Resultant of 2P and Q with Q | Find Angle θ | JEE PYQ Doubt Solved | Vector Concepts

 

🧲 The Sum of Two Forces P and Q is R | Angle Between 2P and Q | JEE Physics Doubt Solved

📌 Question:

The sum of two forces P and Q is R, such that |R| = |P|. What will be the angle θ (in degrees) that the resultant of 2P and Q makes with Q?

🎯 Concept Tested:

This problem is a vector-based question from laws of motion and vector addition, where you're given a condition on the magnitude of the resultant and are asked to find the angle of the resultant vector of a modified system.

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🧠 Key Formula to Remember:

• When vectors are added:

  $$\vec{R} = \vec{P} + \vec{Q}$$

• If $|\vec{R}| = |\vec{P}|$, it leads to a specific geometrical configuration.

• The new resultant is:

  $$\vec{R'} = 2\vec{P} + \vec{Q}$$

• Use vector triangle rules or dot product to determine the angle between $\vec{R'}$and $\vec{Q}$.

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🔍 Why This Question is Important for JEE:

• Combines vector addition concepts with geometrical visualization

• A clever twist on resultant and direction problems

• Frequently found in JEE Main and Advanced to test depth of conceptual clarity

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📷 Solution Image:

📹 Watch Full Video Solution:

On our YouTube channel, we break down this vector trick using simple geometry and physics – watch now to understand the intuition behind it.
👉  Watch, Pause, Solve, Repeat!

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