Answer guide

P=120 W.

3. Structure a solution for “Ισορροπία στερεού”: givens, SI units, law, substitution, and interpretation.

3 marks
Answer guide

A full solution states symbols/units, selects a valid law for “Ισορροπία στερεού”, shows substitution and calculation, and interprets the result.

4. Identify three uncertainty sources in measuring “Στροφική κίνηση” and improve each one.

4 marks
Answer guide

A full response links each specific error source to a targeted improvement and identifies random or systematic impact.

5. Plan a suitable graph for “Ροπή αδράνειας” data and explain how to obtain a gradient or relationship.

4 marks
Answer guide

A full response labels axes/units, uses a suitable scale and best fit; gradient uses a large triangle and is interpreted with units.

6. Check whether a result for “Στροφορμή” is sensible using units, order of magnitude, and a limiting case.

4 marks
Answer guide

A full check confirms dimensions/units, compares expected magnitude, and tests behaviour when one variable becomes very small or large.

7. Connect “Διατήρηση στροφορμής όπου προβλέπεται” to energy conservation or a force/field model and justify the choice.

5 marks
Answer guide

A full response defines the system, describes transfer or interaction, applies the appropriate model, and states losses or limitations.

8. Write a multi-step exam response about “Κινητική ενέργεια λόγω περιστροφής” with calculation and evaluation.

5 marks
Answer guide

A full response includes an appropriate diagram/model, laws, algebraic rearrangement, SI substitution, suitably precise result, and evaluation of assumptions.

9. Compare two methods for investigating “Κύλιση χωρίς ολίσθηση” and select the more reliable using criteria.

5 marks
Answer guide

The choice must use at least three comparable criteria and acknowledge one trade-off or limitation.

10. Create an extension question about “Κινήσεις στερεών σωμάτων”, a prediction, and a data-collection plan.

5 marks
Answer guide

A full response gives a testable question, justified prediction, independent-variable range, repeats, and an analysis method.

Unit

Official sources and verification

Curriculum reference sources. Always confirm the teaching sequence with the school and tutor.

Ινστιτούτο Εκπαιδευτικής Πολιτικής (ΙΕΠ)Official curriculum programmes and announcements.Ψηφιακό Σχολείο / Διαδραστικά Σχολικά ΒιβλίαOfficial school textbooks and available digital material.

Physics

Strict methodology by question: diagram, principles/laws, equations, numerical accuracy, and qualitative explanation.

Back to subject

What this chapter covers

The structure follows the official textbook layout and is used to organise study.

Κινήσεις στερεών σωμάτων
Ροπή δύναμης
Ισορροπία στερεού
Στροφική κίνηση
Ροπή αδράνειας
Στροφορμή
Διατήρηση στροφορμής όπου προβλέπεται
Κινητική ενέργεια λόγω περιστροφής
Κύλιση χωρίς ολίσθηση

Where to focus

The areas that usually create mistakes or need extra revision.

I define an appropriate conservation system.
I compare initial and final states.
I distinguish energy, work, momentum, and power.

Sources, daily material, and resources

Where to start: textbook, daily material, PDFs, videos, and worked examples.

Start from the official textbook or specification referenced on the subject page.
Use the notes and examples as support, not as a replacement for the official syllabus.
Check the current syllabus version before exam preparation.

Practice by subtopic

Targeted practice before full tests so coverage is clear.

A 9 kg mass moves at 5 m/s. Find kinetic energy.
A machine transfers 1000 J in 10 s. Find power.
Structure a solution for “Ισορροπία στερεού”: givens, SI units, law, substitution, and interpretation.
Identify three uncertainty sources in measuring “Στροφική κίνηση” and improve each one.
Plan a suitable graph for “Ροπή αδράνειας” data and explain how to obtain a gradient or relationship.
Check whether a result for “Στροφορμή” is sensible using units, order of magnitude, and a limiting case.
Connect “Διατήρηση στροφορμής όπου προβλέπεται” to energy conservation or a force/field model and justify the choice.
Write a multi-step exam response about “Κινητική ενέργεια λόγω περιστροφής” with calculation and evaluation.

Mocks and progress checks

How to measure progress in this chapter and when it enters a cumulative mock.

Start with untimed practice by subtopic.
Move to a short timed checkpoint only after completing the mastery checklist.
Record each error with the correct method and revisit it after 48 hours.

Next step

What to do after finishing the chapter and how it connects to the next unit.

Complete the practice without support.
Explain the core method aloud in under two minutes.
Continue to the next chapter or request targeted tutor support.

Note: for the official examinable syllabus of each school year, always confirm with the school, tutor, and current Ministry/IEP announcements.

Chapter 2 of 8

← Previous chapterΚρούσεις και σχετική κίνησηNext chapter →Ταλαντώσεις
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