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In this lesson, we will learn how to find the resultant of a system of parallel coplanar forces and how to locate its point of action.

Q1:

The points π΄ , π΅ , πΆ , π· , and πΈ are lying on the same straight line, where 2 π΄ π΅ = π΅ πΆ = 3 πΆ π· = 6 π· πΈ = 6 c m . Four parallel forces of magnitudes 14, 19, πΉ , and 20 newtons are acting at π΄ , πΆ , π· , and πΈ respectively. If their resultant passes through point π΅ , calculate the size of force πΉ , giving your answer in newtons.

Q2:

The points π΄ , π΅ , πΆ , π· , and πΈ are lying on the same straight line, where 2 π΄ π΅ = 5 π΅ πΆ = πΆ π· = 2 π· πΈ = 1 0 c m . Four parallel forces of magnitudes 19, 8, πΉ , and 15 newtons are acting at π΄ , πΆ , π· , and πΈ respectively. If their resultant passes through point π΅ , calculate the size of force πΉ , giving your answer in newtons.

Q3:

The points π΄ , π΅ , πΆ , π· , and πΈ are lying on the same straight line, where 7 π΄ π΅ = π΅ πΆ = 3 πΆ π· = 3 π· πΈ = 2 1 c m . Four parallel forces of magnitudes 16, 19, πΉ , and 18 newtons are acting at π΄ , πΆ , π· , and πΈ respectively. If their resultant passes through point π΅ , calculate the size of force πΉ , giving your answer in newtons.

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